A Party Scheduling Problem with FICO Xpress#
Description: A scheduling problem for visitor-host assignments. Feasibility version (no objective function). Demonstrates high-level modeling in AMPL MP, AMPL Python API, and tuning in FICO Xpress
Tags: AMPLPY, MP, highlights, scheduling, assignment, feasibility problem, tuning, xpress
Notebook author: Gleb Belov <gleb@ampl.com>
Reference:
AMPL Xpress documentation. https://dev.ampl.com/solvers/xpress/index.html.
AMPL MP Library: modeling guide. https://mp.ampl.com/.
# Install dependencies
%pip install -q amplpy pandas
# Google Colab & Kaggle integration
from amplpy import AMPL, ampl_notebook
ampl = ampl_notebook(
modules=["xpress"], # modules to install
license_uuid="default", # license to use
) # instantiate AMPL object and register magics
Use %%ampl_eval to evaluate AMPL commands and declarations#
%%ampl_eval
param B > 0, integer;
set BOATS := 1 .. B;
set HOSTS within BOATS;
set VISITORS := BOATS diff HOSTS;
param capacity {BOATS} integer >= 0;
param crew {BOATS} integer > 0;
param guest_cap {i in BOATS} := capacity[i] less crew[i];
param T > 0, integer;
set TIMES := 1..T;
set MEET := {j in VISITORS, jj in VISITORS: j < jj};
# (j,jj) in MEET if j and jj can meet -- each pair only once
var H {VISITORS,TIMES} integer, >= 1, <= B; # host (boat) visited by j at t
VisitHosts {j in VISITORS, jj in VISITORS, t in TIMES}:
H[j,t] != jj;
# a visitor may not serve as a host: H[j,t] in VISITORS
subj to VisitOnce {j in VISITORS}:
alldiff {t in TIMES} H[j,t];
# a crew may visit each host at most once
subj to Cap {i in HOSTS, t in TIMES}:
sum {j in VISITORS} (if H[j,t] = i then crew[j]) <= guest_cap[i];
# boats may not have more visitors than they can handle
subj to MeetDefn {(j,jj) in MEET}:
atmost 1 {t in TIMES} (H[j,t] = H[jj,t]);
# two crews may meet at most once
Define instance data in Python#
import pandas as pd
# For each of 26 boats, crew size
crew_size = [
2,
2,
2,
2,
4,
4,
4,
1,
2,
2,
2,
3,
4,
2,
3,
6,
2,
2,
4,
2,
4,
5,
4,
4,
2,
2,
]
# Which boats are hosts
hosts = [1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 16, 20]
# Boat capacity
capacity = [
6,
8,
12,
12,
12,
12,
12,
10,
10,
10,
10,
10,
8,
8,
8,
12,
8,
8,
8,
8,
8,
8,
7,
7,
7,
7,
]
# Time horizon
time_horizon = 6
Load data directly from Python data structures using amplpy#
ampl.param["B"] = len(crew_size)
ampl.set["HOSTS"] = hosts
ampl.param["capacity"] = capacity
ampl.param["crew"] = crew_size
ampl.param["T"] = time_horizon
Solve with FICO Xpress#
We solve the instance with default options.
ampl.option["solver"] = "xpress"
ampl.option["mp_options"] = "outlev=1"
ampl.snapshot(
"party1_snapshot.run"
) # Debug feature, saves AMPL state including the model
ampl.solve()
XPRESS 9.8.0 (46.01.01): tech:outlev = 1
AMPL MP initial flat model has 78 variables (78 integer, 0 binary);
No objectives;
Constraints: 156 linear;
Algebraic expressions: 78 count; 1014 ifthen;
Logical expressions: 2028 conditional (in)equalitie(s); 13 alldiff;
AMPL MP final model has 4777 variables (2197 integer, 2574 binary);
No objectives;
Constraints: 1118 linear;
Logical expressions: 468 indge; 468 indle;
FICO Xpress v9.8.0, Hyper, solve started 17:17:25, Mar 3, 2026
Heap usage: 2180KB (peak 2180KB, 54KB system)
Minimizing MILP using up to 8 threads and up to 16GB memory, with default controls
Original problem has:
2054 rows 4777 cols 9672 elements 2574 entities
936 inds
Presolved problem has:
1884 rows 2490 cols 8790 elements 2490 entities
LP relaxation tightened
Presolve finished in 0 seconds
Heap usage: 4403KB (peak 6108KB, 54KB system)
Coefficient range original solved
Coefficients [min,max] : [ 1.00e+00, 2.00e+01] / [ 6.25e-02, 1.25e+00]
RHS and bounds [min,max] : [ 1.00e+00, 2.00e+01] / [ 1.00e+00, 2.00e+01]
Objective [min,max] : [ 0.0, 0.0] / [ 0.0, 0.0]
Autoscaling applied standard scaling
Symmetric problem: generators: 13, support set: 2490
Number of orbits: 103, largest orbit: 150
Row orbits: 92, row support: 1843
Will try to keep branch and bound tree memory usage below 15.1GB
Starting concurrent solve with dual (1 thread) and barrier (7 threads)
Concurrent-Solve, 0s
Dual Barrier
objective sum inf
P .0000000 .0000000 |
|
------- optimal -------- | ----- interrupted ------
Concurrent statistics:
Dual: 1500 simplex iterations, 0.03s
Barrier: 6 barrier and 554 simplex iterations, 0.03s
Barrier used 7 threads 7 cores
, crossover used 7 threads
Optimal solution found
Its Obj Value S Ninf Nneg Sum Inf Time
1500 .000000 P 0 0 .000000 0
Dual solved problem
1500 simplex iterations in 0.03 seconds at time 0
Final objective : 0.000000000000000e+00
Max primal violation (abs/rel) : 2.220e-16 / 1.776e-16
Max dual violation (abs/rel) : 0.0 / 0.0
Max complementarity viol. (abs/rel) : 0.0 / 0.0
Starting root cutting & heuristics
Deterministic mode with up to 2 additional threads
Its Type BestSoln BestBound Sols Add Del Gap GInf Time
1 K .000000 0 461 0 403 0
2 K .000000 0 534 331 329 0
3 K .000000 0 400 467 345 0
4 K .000000 0 389 395 315 0
5 K .000000 0 387 384 329 0
6 K .000000 0 400 391 335 0
7 K .000000 0 441 405 321 0
8 K .000000 0 304 434 328 0
9 K .000000 0 371 293 347 0
10 K .000000 0 257 370 322 0
11 K .000000 0 262 260 353 0
12 K .000000 0 228 265 342 0
13 K .000000 0 307 235 350 0
14 K .000000 0 205 304 285 0
15 K .000000 0 270 206 353 0
16 K .000000 0 270 271 302 0
17 K .000000 0 169 274 304 0
18 K .000000 0 202 178 287 0
19 K .000000 0 265 201 321 0
20 K .000000 0 171 414 330 0
21 G .000000 0 156 14 321 0
22 G .000000 0 95 267 302 0
b .000000 .000000 1 0.0e+00 0 0
*** Search completed ***
Uncrunching matrix
Final MIP objective : 0.000000000000000e-01
Final MIP bound : 0.000000000000000e-01
Solution time / primaldual integral : 0.50s/ 99.914552%
Work / work units per second : 1.30 / 2.61
Number of solutions found / nodes : 1 / 1
Max primal violation (abs/rel) : 0.0 / 0.0
Max integer violation (abs ) : 0.0
XPRESS 9.8.0 (46.01.01): optimal solution
5379 simplex iterations
1 branching nodes
Objective = find a feasible point.
Check solution in AMPL#
The below AMPL code checks solution for correctness, in particular tolerance violations. Additional Python code can be used for independent checking.
%%ampl_eval
display solve_result, solve_result_num;
display min {i in 1.._nvars} _var[i].slack;
display min {i in 1.._ncons} _con[i].slack;
display min {i in 1.._nlogcons} _logcon[i].val;
display _varname, _var.slack;
display _conname, _con.slack;
display _logconname, _logcon.val;
solve_result = solved
solve_result_num = 0
min{i in 1 .. _nvars} _var[i].slack = 0
min{i in 1 .. _ncons} _con[i].slack = 0
min{i in 1 .. _nlogcons} _logcon[i].val = 1
: _varname _var.slack :=
1 'H[8,1]' 8
2 'H[8,2]' 6
3 'H[8,3]' 0
4 'H[8,4]' 9
5 'H[8,5]' 3
6 'H[8,6]' 4
7 'H[13,1]' 4
8 'H[13,2]' 4
9 'H[13,3]' 0
10 'H[13,4]' 2
11 'H[13,5]' 5
12 'H[13,6]' 0
13 'H[14,1]' 3
14 'H[14,2]' 8
15 'H[14,3]' 4
16 'H[14,4]' 8
17 'H[14,5]' 1
18 'H[14,6]' 9
19 'H[15,1]' 5
20 'H[15,2]' 0
21 'H[15,3]' 4
22 'H[15,4]' 3
23 'H[15,5]' 9
24 'H[15,6]' 2
25 'H[17,1]' 6
26 'H[17,2]' 1
27 'H[17,3]' 4
28 'H[17,4]' 8
29 'H[17,5]' 9
30 'H[17,6]' 3
31 'H[18,1]' 1
32 'H[18,2]' 2
33 'H[18,3]' 8
34 'H[18,4]' 0
35 'H[18,5]' 9
36 'H[18,6]' 4
37 'H[19,1]' 1
38 'H[19,2]' 9
39 'H[19,3]' 2
40 'H[19,4]' 0
41 'H[19,5]' 6
42 'H[19,6]' 8
43 'H[21,1]' 0
44 'H[21,2]' 9
45 'H[21,3]' 8
46 'H[21,4]' 2
47 'H[21,5]' 8
48 'H[21,6]' 6
49 'H[22,1]' 3
50 'H[22,2]' 5
51 'H[22,3]' 9
52 'H[22,4]' 1
53 'H[22,5]' 2
54 'H[22,6]' 8
55 'H[23,1]' 0
56 'H[23,2]' 3
57 'H[23,3]' 8
58 'H[23,4]' 5
59 'H[23,5]' 9
60 'H[23,6]' 4
61 'H[24,1]' 8
62 'H[24,2]' 8
63 'H[24,3]' 9
64 'H[24,4]' 3
65 'H[24,5]' 9
66 'H[24,6]' 5
67 'H[25,1]' 4
68 'H[25,2]' 3
69 'H[25,3]' 6
70 'H[25,4]' 8
71 'H[25,5]' 2
72 'H[25,6]' 0
73 'H[26,1]' 5
74 'H[26,2]' 0
75 'H[26,3]' 3
76 'H[26,4]' 9
77 'H[26,5]' 8
78 'H[26,6]' 1
;
: _conname _con.slack :=
1 'Cap[1,1]' 0
2 'Cap[1,2]' 2
3 'Cap[1,3]' 4
4 'Cap[1,4]' 0
5 'Cap[1,5]' 4
6 'Cap[1,6]' 0
7 'Cap[2,1]' 0
8 'Cap[2,2]' 4
9 'Cap[2,3]' 6
10 'Cap[2,4]' 1
11 'Cap[2,5]' 4
12 'Cap[2,6]' 4
13 'Cap[3,1]' 10
14 'Cap[3,2]' 8
15 'Cap[3,3]' 6
16 'Cap[3,4]' 2
17 'Cap[3,5]' 3
18 'Cap[3,6]' 7
19 'Cap[4,1]' 3
20 'Cap[4,2]' 4
21 'Cap[4,3]' 8
22 'Cap[4,4]' 3
23 'Cap[4,5]' 9
24 'Cap[4,6]' 8
25 'Cap[5,1]' 2
26 'Cap[5,2]' 8
27 'Cap[5,3]' 6
28 'Cap[5,4]' 8
29 'Cap[5,5]' 8
30 'Cap[5,6]' 4
31 'Cap[6,1]' 3
32 'Cap[6,2]' 3
33 'Cap[6,3]' 8
34 'Cap[6,4]' 4
35 'Cap[6,5]' 4
36 'Cap[6,6]' 4
37 'Cap[7,1]' 6
38 'Cap[7,2]' 7
39 'Cap[7,3]' 6
40 'Cap[7,4]' 8
41 'Cap[7,5]' 4
42 'Cap[7,6]' 4
43 'Cap[9,1]' 4
44 'Cap[9,2]' 8
45 'Cap[9,3]' 4
46 'Cap[9,4]' 4
47 'Cap[9,5]' 2
48 'Cap[9,6]' 3
49 'Cap[10,1]' 8
50 'Cap[10,2]' 4
51 'Cap[10,3]' 3
52 'Cap[10,4]' 8
53 'Cap[10,5]' 0
54 'Cap[10,6]' 6
55 'Cap[11,1]' 8
56 'Cap[11,2]' 4
57 'Cap[11,3]' 4
58 'Cap[11,4]' 5
59 'Cap[11,5]' 1
60 'Cap[11,6]' 8
61 'Cap[12,1]' 6
62 'Cap[12,2]' 1
63 'Cap[12,3]' 1
64 'Cap[12,4]' 5
65 'Cap[12,5]' 7
66 'Cap[12,6]' 3
67 'Cap[16,1]' 6
68 'Cap[16,2]' 2
69 'Cap[16,3]' 1
70 'Cap[16,4]' 6
71 'Cap[16,5]' 6
72 'Cap[16,6]' 3
73 'Cap[20,1]' 2
74 'Cap[20,2]' 3
75 'Cap[20,3]' 1
76 'Cap[20,4]' 4
77 'Cap[20,5]' 6
78 'Cap[20,6]' 4
;
: _logconname _logcon.val :=
1 'VisitHosts[8,8,1]' 1
2 'VisitHosts[8,8,2]' 1
3 'VisitHosts[8,8,3]' 1
4 'VisitHosts[8,8,4]' 1
5 'VisitHosts[8,8,5]' 1
6 'VisitHosts[8,8,6]' 1
7 'VisitHosts[8,13,1]' 1
8 'VisitHosts[8,13,2]' 1
9 'VisitHosts[8,13,3]' 1
10 'VisitHosts[8,13,4]' 1
11 'VisitHosts[8,13,5]' 1
12 'VisitHosts[8,13,6]' 1
13 'VisitHosts[8,14,1]' 1
14 'VisitHosts[8,14,2]' 1
15 'VisitHosts[8,14,3]' 1
16 'VisitHosts[8,14,4]' 1
17 'VisitHosts[8,14,5]' 1
18 'VisitHosts[8,14,6]' 1
19 'VisitHosts[8,15,1]' 1
20 'VisitHosts[8,15,2]' 1
21 'VisitHosts[8,15,3]' 1
22 'VisitHosts[8,15,4]' 1
23 'VisitHosts[8,15,5]' 1
24 'VisitHosts[8,15,6]' 1
25 'VisitHosts[8,17,1]' 1
26 'VisitHosts[8,17,2]' 1
27 'VisitHosts[8,17,3]' 1
28 'VisitHosts[8,17,4]' 1
29 'VisitHosts[8,17,5]' 1
30 'VisitHosts[8,17,6]' 1
31 'VisitHosts[8,18,1]' 1
32 'VisitHosts[8,18,2]' 1
33 'VisitHosts[8,18,3]' 1
34 'VisitHosts[8,18,4]' 1
35 'VisitHosts[8,18,5]' 1
36 'VisitHosts[8,18,6]' 1
37 'VisitHosts[8,19,1]' 1
38 'VisitHosts[8,19,2]' 1
39 'VisitHosts[8,19,3]' 1
40 'VisitHosts[8,19,4]' 1
41 'VisitHosts[8,19,5]' 1
42 'VisitHosts[8,19,6]' 1
43 'VisitHosts[8,21,1]' 1
44 'VisitHosts[8,21,2]' 1
45 'VisitHosts[8,21,3]' 1
46 'VisitHosts[8,21,4]' 1
47 'VisitHosts[8,21,5]' 1
48 'VisitHosts[8,21,6]' 1
49 'VisitHosts[8,22,1]' 1
50 'VisitHosts[8,22,2]' 1
51 'VisitHosts[8,22,3]' 1
52 'VisitHosts[8,22,4]' 1
53 'VisitHosts[8,22,5]' 1
54 'VisitHosts[8,22,6]' 1
55 'VisitHosts[8,23,1]' 1
56 'VisitHosts[8,23,2]' 1
57 'VisitHosts[8,23,3]' 1
58 'VisitHosts[8,23,4]' 1
59 'VisitHosts[8,23,5]' 1
60 'VisitHosts[8,23,6]' 1
61 'VisitHosts[8,24,1]' 1
62 'VisitHosts[8,24,2]' 1
63 'VisitHosts[8,24,3]' 1
64 'VisitHosts[8,24,4]' 1
65 'VisitHosts[8,24,5]' 1
66 'VisitHosts[8,24,6]' 1
67 'VisitHosts[8,25,1]' 1
68 'VisitHosts[8,25,2]' 1
69 'VisitHosts[8,25,3]' 1
70 'VisitHosts[8,25,4]' 1
71 'VisitHosts[8,25,5]' 1
72 'VisitHosts[8,25,6]' 1
73 'VisitHosts[8,26,1]' 1
74 'VisitHosts[8,26,2]' 1
75 'VisitHosts[8,26,3]' 1
76 'VisitHosts[8,26,4]' 1
77 'VisitHosts[8,26,5]' 1
78 'VisitHosts[8,26,6]' 1
79 'VisitHosts[13,8,1]' 1
80 'VisitHosts[13,8,2]' 1
81 'VisitHosts[13,8,3]' 1
82 'VisitHosts[13,8,4]' 1
83 'VisitHosts[13,8,5]' 1
84 'VisitHosts[13,8,6]' 1
85 'VisitHosts[13,13,1]' 1
86 'VisitHosts[13,13,2]' 1
87 'VisitHosts[13,13,3]' 1
88 'VisitHosts[13,13,4]' 1
89 'VisitHosts[13,13,5]' 1
90 'VisitHosts[13,13,6]' 1
91 'VisitHosts[13,14,1]' 1
92 'VisitHosts[13,14,2]' 1
93 'VisitHosts[13,14,3]' 1
94 'VisitHosts[13,14,4]' 1
95 'VisitHosts[13,14,5]' 1
96 'VisitHosts[13,14,6]' 1
97 'VisitHosts[13,15,1]' 1
98 'VisitHosts[13,15,2]' 1
99 'VisitHosts[13,15,3]' 1
100 'VisitHosts[13,15,4]' 1
101 'VisitHosts[13,15,5]' 1
102 'VisitHosts[13,15,6]' 1
103 'VisitHosts[13,17,1]' 1
104 'VisitHosts[13,17,2]' 1
105 'VisitHosts[13,17,3]' 1
106 'VisitHosts[13,17,4]' 1
107 'VisitHosts[13,17,5]' 1
108 'VisitHosts[13,17,6]' 1
109 'VisitHosts[13,18,1]' 1
110 'VisitHosts[13,18,2]' 1
111 'VisitHosts[13,18,3]' 1
112 'VisitHosts[13,18,4]' 1
113 'VisitHosts[13,18,5]' 1
114 'VisitHosts[13,18,6]' 1
115 'VisitHosts[13,19,1]' 1
116 'VisitHosts[13,19,2]' 1
117 'VisitHosts[13,19,3]' 1
118 'VisitHosts[13,19,4]' 1
119 'VisitHosts[13,19,5]' 1
120 'VisitHosts[13,19,6]' 1
121 'VisitHosts[13,21,1]' 1
122 'VisitHosts[13,21,2]' 1
123 'VisitHosts[13,21,3]' 1
124 'VisitHosts[13,21,4]' 1
125 'VisitHosts[13,21,5]' 1
126 'VisitHosts[13,21,6]' 1
127 'VisitHosts[13,22,1]' 1
128 'VisitHosts[13,22,2]' 1
129 'VisitHosts[13,22,3]' 1
130 'VisitHosts[13,22,4]' 1
131 'VisitHosts[13,22,5]' 1
132 'VisitHosts[13,22,6]' 1
133 'VisitHosts[13,23,1]' 1
134 'VisitHosts[13,23,2]' 1
135 'VisitHosts[13,23,3]' 1
136 'VisitHosts[13,23,4]' 1
137 'VisitHosts[13,23,5]' 1
138 'VisitHosts[13,23,6]' 1
139 'VisitHosts[13,24,1]' 1
140 'VisitHosts[13,24,2]' 1
141 'VisitHosts[13,24,3]' 1
142 'VisitHosts[13,24,4]' 1
143 'VisitHosts[13,24,5]' 1
144 'VisitHosts[13,24,6]' 1
145 'VisitHosts[13,25,1]' 1
146 'VisitHosts[13,25,2]' 1
147 'VisitHosts[13,25,3]' 1
148 'VisitHosts[13,25,4]' 1
149 'VisitHosts[13,25,5]' 1
150 'VisitHosts[13,25,6]' 1
151 'VisitHosts[13,26,1]' 1
152 'VisitHosts[13,26,2]' 1
153 'VisitHosts[13,26,3]' 1
154 'VisitHosts[13,26,4]' 1
155 'VisitHosts[13,26,5]' 1
156 'VisitHosts[13,26,6]' 1
157 'VisitHosts[14,8,1]' 1
158 'VisitHosts[14,8,2]' 1
159 'VisitHosts[14,8,3]' 1
160 'VisitHosts[14,8,4]' 1
161 'VisitHosts[14,8,5]' 1
162 'VisitHosts[14,8,6]' 1
163 'VisitHosts[14,13,1]' 1
164 'VisitHosts[14,13,2]' 1
165 'VisitHosts[14,13,3]' 1
166 'VisitHosts[14,13,4]' 1
167 'VisitHosts[14,13,5]' 1
168 'VisitHosts[14,13,6]' 1
169 'VisitHosts[14,14,1]' 1
170 'VisitHosts[14,14,2]' 1
171 'VisitHosts[14,14,3]' 1
172 'VisitHosts[14,14,4]' 1
173 'VisitHosts[14,14,5]' 1
174 'VisitHosts[14,14,6]' 1
175 'VisitHosts[14,15,1]' 1
176 'VisitHosts[14,15,2]' 1
177 'VisitHosts[14,15,3]' 1
178 'VisitHosts[14,15,4]' 1
179 'VisitHosts[14,15,5]' 1
180 'VisitHosts[14,15,6]' 1
181 'VisitHosts[14,17,1]' 1
182 'VisitHosts[14,17,2]' 1
183 'VisitHosts[14,17,3]' 1
184 'VisitHosts[14,17,4]' 1
185 'VisitHosts[14,17,5]' 1
186 'VisitHosts[14,17,6]' 1
187 'VisitHosts[14,18,1]' 1
188 'VisitHosts[14,18,2]' 1
189 'VisitHosts[14,18,3]' 1
190 'VisitHosts[14,18,4]' 1
191 'VisitHosts[14,18,5]' 1
192 'VisitHosts[14,18,6]' 1
193 'VisitHosts[14,19,1]' 1
194 'VisitHosts[14,19,2]' 1
195 'VisitHosts[14,19,3]' 1
196 'VisitHosts[14,19,4]' 1
197 'VisitHosts[14,19,5]' 1
198 'VisitHosts[14,19,6]' 1
199 'VisitHosts[14,21,1]' 1
200 'VisitHosts[14,21,2]' 1
201 'VisitHosts[14,21,3]' 1
202 'VisitHosts[14,21,4]' 1
203 'VisitHosts[14,21,5]' 1
204 'VisitHosts[14,21,6]' 1
205 'VisitHosts[14,22,1]' 1
206 'VisitHosts[14,22,2]' 1
207 'VisitHosts[14,22,3]' 1
208 'VisitHosts[14,22,4]' 1
209 'VisitHosts[14,22,5]' 1
210 'VisitHosts[14,22,6]' 1
211 'VisitHosts[14,23,1]' 1
212 'VisitHosts[14,23,2]' 1
213 'VisitHosts[14,23,3]' 1
214 'VisitHosts[14,23,4]' 1
215 'VisitHosts[14,23,5]' 1
216 'VisitHosts[14,23,6]' 1
217 'VisitHosts[14,24,1]' 1
218 'VisitHosts[14,24,2]' 1
219 'VisitHosts[14,24,3]' 1
220 'VisitHosts[14,24,4]' 1
221 'VisitHosts[14,24,5]' 1
222 'VisitHosts[14,24,6]' 1
223 'VisitHosts[14,25,1]' 1
224 'VisitHosts[14,25,2]' 1
225 'VisitHosts[14,25,3]' 1
226 'VisitHosts[14,25,4]' 1
227 'VisitHosts[14,25,5]' 1
228 'VisitHosts[14,25,6]' 1
229 'VisitHosts[14,26,1]' 1
230 'VisitHosts[14,26,2]' 1
231 'VisitHosts[14,26,3]' 1
232 'VisitHosts[14,26,4]' 1
233 'VisitHosts[14,26,5]' 1
234 'VisitHosts[14,26,6]' 1
235 'VisitHosts[15,8,1]' 1
236 'VisitHosts[15,8,2]' 1
237 'VisitHosts[15,8,3]' 1
238 'VisitHosts[15,8,4]' 1
239 'VisitHosts[15,8,5]' 1
240 'VisitHosts[15,8,6]' 1
241 'VisitHosts[15,13,1]' 1
242 'VisitHosts[15,13,2]' 1
243 'VisitHosts[15,13,3]' 1
244 'VisitHosts[15,13,4]' 1
245 'VisitHosts[15,13,5]' 1
246 'VisitHosts[15,13,6]' 1
247 'VisitHosts[15,14,1]' 1
248 'VisitHosts[15,14,2]' 1
249 'VisitHosts[15,14,3]' 1
250 'VisitHosts[15,14,4]' 1
251 'VisitHosts[15,14,5]' 1
252 'VisitHosts[15,14,6]' 1
253 'VisitHosts[15,15,1]' 1
254 'VisitHosts[15,15,2]' 1
255 'VisitHosts[15,15,3]' 1
256 'VisitHosts[15,15,4]' 1
257 'VisitHosts[15,15,5]' 1
258 'VisitHosts[15,15,6]' 1
259 'VisitHosts[15,17,1]' 1
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264 'VisitHosts[15,17,6]' 1
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279 'VisitHosts[15,21,3]' 1
280 'VisitHosts[15,21,4]' 1
281 'VisitHosts[15,21,5]' 1
282 'VisitHosts[15,21,6]' 1
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287 'VisitHosts[15,22,5]' 1
288 'VisitHosts[15,22,6]' 1
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290 'VisitHosts[15,23,2]' 1
291 'VisitHosts[15,23,3]' 1
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293 'VisitHosts[15,23,5]' 1
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299 'VisitHosts[15,24,5]' 1
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305 'VisitHosts[15,25,5]' 1
306 'VisitHosts[15,25,6]' 1
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311 'VisitHosts[15,26,5]' 1
312 'VisitHosts[15,26,6]' 1
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318 'VisitHosts[17,8,6]' 1
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320 'VisitHosts[17,13,2]' 1
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328 'VisitHosts[17,14,4]' 1
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330 'VisitHosts[17,14,6]' 1
331 'VisitHosts[17,15,1]' 1
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333 'VisitHosts[17,15,3]' 1
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335 'VisitHosts[17,15,5]' 1
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340 'VisitHosts[17,17,4]' 1
341 'VisitHosts[17,17,5]' 1
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350 'VisitHosts[17,19,2]' 1
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352 'VisitHosts[17,19,4]' 1
353 'VisitHosts[17,19,5]' 1
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360 'VisitHosts[17,21,6]' 1
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362 'VisitHosts[17,22,2]' 1
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364 'VisitHosts[17,22,4]' 1
365 'VisitHosts[17,22,5]' 1
366 'VisitHosts[17,22,6]' 1
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370 'VisitHosts[17,23,4]' 1
371 'VisitHosts[17,23,5]' 1
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373 'VisitHosts[17,24,1]' 1
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375 'VisitHosts[17,24,3]' 1
376 'VisitHosts[17,24,4]' 1
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383 'VisitHosts[17,25,5]' 1
384 'VisitHosts[17,25,6]' 1
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386 'VisitHosts[17,26,2]' 1
387 'VisitHosts[17,26,3]' 1
388 'VisitHosts[17,26,4]' 1
389 'VisitHosts[17,26,5]' 1
390 'VisitHosts[17,26,6]' 1
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393 'VisitHosts[18,8,3]' 1
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395 'VisitHosts[18,8,5]' 1
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399 'VisitHosts[18,13,3]' 1
400 'VisitHosts[18,13,4]' 1
401 'VisitHosts[18,13,5]' 1
402 'VisitHosts[18,13,6]' 1
403 'VisitHosts[18,14,1]' 1
404 'VisitHosts[18,14,2]' 1
405 'VisitHosts[18,14,3]' 1
406 'VisitHosts[18,14,4]' 1
407 'VisitHosts[18,14,5]' 1
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409 'VisitHosts[18,15,1]' 1
410 'VisitHosts[18,15,2]' 1
411 'VisitHosts[18,15,3]' 1
412 'VisitHosts[18,15,4]' 1
413 'VisitHosts[18,15,5]' 1
414 'VisitHosts[18,15,6]' 1
415 'VisitHosts[18,17,1]' 1
416 'VisitHosts[18,17,2]' 1
417 'VisitHosts[18,17,3]' 1
418 'VisitHosts[18,17,4]' 1
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420 'VisitHosts[18,17,6]' 1
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423 'VisitHosts[18,18,3]' 1
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425 'VisitHosts[18,18,5]' 1
426 'VisitHosts[18,18,6]' 1
427 'VisitHosts[18,19,1]' 1
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429 'VisitHosts[18,19,3]' 1
430 'VisitHosts[18,19,4]' 1
431 'VisitHosts[18,19,5]' 1
432 'VisitHosts[18,19,6]' 1
433 'VisitHosts[18,21,1]' 1
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436 'VisitHosts[18,21,4]' 1
437 'VisitHosts[18,21,5]' 1
438 'VisitHosts[18,21,6]' 1
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440 'VisitHosts[18,22,2]' 1
441 'VisitHosts[18,22,3]' 1
442 'VisitHosts[18,22,4]' 1
443 'VisitHosts[18,22,5]' 1
444 'VisitHosts[18,22,6]' 1
445 'VisitHosts[18,23,1]' 1
446 'VisitHosts[18,23,2]' 1
447 'VisitHosts[18,23,3]' 1
448 'VisitHosts[18,23,4]' 1
449 'VisitHosts[18,23,5]' 1
450 'VisitHosts[18,23,6]' 1
451 'VisitHosts[18,24,1]' 1
452 'VisitHosts[18,24,2]' 1
453 'VisitHosts[18,24,3]' 1
454 'VisitHosts[18,24,4]' 1
455 'VisitHosts[18,24,5]' 1
456 'VisitHosts[18,24,6]' 1
457 'VisitHosts[18,25,1]' 1
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459 'VisitHosts[18,25,3]' 1
460 'VisitHosts[18,25,4]' 1
461 'VisitHosts[18,25,5]' 1
462 'VisitHosts[18,25,6]' 1
463 'VisitHosts[18,26,1]' 1
464 'VisitHosts[18,26,2]' 1
465 'VisitHosts[18,26,3]' 1
466 'VisitHosts[18,26,4]' 1
467 'VisitHosts[18,26,5]' 1
468 'VisitHosts[18,26,6]' 1
469 'VisitHosts[19,8,1]' 1
470 'VisitHosts[19,8,2]' 1
471 'VisitHosts[19,8,3]' 1
472 'VisitHosts[19,8,4]' 1
473 'VisitHosts[19,8,5]' 1
474 'VisitHosts[19,8,6]' 1
475 'VisitHosts[19,13,1]' 1
476 'VisitHosts[19,13,2]' 1
477 'VisitHosts[19,13,3]' 1
478 'VisitHosts[19,13,4]' 1
479 'VisitHosts[19,13,5]' 1
480 'VisitHosts[19,13,6]' 1
481 'VisitHosts[19,14,1]' 1
482 'VisitHosts[19,14,2]' 1
483 'VisitHosts[19,14,3]' 1
484 'VisitHosts[19,14,4]' 1
485 'VisitHosts[19,14,5]' 1
486 'VisitHosts[19,14,6]' 1
487 'VisitHosts[19,15,1]' 1
488 'VisitHosts[19,15,2]' 1
489 'VisitHosts[19,15,3]' 1
490 'VisitHosts[19,15,4]' 1
491 'VisitHosts[19,15,5]' 1
492 'VisitHosts[19,15,6]' 1
493 'VisitHosts[19,17,1]' 1
494 'VisitHosts[19,17,2]' 1
495 'VisitHosts[19,17,3]' 1
496 'VisitHosts[19,17,4]' 1
497 'VisitHosts[19,17,5]' 1
498 'VisitHosts[19,17,6]' 1
499 'VisitHosts[19,18,1]' 1
500 'VisitHosts[19,18,2]' 1
501 'VisitHosts[19,18,3]' 1
502 'VisitHosts[19,18,4]' 1
503 'VisitHosts[19,18,5]' 1
504 'VisitHosts[19,18,6]' 1
505 'VisitHosts[19,19,1]' 1
506 'VisitHosts[19,19,2]' 1
507 'VisitHosts[19,19,3]' 1
508 'VisitHosts[19,19,4]' 1
509 'VisitHosts[19,19,5]' 1
510 'VisitHosts[19,19,6]' 1
511 'VisitHosts[19,21,1]' 1
512 'VisitHosts[19,21,2]' 1
513 'VisitHosts[19,21,3]' 1
514 'VisitHosts[19,21,4]' 1
515 'VisitHosts[19,21,5]' 1
516 'VisitHosts[19,21,6]' 1
517 'VisitHosts[19,22,1]' 1
518 'VisitHosts[19,22,2]' 1
519 'VisitHosts[19,22,3]' 1
520 'VisitHosts[19,22,4]' 1
521 'VisitHosts[19,22,5]' 1
522 'VisitHosts[19,22,6]' 1
523 'VisitHosts[19,23,1]' 1
524 'VisitHosts[19,23,2]' 1
525 'VisitHosts[19,23,3]' 1
526 'VisitHosts[19,23,4]' 1
527 'VisitHosts[19,23,5]' 1
528 'VisitHosts[19,23,6]' 1
529 'VisitHosts[19,24,1]' 1
530 'VisitHosts[19,24,2]' 1
531 'VisitHosts[19,24,3]' 1
532 'VisitHosts[19,24,4]' 1
533 'VisitHosts[19,24,5]' 1
534 'VisitHosts[19,24,6]' 1
535 'VisitHosts[19,25,1]' 1
536 'VisitHosts[19,25,2]' 1
537 'VisitHosts[19,25,3]' 1
538 'VisitHosts[19,25,4]' 1
539 'VisitHosts[19,25,5]' 1
540 'VisitHosts[19,25,6]' 1
541 'VisitHosts[19,26,1]' 1
542 'VisitHosts[19,26,2]' 1
543 'VisitHosts[19,26,3]' 1
544 'VisitHosts[19,26,4]' 1
545 'VisitHosts[19,26,5]' 1
546 'VisitHosts[19,26,6]' 1
547 'VisitHosts[21,8,1]' 1
548 'VisitHosts[21,8,2]' 1
549 'VisitHosts[21,8,3]' 1
550 'VisitHosts[21,8,4]' 1
551 'VisitHosts[21,8,5]' 1
552 'VisitHosts[21,8,6]' 1
553 'VisitHosts[21,13,1]' 1
554 'VisitHosts[21,13,2]' 1
555 'VisitHosts[21,13,3]' 1
556 'VisitHosts[21,13,4]' 1
557 'VisitHosts[21,13,5]' 1
558 'VisitHosts[21,13,6]' 1
559 'VisitHosts[21,14,1]' 1
560 'VisitHosts[21,14,2]' 1
561 'VisitHosts[21,14,3]' 1
562 'VisitHosts[21,14,4]' 1
563 'VisitHosts[21,14,5]' 1
564 'VisitHosts[21,14,6]' 1
565 'VisitHosts[21,15,1]' 1
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567 'VisitHosts[21,15,3]' 1
568 'VisitHosts[21,15,4]' 1
569 'VisitHosts[21,15,5]' 1
570 'VisitHosts[21,15,6]' 1
571 'VisitHosts[21,17,1]' 1
572 'VisitHosts[21,17,2]' 1
573 'VisitHosts[21,17,3]' 1
574 'VisitHosts[21,17,4]' 1
575 'VisitHosts[21,17,5]' 1
576 'VisitHosts[21,17,6]' 1
577 'VisitHosts[21,18,1]' 1
578 'VisitHosts[21,18,2]' 1
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580 'VisitHosts[21,18,4]' 1
581 'VisitHosts[21,18,5]' 1
582 'VisitHosts[21,18,6]' 1
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585 'VisitHosts[21,19,3]' 1
586 'VisitHosts[21,19,4]' 1
587 'VisitHosts[21,19,5]' 1
588 'VisitHosts[21,19,6]' 1
589 'VisitHosts[21,21,1]' 1
590 'VisitHosts[21,21,2]' 1
591 'VisitHosts[21,21,3]' 1
592 'VisitHosts[21,21,4]' 1
593 'VisitHosts[21,21,5]' 1
594 'VisitHosts[21,21,6]' 1
595 'VisitHosts[21,22,1]' 1
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597 'VisitHosts[21,22,3]' 1
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599 'VisitHosts[21,22,5]' 1
600 'VisitHosts[21,22,6]' 1
601 'VisitHosts[21,23,1]' 1
602 'VisitHosts[21,23,2]' 1
603 'VisitHosts[21,23,3]' 1
604 'VisitHosts[21,23,4]' 1
605 'VisitHosts[21,23,5]' 1
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607 'VisitHosts[21,24,1]' 1
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610 'VisitHosts[21,24,4]' 1
611 'VisitHosts[21,24,5]' 1
612 'VisitHosts[21,24,6]' 1
613 'VisitHosts[21,25,1]' 1
614 'VisitHosts[21,25,2]' 1
615 'VisitHosts[21,25,3]' 1
616 'VisitHosts[21,25,4]' 1
617 'VisitHosts[21,25,5]' 1
618 'VisitHosts[21,25,6]' 1
619 'VisitHosts[21,26,1]' 1
620 'VisitHosts[21,26,2]' 1
621 'VisitHosts[21,26,3]' 1
622 'VisitHosts[21,26,4]' 1
623 'VisitHosts[21,26,5]' 1
624 'VisitHosts[21,26,6]' 1
625 'VisitHosts[22,8,1]' 1
626 'VisitHosts[22,8,2]' 1
627 'VisitHosts[22,8,3]' 1
628 'VisitHosts[22,8,4]' 1
629 'VisitHosts[22,8,5]' 1
630 'VisitHosts[22,8,6]' 1
631 'VisitHosts[22,13,1]' 1
632 'VisitHosts[22,13,2]' 1
633 'VisitHosts[22,13,3]' 1
634 'VisitHosts[22,13,4]' 1
635 'VisitHosts[22,13,5]' 1
636 'VisitHosts[22,13,6]' 1
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638 'VisitHosts[22,14,2]' 1
639 'VisitHosts[22,14,3]' 1
640 'VisitHosts[22,14,4]' 1
641 'VisitHosts[22,14,5]' 1
642 'VisitHosts[22,14,6]' 1
643 'VisitHosts[22,15,1]' 1
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645 'VisitHosts[22,15,3]' 1
646 'VisitHosts[22,15,4]' 1
647 'VisitHosts[22,15,5]' 1
648 'VisitHosts[22,15,6]' 1
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650 'VisitHosts[22,17,2]' 1
651 'VisitHosts[22,17,3]' 1
652 'VisitHosts[22,17,4]' 1
653 'VisitHosts[22,17,5]' 1
654 'VisitHosts[22,17,6]' 1
655 'VisitHosts[22,18,1]' 1
656 'VisitHosts[22,18,2]' 1
657 'VisitHosts[22,18,3]' 1
658 'VisitHosts[22,18,4]' 1
659 'VisitHosts[22,18,5]' 1
660 'VisitHosts[22,18,6]' 1
661 'VisitHosts[22,19,1]' 1
662 'VisitHosts[22,19,2]' 1
663 'VisitHosts[22,19,3]' 1
664 'VisitHosts[22,19,4]' 1
665 'VisitHosts[22,19,5]' 1
666 'VisitHosts[22,19,6]' 1
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668 'VisitHosts[22,21,2]' 1
669 'VisitHosts[22,21,3]' 1
670 'VisitHosts[22,21,4]' 1
671 'VisitHosts[22,21,5]' 1
672 'VisitHosts[22,21,6]' 1
673 'VisitHosts[22,22,1]' 1
674 'VisitHosts[22,22,2]' 1
675 'VisitHosts[22,22,3]' 1
676 'VisitHosts[22,22,4]' 1
677 'VisitHosts[22,22,5]' 1
678 'VisitHosts[22,22,6]' 1
679 'VisitHosts[22,23,1]' 1
680 'VisitHosts[22,23,2]' 1
681 'VisitHosts[22,23,3]' 1
682 'VisitHosts[22,23,4]' 1
683 'VisitHosts[22,23,5]' 1
684 'VisitHosts[22,23,6]' 1
685 'VisitHosts[22,24,1]' 1
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687 'VisitHosts[22,24,3]' 1
688 'VisitHosts[22,24,4]' 1
689 'VisitHosts[22,24,5]' 1
690 'VisitHosts[22,24,6]' 1
691 'VisitHosts[22,25,1]' 1
692 'VisitHosts[22,25,2]' 1
693 'VisitHosts[22,25,3]' 1
694 'VisitHosts[22,25,4]' 1
695 'VisitHosts[22,25,5]' 1
696 'VisitHosts[22,25,6]' 1
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700 'VisitHosts[22,26,4]' 1
701 'VisitHosts[22,26,5]' 1
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710 'VisitHosts[23,13,2]' 1
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713 'VisitHosts[23,13,5]' 1
714 'VisitHosts[23,13,6]' 1
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717 'VisitHosts[23,14,3]' 1
718 'VisitHosts[23,14,4]' 1
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720 'VisitHosts[23,14,6]' 1
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722 'VisitHosts[23,15,2]' 1
723 'VisitHosts[23,15,3]' 1
724 'VisitHosts[23,15,4]' 1
725 'VisitHosts[23,15,5]' 1
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728 'VisitHosts[23,17,2]' 1
729 'VisitHosts[23,17,3]' 1
730 'VisitHosts[23,17,4]' 1
731 'VisitHosts[23,17,5]' 1
732 'VisitHosts[23,17,6]' 1
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735 'VisitHosts[23,18,3]' 1
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737 'VisitHosts[23,18,5]' 1
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740 'VisitHosts[23,19,2]' 1
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744 'VisitHosts[23,19,6]' 1
745 'VisitHosts[23,21,1]' 1
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750 'VisitHosts[23,21,6]' 1
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765 'VisitHosts[23,24,3]' 1
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780 'VisitHosts[23,26,6]' 1
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790 'VisitHosts[24,13,4]' 1
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792 'VisitHosts[24,13,6]' 1
793 'VisitHosts[24,14,1]' 1
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796 'VisitHosts[24,14,4]' 1
797 'VisitHosts[24,14,5]' 1
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799 'VisitHosts[24,15,1]' 1
800 'VisitHosts[24,15,2]' 1
801 'VisitHosts[24,15,3]' 1
802 'VisitHosts[24,15,4]' 1
803 'VisitHosts[24,15,5]' 1
804 'VisitHosts[24,15,6]' 1
805 'VisitHosts[24,17,1]' 1
806 'VisitHosts[24,17,2]' 1
807 'VisitHosts[24,17,3]' 1
808 'VisitHosts[24,17,4]' 1
809 'VisitHosts[24,17,5]' 1
810 'VisitHosts[24,17,6]' 1
811 'VisitHosts[24,18,1]' 1
812 'VisitHosts[24,18,2]' 1
813 'VisitHosts[24,18,3]' 1
814 'VisitHosts[24,18,4]' 1
815 'VisitHosts[24,18,5]' 1
816 'VisitHosts[24,18,6]' 1
817 'VisitHosts[24,19,1]' 1
818 'VisitHosts[24,19,2]' 1
819 'VisitHosts[24,19,3]' 1
820 'VisitHosts[24,19,4]' 1
821 'VisitHosts[24,19,5]' 1
822 'VisitHosts[24,19,6]' 1
823 'VisitHosts[24,21,1]' 1
824 'VisitHosts[24,21,2]' 1
825 'VisitHosts[24,21,3]' 1
826 'VisitHosts[24,21,4]' 1
827 'VisitHosts[24,21,5]' 1
828 'VisitHosts[24,21,6]' 1
829 'VisitHosts[24,22,1]' 1
830 'VisitHosts[24,22,2]' 1
831 'VisitHosts[24,22,3]' 1
832 'VisitHosts[24,22,4]' 1
833 'VisitHosts[24,22,5]' 1
834 'VisitHosts[24,22,6]' 1
835 'VisitHosts[24,23,1]' 1
836 'VisitHosts[24,23,2]' 1
837 'VisitHosts[24,23,3]' 1
838 'VisitHosts[24,23,4]' 1
839 'VisitHosts[24,23,5]' 1
840 'VisitHosts[24,23,6]' 1
841 'VisitHosts[24,24,1]' 1
842 'VisitHosts[24,24,2]' 1
843 'VisitHosts[24,24,3]' 1
844 'VisitHosts[24,24,4]' 1
845 'VisitHosts[24,24,5]' 1
846 'VisitHosts[24,24,6]' 1
847 'VisitHosts[24,25,1]' 1
848 'VisitHosts[24,25,2]' 1
849 'VisitHosts[24,25,3]' 1
850 'VisitHosts[24,25,4]' 1
851 'VisitHosts[24,25,5]' 1
852 'VisitHosts[24,25,6]' 1
853 'VisitHosts[24,26,1]' 1
854 'VisitHosts[24,26,2]' 1
855 'VisitHosts[24,26,3]' 1
856 'VisitHosts[24,26,4]' 1
857 'VisitHosts[24,26,5]' 1
858 'VisitHosts[24,26,6]' 1
859 'VisitHosts[25,8,1]' 1
860 'VisitHosts[25,8,2]' 1
861 'VisitHosts[25,8,3]' 1
862 'VisitHosts[25,8,4]' 1
863 'VisitHosts[25,8,5]' 1
864 'VisitHosts[25,8,6]' 1
865 'VisitHosts[25,13,1]' 1
866 'VisitHosts[25,13,2]' 1
867 'VisitHosts[25,13,3]' 1
868 'VisitHosts[25,13,4]' 1
869 'VisitHosts[25,13,5]' 1
870 'VisitHosts[25,13,6]' 1
871 'VisitHosts[25,14,1]' 1
872 'VisitHosts[25,14,2]' 1
873 'VisitHosts[25,14,3]' 1
874 'VisitHosts[25,14,4]' 1
875 'VisitHosts[25,14,5]' 1
876 'VisitHosts[25,14,6]' 1
877 'VisitHosts[25,15,1]' 1
878 'VisitHosts[25,15,2]' 1
879 'VisitHosts[25,15,3]' 1
880 'VisitHosts[25,15,4]' 1
881 'VisitHosts[25,15,5]' 1
882 'VisitHosts[25,15,6]' 1
883 'VisitHosts[25,17,1]' 1
884 'VisitHosts[25,17,2]' 1
885 'VisitHosts[25,17,3]' 1
886 'VisitHosts[25,17,4]' 1
887 'VisitHosts[25,17,5]' 1
888 'VisitHosts[25,17,6]' 1
889 'VisitHosts[25,18,1]' 1
890 'VisitHosts[25,18,2]' 1
891 'VisitHosts[25,18,3]' 1
892 'VisitHosts[25,18,4]' 1
893 'VisitHosts[25,18,5]' 1
894 'VisitHosts[25,18,6]' 1
895 'VisitHosts[25,19,1]' 1
896 'VisitHosts[25,19,2]' 1
897 'VisitHosts[25,19,3]' 1
898 'VisitHosts[25,19,4]' 1
899 'VisitHosts[25,19,5]' 1
900 'VisitHosts[25,19,6]' 1
901 'VisitHosts[25,21,1]' 1
902 'VisitHosts[25,21,2]' 1
903 'VisitHosts[25,21,3]' 1
904 'VisitHosts[25,21,4]' 1
905 'VisitHosts[25,21,5]' 1
906 'VisitHosts[25,21,6]' 1
907 'VisitHosts[25,22,1]' 1
908 'VisitHosts[25,22,2]' 1
909 'VisitHosts[25,22,3]' 1
910 'VisitHosts[25,22,4]' 1
911 'VisitHosts[25,22,5]' 1
912 'VisitHosts[25,22,6]' 1
913 'VisitHosts[25,23,1]' 1
914 'VisitHosts[25,23,2]' 1
915 'VisitHosts[25,23,3]' 1
916 'VisitHosts[25,23,4]' 1
917 'VisitHosts[25,23,5]' 1
918 'VisitHosts[25,23,6]' 1
919 'VisitHosts[25,24,1]' 1
920 'VisitHosts[25,24,2]' 1
921 'VisitHosts[25,24,3]' 1
922 'VisitHosts[25,24,4]' 1
923 'VisitHosts[25,24,5]' 1
924 'VisitHosts[25,24,6]' 1
925 'VisitHosts[25,25,1]' 1
926 'VisitHosts[25,25,2]' 1
927 'VisitHosts[25,25,3]' 1
928 'VisitHosts[25,25,4]' 1
929 'VisitHosts[25,25,5]' 1
930 'VisitHosts[25,25,6]' 1
931 'VisitHosts[25,26,1]' 1
932 'VisitHosts[25,26,2]' 1
933 'VisitHosts[25,26,3]' 1
934 'VisitHosts[25,26,4]' 1
935 'VisitHosts[25,26,5]' 1
936 'VisitHosts[25,26,6]' 1
937 'VisitHosts[26,8,1]' 1
938 'VisitHosts[26,8,2]' 1
939 'VisitHosts[26,8,3]' 1
940 'VisitHosts[26,8,4]' 1
941 'VisitHosts[26,8,5]' 1
942 'VisitHosts[26,8,6]' 1
943 'VisitHosts[26,13,1]' 1
944 'VisitHosts[26,13,2]' 1
945 'VisitHosts[26,13,3]' 1
946 'VisitHosts[26,13,4]' 1
947 'VisitHosts[26,13,5]' 1
948 'VisitHosts[26,13,6]' 1
949 'VisitHosts[26,14,1]' 1
950 'VisitHosts[26,14,2]' 1
951 'VisitHosts[26,14,3]' 1
952 'VisitHosts[26,14,4]' 1
953 'VisitHosts[26,14,5]' 1
954 'VisitHosts[26,14,6]' 1
955 'VisitHosts[26,15,1]' 1
956 'VisitHosts[26,15,2]' 1
957 'VisitHosts[26,15,3]' 1
958 'VisitHosts[26,15,4]' 1
959 'VisitHosts[26,15,5]' 1
960 'VisitHosts[26,15,6]' 1
961 'VisitHosts[26,17,1]' 1
962 'VisitHosts[26,17,2]' 1
963 'VisitHosts[26,17,3]' 1
964 'VisitHosts[26,17,4]' 1
965 'VisitHosts[26,17,5]' 1
966 'VisitHosts[26,17,6]' 1
967 'VisitHosts[26,18,1]' 1
968 'VisitHosts[26,18,2]' 1
969 'VisitHosts[26,18,3]' 1
970 'VisitHosts[26,18,4]' 1
971 'VisitHosts[26,18,5]' 1
972 'VisitHosts[26,18,6]' 1
973 'VisitHosts[26,19,1]' 1
974 'VisitHosts[26,19,2]' 1
975 'VisitHosts[26,19,3]' 1
976 'VisitHosts[26,19,4]' 1
977 'VisitHosts[26,19,5]' 1
978 'VisitHosts[26,19,6]' 1
979 'VisitHosts[26,21,1]' 1
980 'VisitHosts[26,21,2]' 1
981 'VisitHosts[26,21,3]' 1
982 'VisitHosts[26,21,4]' 1
983 'VisitHosts[26,21,5]' 1
984 'VisitHosts[26,21,6]' 1
985 'VisitHosts[26,22,1]' 1
986 'VisitHosts[26,22,2]' 1
987 'VisitHosts[26,22,3]' 1
988 'VisitHosts[26,22,4]' 1
989 'VisitHosts[26,22,5]' 1
990 'VisitHosts[26,22,6]' 1
991 'VisitHosts[26,23,1]' 1
992 'VisitHosts[26,23,2]' 1
993 'VisitHosts[26,23,3]' 1
994 'VisitHosts[26,23,4]' 1
995 'VisitHosts[26,23,5]' 1
996 'VisitHosts[26,23,6]' 1
997 'VisitHosts[26,24,1]' 1
998 'VisitHosts[26,24,2]' 1
999 'VisitHosts[26,24,3]' 1
1000 'VisitHosts[26,24,4]' 1
1001 'VisitHosts[26,24,5]' 1
1002 'VisitHosts[26,24,6]' 1
1003 'VisitHosts[26,25,1]' 1
1004 'VisitHosts[26,25,2]' 1
1005 'VisitHosts[26,25,3]' 1
1006 'VisitHosts[26,25,4]' 1
1007 'VisitHosts[26,25,5]' 1
1008 'VisitHosts[26,25,6]' 1
1009 'VisitHosts[26,26,1]' 1
1010 'VisitHosts[26,26,2]' 1
1011 'VisitHosts[26,26,3]' 1
1012 'VisitHosts[26,26,4]' 1
1013 'VisitHosts[26,26,5]' 1
1014 'VisitHosts[26,26,6]' 1
1015 'VisitOnce[8]' 1
1016 'VisitOnce[13]' 1
1017 'VisitOnce[14]' 1
1018 'VisitOnce[15]' 1
1019 'VisitOnce[17]' 1
1020 'VisitOnce[18]' 1
1021 'VisitOnce[19]' 1
1022 'VisitOnce[21]' 1
1023 'VisitOnce[22]' 1
1024 'VisitOnce[23]' 1
1025 'VisitOnce[24]' 1
1026 'VisitOnce[25]' 1
1027 'VisitOnce[26]' 1
1028 'MeetDefn[8,13]' 1
1029 'MeetDefn[8,14]' 1
1030 'MeetDefn[8,15]' 1
1031 'MeetDefn[8,17]' 1
1032 'MeetDefn[8,18]' 1
1033 'MeetDefn[8,19]' 1
1034 'MeetDefn[8,21]' 1
1035 'MeetDefn[8,22]' 1
1036 'MeetDefn[8,23]' 1
1037 'MeetDefn[8,24]' 1
1038 'MeetDefn[8,25]' 1
1039 'MeetDefn[8,26]' 1
1040 'MeetDefn[13,14]' 1
1041 'MeetDefn[13,15]' 1
1042 'MeetDefn[13,17]' 1
1043 'MeetDefn[13,18]' 1
1044 'MeetDefn[13,19]' 1
1045 'MeetDefn[13,21]' 1
1046 'MeetDefn[13,22]' 1
1047 'MeetDefn[13,23]' 1
1048 'MeetDefn[13,24]' 1
1049 'MeetDefn[13,25]' 1
1050 'MeetDefn[13,26]' 1
1051 'MeetDefn[14,15]' 1
1052 'MeetDefn[14,17]' 1
1053 'MeetDefn[14,18]' 1
1054 'MeetDefn[14,19]' 1
1055 'MeetDefn[14,21]' 1
1056 'MeetDefn[14,22]' 1
1057 'MeetDefn[14,23]' 1
1058 'MeetDefn[14,24]' 1
1059 'MeetDefn[14,25]' 1
1060 'MeetDefn[14,26]' 1
1061 'MeetDefn[15,17]' 1
1062 'MeetDefn[15,18]' 1
1063 'MeetDefn[15,19]' 1
1064 'MeetDefn[15,21]' 1
1065 'MeetDefn[15,22]' 1
1066 'MeetDefn[15,23]' 1
1067 'MeetDefn[15,24]' 1
1068 'MeetDefn[15,25]' 1
1069 'MeetDefn[15,26]' 1
1070 'MeetDefn[17,18]' 1
1071 'MeetDefn[17,19]' 1
1072 'MeetDefn[17,21]' 1
1073 'MeetDefn[17,22]' 1
1074 'MeetDefn[17,23]' 1
1075 'MeetDefn[17,24]' 1
1076 'MeetDefn[17,25]' 1
1077 'MeetDefn[17,26]' 1
1078 'MeetDefn[18,19]' 1
1079 'MeetDefn[18,21]' 1
1080 'MeetDefn[18,22]' 1
1081 'MeetDefn[18,23]' 1
1082 'MeetDefn[18,24]' 1
1083 'MeetDefn[18,25]' 1
1084 'MeetDefn[18,26]' 1
1085 'MeetDefn[19,21]' 1
1086 'MeetDefn[19,22]' 1
1087 'MeetDefn[19,23]' 1
1088 'MeetDefn[19,24]' 1
1089 'MeetDefn[19,25]' 1
1090 'MeetDefn[19,26]' 1
1091 'MeetDefn[21,22]' 1
1092 'MeetDefn[21,23]' 1
1093 'MeetDefn[21,24]' 1
1094 'MeetDefn[21,25]' 1
1095 'MeetDefn[21,26]' 1
1096 'MeetDefn[22,23]' 1
1097 'MeetDefn[22,24]' 1
1098 'MeetDefn[22,25]' 1
1099 'MeetDefn[22,26]' 1
1100 'MeetDefn[23,24]' 1
1101 'MeetDefn[23,25]' 1
1102 'MeetDefn[23,26]' 1
1103 'MeetDefn[24,25]' 1
1104 'MeetDefn[24,26]' 1
1105 'MeetDefn[25,26]' 1
;
Retrieve solution as a Pandas dataframe#
ampl.var["H"].to_pandas().unstack().transpose()
| index0 | 8 | 13 | 14 | 15 | 17 | 18 | 19 | 21 | 22 | 23 | 24 | 25 | 26 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| index1 | ||||||||||||||
| H.val | 1 | 12 | 5 | 4 | 6 | 7 | 2 | 2 | 20 | 4 | 1 | 9 | 5 | 6 |
| 2 | 7 | 16 | 12 | 20 | 2 | 3 | 10 | 11 | 6 | 4 | 12 | 4 | 1 | |
| 3 | 20 | 20 | 5 | 16 | 16 | 12 | 3 | 12 | 10 | 9 | 11 | 7 | 4 | |
| 4 | 11 | 3 | 9 | 4 | 12 | 20 | 1 | 3 | 2 | 6 | 4 | 9 | 11 | |
| 5 | 4 | 6 | 2 | 11 | 10 | 10 | 7 | 9 | 3 | 11 | 10 | 3 | 9 | |
| 6 | 16 | 1 | 10 | 3 | 4 | 16 | 12 | 7 | 9 | 5 | 6 | 20 | 2 |
Automatic tuning of solver parameters#
Let us apply tuner and compare runtimes before and after.
ampl.option["reset_initial_guesses"] = (
1 # Don't send the known solution as the initial guess.
)
# By default, AMPL send previous solution
# to facilitate iterative solving approaches
ampl.option["mp_options"] = (
"outlev=1 "
+ "tech:xprs_tunermode=1 "
+ "tech:xprs_tunermethod=1 "
+ "tech:xprs_tunerthreads=3 "
+ "tech:threads=3 "
+ "tech:xprs_tunermaxtime=180"
+ "tech:xprs_tunerhistory=0"
)
ampl.solve()
XPRESS 9.8.0 (46.01.01): tech:outlev = 1
tech:xprs_tunermode = 1
tech:tunermethod = 1
tech:tunerthreads = 3
tech:threads = 3
tech:tunetimelim = 180
tech:tunerhistory = 0
AMPL MP initial flat model has 78 variables (78 integer, 0 binary);
No objectives;
Constraints: 156 linear;
Algebraic expressions: 78 count; 1014 ifthen;
Logical expressions: 2028 conditional (in)equalitie(s); 13 alldiff;
AMPL MP final model has 4777 variables (2197 integer, 2574 binary);
No objectives;
Constraints: 1118 linear;
Logical expressions: 468 indge; 468 indle;
Tuner: tuning MIP problem UnknownProblem
Tuner: testing up to 3 control settings in parallel
baseline setting:
THREADS = 3
Tuner: starting adaptive phase 1: trying each control
RunID Stat Solution Bound Integral Gap RunTime TotTime
* 2 S .000000 .000000 .492490 0.00% 0.49 0 - BACKGROUNDMAXTHREADS=2
setting:
BACKGROUNDMAXTHREADS = 2
logfile: UnknownProblem-20260303.171725-task0002.log
1 S .000000 .000000 .495050 0.00% 0.50 0 - BACKGROUNDMAXTHREADS=0
* 0 S .000000 .000000 .499607 0.00% 0.50 0 -
setting: (baseline)
logfile: UnknownProblem-20260303.171725-task0000.log
* 4 S .000000 .000000 .343106 0.00% 0.34 0 - COVERCUTS=0
setting:
COVERCUTS = 0
logfile: UnknownProblem-20260303.171725-task0004.log
5 S .000000 .000000 .384752 0.00% 0.39 0 - COVERCUTS=2
3 S .000000 .000000 .492953 0.00% 0.49 0 - BRANCHDISJ=0
* 7 S .000000 .000000 .335950 0.00% 0.34 1 - CUTFACTOR=0.5
setting:
CUTFACTOR = 0.5
logfile: UnknownProblem-20260303.171725-task0007.log
6 S .000000 .000000 .485804 0.00% 0.49 1 - COVERCUTS=20
8 S .000000 .000000 .351268 0.00% 0.35 1 - CUTFACTOR=1
9 S .000000 .000000 .495987 0.00% 0.50 1 - CUTFACTOR=5
11 S .000000 .000000 .403744 0.00% 0.40 1 - GOMCUTS=0
10 S .000000 .000000 .492086 0.00% 0.49 1 - CUTFREQ=2
12 S .000000 .000000 .376915 0.00% 0.38 2 - GOMCUTS=2
13 S .000000 .000000 .381945 0.00% 0.38 2 - GOMCUTS=10
14 S .000000 .000000 .496316 0.00% 0.50 2 - HEURSEARCHEFFORT=0.5
* 16 S .000000 .000000 .311625 0.00% 0.31 2 - HEURSEARCHROOTCUTFREQ=2
setting:
HEURSEARCHROOTCUTFREQ = 2
logfile: UnknownProblem-20260303.171725-task0016.log
15 S .000000 .000000 .484945 0.00% 0.49 2 - HEURSEARCHEFFORT=2
17 S .000000 .000000 .348852 0.00% 0.35 2 - HEURSEARCHROOTCUTFREQ=5
18 S .000000 .000000 .450668 0.00% 0.45 2 - HEURSEARCHROOTSELECT=0
19 S .000000 .000000 .480451 0.00% 0.48 3 - HEURSEARCHROOTSELECT=3
RunID Stat Solution Bound Integral Gap RunTime TotTime
20 S .000000 .000000 .484860 0.00% 0.49 3 - HEURSEARCHROOTSELECT=5
21 S .000000 .000000 .483897 0.00% 0.48 3 - HEURSEARCHTREESELECT=0
22 S .000000 .000000 .484406 0.00% 0.49 3 - HEURSEARCHTREESELECT=3
23 S .000000 .000000 .478333 0.00% 0.48 3 - HEURSEARCHTREESELECT=5
* 25 S .000000 .000000 .272613 0.00% 0.27 3 - HEUREMPHASIS=1
setting:
HEUREMPHASIS = 1
logfile: UnknownProblem-20260303.171725-task0025.log
26 S .000000 .000000 .483761 0.00% 0.48 4 - MIPRESTART=0
24 S .000000 .000000 .770040 0.00% 0.77 4 - HEUREMPHASIS=0
27 S .000000 .000000 .426324 0.00% 0.43 4 - NODEPROBINGEFFORT=0
28 S .000000 .000000 .488787 0.00% 0.49 4 - NODEPROBINGEFFORT=0.5
29 S .000000 .000000 .481997 0.00% 0.48 4 - NODEPROBINGEFFORT=2
30 S .000000 .000000 .479393 0.00% 0.48 4 - PREPROBING=3
31 S .000000 .000000 .278678 0.00% 0.28 4 - PRESOLVE=0
32 S .000000 .000000 .480117 0.00% 0.48 5 - ROOTPRESOLVE=1
33 S .000000 .000000 .484525 0.00% 0.49 5 - SBEFFORT=0.25
34 S .000000 .000000 .481580 0.00% 0.48 5 - SBEFFORT=4
35 S .000000 .000000 .483802 0.00% 0.48 5 - SBESTIMATE=1
36 S .000000 .000000 .480201 0.00% 0.48 5 - SBESTIMATE=2
37 S .000000 .000000 .479065 0.00% 0.48 5 - SBESTIMATE=3
38 S .000000 .000000 .481827 0.00% 0.48 6 - SBESTIMATE=4
39 S .000000 .000000 .483433 0.00% 0.48 6 - SBESTIMATE=5
RunID Stat Solution Bound Integral Gap RunTime TotTime
* 41 S .000000 .000000 .218418 0.00% 0.22 6 - SCALING=0
setting:
SCALING = 0
logfile: UnknownProblem-20260303.171725-task0041.log
40 S .000000 .000000 .488415 0.00% 0.49 6 - SBESTIMATE=6
42 S .000000 .000000 .245361 0.00% 0.25 6 - SCALING=16
44 S .000000 .000000 .404500 0.00% 0.41 6 - SYMMETRY=0
43 S .000000 .000000 .486779 0.00% 0.49 6 - SCALING=163
45 S .000000 .000000 .479796 0.00% 0.48 6 - SYMMETRY=1
46 S .000000 .000000 .485806 0.00% 0.49 7 - SYMMETRY=2
47 S .000000 .000000 .479383 0.00% 0.48 7 - TREECOVERCUTS=0
48 S .000000 .000000 .487192 0.00% 0.49 7 - TREEGOMCUTS=0
49 S .000000 .000000 .485913 0.00% 0.49 7 - VARSELECTION=2
50 S .000000 .000000 .484622 0.00% 0.49 7 - VARSELECTION=7
Tuner: adaptive phase 1 solved 51 settings - 16 better than baseline
Tuner: starting adaptive phase 2: combining controls
RunID Stat Solution Bound Integral Gap RunTime TotTime
51 S .000000 .000000 .243179 0.00% 0.24 8 - HEUREMPHASIS=1;SCALING=0
53 S .000000 .000000 .243070 0.00% 0.24 8 - HEURSEARCHROOTCUTFREQ=2;SCALING=0
55 S .000000 .000000 .881925 0.00% 0.88 8 - COVERCUTS=0;SCALING=0
54 S .000000 .000000 .902671 0.00% 0.90 8 - CUTFACTOR=0.5;SCALING=0
56 S .000000 .000000 .222004 0.00% 0.22 9 - HEURSEARCHROOTCUTFREQ=5;SCALING=0
57 S .000000 .000000 .222173 0.00% 0.22 9 - CUTFACTOR=1;SCALING=0
52 S .000000 .000000 1.543985 0.00% 1.55 9 - PRESOLVE=0;SCALING=0
58 S .000000 .000000 .221933 0.00% 0.22 9 - GOMCUTS=2;SCALING=0
59 S .000000 .000000 .219082 0.00% 0.22 9 - GOMCUTS=10;SCALING=0
60 S .000000 .000000 .226131 0.00% 0.23 9 - COVERCUTS=2;SCALING=0
61 S .000000 .000000 .728394 0.00% 0.73 10 - GOMCUTS=0;SCALING=0
62 S .000000 .000000 .745033 0.00% 0.75 10 - SYMMETRY=0;SCALING=0
64 S .000000 .000000 .216924 0.00% 0.22 10 - HEURSEARCHROOTSELECT=0;SCALING=0
63 S .000000 .000000 .758667 0.00% 0.76 10 - NODEPROBINGEFFORT=0;SCALING=0
65 S .000000 .000000 .228104 0.00% 0.23 10 - HEUREMPHASIS=1;SCALING=16
67 S .000000 .000000 .227124 0.00% 0.23 10 - HEURSEARCHROOTCUTFREQ=2;SCALING=16
69 S .000000 .000000 .218982 0.00% 0.22 10 - COVERCUTS=0;SCALING=16
70 S .000000 .000000 .208462 0.00% 0.21 10 - COVERCUTS=0;HEUREMPHASIS=1;SCALING=16
68 S .000000 .000000 .706863 0.00% 0.71 11 - CUTFACTOR=0.5;SCALING=16
72 S .000000 .000000 .211857 0.00% 0.21 11 - COVERCUTS=0;HEURSEARCHROOTCUTFREQ=2;SCALING=16
RunID Stat Solution Bound Integral Gap RunTime TotTime
73 S .000000 .000000 .360400 0.00% 0.36 11 - COVERCUTS=0;CUTFACTOR=0.5;SCALING=16
66 S .000000 .000000 1.386432 0.00% 1.39 11 - PRESOLVE=0;SCALING=16
74 S .000000 .000000 .211074 0.00% 0.21 11 - COVERCUTS=0;HEURSEARCHROOTCUTFREQ=5;SCALING=16
75 S .000000 .000000 .227360 0.00% 0.23 11 - COVERCUTS=0;CUTFACTOR=1;SCALING=16
71 S .000000 .000000 .977201 0.00% 0.98 11 - COVERCUTS=0;PRESOLVE=0;SCALING=16
78 S .000000 .000000 .337563 0.00% 0.34 12 - COVERCUTS=0;GOMCUTS=0;SCALING=16
77 S .000000 .000000 .445452 0.00% 0.45 12 - COVERCUTS=0;GOMCUTS=10;SCALING=16
79 S .000000 .000000 .212278 0.00% 0.21 12 - COVERCUTS=0;SYMMETRY=0;SCALING=16
76 S .000000 .000000 .685130 0.00% 0.69 12 - COVERCUTS=0;GOMCUTS=2;SCALING=16
80 S .000000 .000000 .228514 0.00% 0.23 12 - COVERCUTS=0;NODEPROBINGEFFORT=0;SCALING=16
81 S .000000 .000000 .211283 0.00% 0.21 12 - COVERCUTS=0;HEURSEARCHROOTSELECT=0;SCALING=16
82 S .000000 .000000 .226273 0.00% 0.23 12 - HEURSEARCHROOTCUTFREQ=5;SCALING=16
83 S .000000 .000000 .262882 0.00% 0.26 12 - CUTFACTOR=1;SCALING=16
85 S .000000 .000000 .646272 0.00% 0.65 13 - GOMCUTS=10;SCALING=16
86 S .000000 .000000 .694904 0.00% 0.70 13 - COVERCUTS=2;SCALING=16
84 S .000000 .000000 1.103371 0.00% 1.10 13 - GOMCUTS=2;SCALING=16
87 S .000000 .000000 .915007 0.00% 0.92 14 - GOMCUTS=0;SCALING=16
88 S .000000 .000000 .789047 0.00% 0.79 14 - SYMMETRY=0;SCALING=16
* 91 S .000000 .000000 .139108 0.00% 0.14 14 - HEUREMPHASIS=1;PRESOLVE=0
setting:
HEUREMPHASIS = 1
PRESOLVE = 0
logfile: UnknownProblem-20260303.171725-task0091.log
90 S .000000 .000000 .228104 0.00% 0.23 14 - HEURSEARCHROOTSELECT=0;SCALING=16
RunID Stat Solution Bound Integral Gap RunTime TotTime
89 S .000000 .000000 .804902 0.00% 0.81 14 - NODEPROBINGEFFORT=0;SCALING=16
93 S .000000 .000000 1.129542 0.00% 1.13 15 - COVERCUTS=0;HEUREMPHASIS=1;PRESOLVE=0;SCALING=16
95 S .000000 .000000 .128139 0.00% 0.13 15 - CUTFACTOR=0.5;HEUREMPHASIS=1;PRESOLVE=0
96 S .000000 .000000 1.033549 0.00% 1.04 16 - COVERCUTS=0;HEUREMPHASIS=1;PRESOLVE=0
97 S .000000 .000000 .138571 0.00% 0.14 17 - CUTFACTOR=1;HEUREMPHASIS=1;PRESOLVE=0
98 S .000000 .000000 .297590 0.00% 0.30 17 - GOMCUTS=2;HEUREMPHASIS=1;PRESOLVE=0
99 S .000000 .000000 .300897 0.00% 0.30 17 - GOMCUTS=10;HEUREMPHASIS=1;PRESOLVE=0
100 S .000000 .000000 .653602 0.00% 0.65 18 - COVERCUTS=2;HEUREMPHASIS=1;PRESOLVE=0
92 S .000000 .000000 4.445932 0.00% 4.45 18 - HEUREMPHASIS=1;PRESOLVE=0;SCALING=0
101 S .000000 .000000 1.038149 0.00% 1.04 19 - GOMCUTS=0;HEUREMPHASIS=1;PRESOLVE=0
103 S .000000 .000000 .123735 0.00% 0.12 19 - HEUREMPHASIS=1;NODEPROBINGEFFORT=0;PRESOLVE=0
104 S .000000 .000000 .254801 0.00% 0.26 19 - CUTFACTOR=0.5;HEUREMPHASIS=1
105 S .000000 .000000 .293759 0.00% 0.29 19 - COVERCUTS=0;HEUREMPHASIS=1
106 S .000000 .000000 .267446 0.00% 0.27 20 - CUTFACTOR=1;HEUREMPHASIS=1
107 S .000000 .000000 .302580 0.00% 0.30 20 - GOMCUTS=2;HEUREMPHASIS=1
102 S .000000 .000000 1.651288 0.00% 1.65 20 - HEUREMPHASIS=1;PRESOLVE=0;SYMMETRY=0
109 S .000000 .000000 .250463 0.00% 0.25 20 - COVERCUTS=2;HEUREMPHASIS=1
108 S .000000 .000000 .325957 0.00% 0.33 20 - GOMCUTS=10;HEUREMPHASIS=1
110 S .000000 .000000 .282118 0.00% 0.28 21 - GOMCUTS=0;HEUREMPHASIS=1
111 S .000000 .000000 .251806 0.00% 0.25 21 - HEUREMPHASIS=1;SYMMETRY=0
RunID Stat Solution Bound Integral Gap RunTime TotTime
* 113 S .000000 .000000 .133698 0.00% 0.13 21 - HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
setting:
HEURSEARCHROOTCUTFREQ = 2
PRESOLVE = 0
logfile: UnknownProblem-20260303.171725-task0113.log
112 S .000000 .000000 .263129 0.00% 0.26 21 - HEUREMPHASIS=1;NODEPROBINGEFFORT=0
94 S .000000 .000000 7.697361 0.00% 7.70 22 - HEUREMPHASIS=1;PRESOLVE=0;SCALING=16
115 S .000000 .000000 .946696 0.00% 0.95 22 - COVERCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SCALING=16
117 S .000000 .000000 .121413 0.00% 0.12 22 - CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
114 S .000000 .000000 1.562041 0.00% 1.56 22 - HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SCALING=0
119 S .000000 .000000 .135243 0.00% 0.14 22 - CUTFACTOR=1;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
118 S .000000 .000000 .966392 0.00% 0.97 23 - COVERCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
120 S .000000 .000000 .488548 0.00% 0.49 23 - GOMCUTS=2;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
122 S .000000 .000000 .298643 0.00% 0.30 23 - COVERCUTS=2;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
123 S .000000 .000000 .354157 0.00% 0.35 24 - GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
121 S .000000 .000000 .761517 0.00% 0.76 24 - GOMCUTS=10;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
125 S .000000 .000000 .125745 0.00% 0.13 24 - HEURSEARCHROOTCUTFREQ=2;NODEPROBINGEFFORT=0;PRESOLVE=0
124 S .000000 .000000 .436803 0.00% 0.44 24 - HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SYMMETRY=0
116 S .000000 .000000 2.576685 0.00% 2.58 24 - HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SCALING=16
126 S .000000 .000000 1.297456 0.00% 1.30 25 - HEURSEARCHROOTCUTFREQ=2;HEURSEARCHROOTSELECT=0;PRESOLVE=0
129 S .000000 .000000 .167635 0.00% 0.17 25 - HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
127 S .000000 .000000 1.360017 0.00% 1.36 25 - CUTFACTOR=0.5;PRESOLVE=0
128 S .000000 .000000 1.023242 0.00% 1.03 25 - COVERCUTS=0;PRESOLVE=0
131 S .000000 .000000 .937651 0.00% 0.94 26 - COVERCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0;SCALING=16
RunID Stat Solution Bound Integral Gap RunTime TotTime
133 S .000000 .000000 .287596 0.00% 0.29 27 - CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
130 S .000000 .000000 1.748645 0.00% 1.75 27 - HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0;SCALING=0
135 S .000000 .000000 .174758 0.00% 0.18 27 - CUTFACTOR=1;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
132 S .000000 .000000 1.855646 0.00% 1.86 27 - HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0;SCALING=16
134 S .000000 .000000 .985139 0.00% 0.99 28 - COVERCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
136 S .000000 .000000 .567617 0.00% 0.57 28 - GOMCUTS=2;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
137 S .000000 .000000 .542774 0.00% 0.55 28 - GOMCUTS=10;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
138 S .000000 .000000 .227667 0.00% 0.23 28 - COVERCUTS=2;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
139 S .000000 .000000 .137335 0.00% 0.14 28 - GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
141 S .000000 .000000 .692842 0.00% 0.69 29 - HEURSEARCHROOTCUTFREQ=5;NODEPROBINGEFFORT=0;PRESOLVE=0
142 S .000000 .000000 .793968 0.00% 0.80 29 - GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0;SCALING=0
144 S .000000 .000000 .265228 0.00% 0.27 29 - GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0;SCALING=16
140 S .000000 .000000 1.295722 0.00% 1.30 29 - HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0;SYMMETRY=0
145 S .000000 .000000 .165450 0.00% 0.17 29 - CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
147 S .000000 .000000 .136613 0.00% 0.14 29 - CUTFACTOR=1;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
148 S .000000 .000000 .136896 0.00% 0.14 29 - COVERCUTS=2;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
143 S .000000 .000000 .958316 0.00% 0.96 30 - COVERCUTS=0;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0;SCALING=16
146 S .000000 .000000 .783954 0.00% 0.79 30 - COVERCUTS=0;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
151 S .000000 .000000 .274212 0.00% 0.28 30 - CUTFACTOR=1;PRESOLVE=0
149 S .000000 .000000 1.005622 0.00% 1.01 30 - GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0;SYMMETRY=0
RunID Stat Solution Bound Integral Gap RunTime TotTime
152 S .000000 .000000 .281617 0.00% 0.28 31 - GOMCUTS=2;PRESOLVE=0
150 S .000000 .000000 1.168743 0.00% 1.17 31 - GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;NODEPROBINGEFFORT=0;PRESOLVE=0
153 S .000000 .000000 .279628 0.00% 0.28 31 - GOMCUTS=10;PRESOLVE=0
154 S .000000 .000000 .278530 0.00% 0.28 31 - COVERCUTS=2;PRESOLVE=0
155 S .000000 .000000 .243105 0.00% 0.24 31 - GOMCUTS=0;PRESOLVE=0
156 S .000000 .000000 .214573 0.00% 0.22 31 - PRESOLVE=0;SYMMETRY=0
157 S .000000 .000000 .427646 0.00% 0.43 31 - NODEPROBINGEFFORT=0;PRESOLVE=0
159 S .000000 .000000 .896419 0.00% 0.90 32 - PRESOLVE=0;SYMMETRY=0;SCALING=0
160 S .000000 .000000 1.002356 0.00% 1.01 32 - COVERCUTS=0;PRESOLVE=0;SYMMETRY=0;SCALING=16
158 S .000000 .000000 1.438696 0.00% 1.44 32 - GOMCUTS=0;PRESOLVE=0;SCALING=0
161 S .000000 .000000 .658160 0.00% 0.66 33 - GOMCUTS=0;PRESOLVE=0;SYMMETRY=0
163 S .000000 .000000 .229389 0.00% 0.23 33 - CUTFACTOR=0.5;PRESOLVE=0;SYMMETRY=0
162 S .000000 .000000 .434524 0.00% 0.44 33 - PRESOLVE=0;SYMMETRY=0;SCALING=16
165 S .000000 .000000 .217944 0.00% 0.22 33 - CUTFACTOR=1;PRESOLVE=0;SYMMETRY=0
166 S .000000 .000000 .219414 0.00% 0.22 33 - GOMCUTS=2;PRESOLVE=0;SYMMETRY=0
167 S .000000 .000000 .218415 0.00% 0.22 33 - GOMCUTS=10;PRESOLVE=0;SYMMETRY=0
168 S .000000 .000000 .217250 0.00% 0.22 33 - COVERCUTS=2;PRESOLVE=0;SYMMETRY=0
* 170 S .000000 .000000 .101157 0.00% 0.10 33 - GOMCUTS=0;PRESOLVE=0;SCALING=16
setting:
GOMCUTS = 0
PRESOLVE = 0
SCALING = 16
logfile: UnknownProblem-20260303.171725-task0170.log
164 S .000000 .000000 .733238 0.00% 0.74 33 - COVERCUTS=0;PRESOLVE=0;SYMMETRY=0
171 S .000000 .000000 .321313 0.00% 0.32 34 - GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SCALING=16
RunID Stat Solution Bound Integral Gap RunTime TotTime
169 S .000000 .000000 .935324 0.00% 0.94 34 - COVERCUTS=0;GOMCUTS=0;PRESOLVE=0;SCALING=16
174 S .000000 .000000 .100954 0.00% 0.10 34 - CUTFACTOR=0.5;GOMCUTS=0;PRESOLVE=0;SCALING=16
172 S .000000 .000000 .917933 0.00% 0.92 34 - GOMCUTS=0;HEUREMPHASIS=1;PRESOLVE=0;SCALING=16
175 S .000000 .000000 .123420 0.00% 0.12 34 - CUTFACTOR=1;GOMCUTS=0;PRESOLVE=0;SCALING=16
176 S .000000 .000000 .124716 0.00% 0.13 34 - COVERCUTS=2;GOMCUTS=0;PRESOLVE=0;SCALING=16
177 S .000000 .000000 .245501 0.00% 0.25 34 - CUTFACTOR=0.5;GOMCUTS=0;PRESOLVE=0
173 S .000000 .000000 1.163378 0.00% 1.17 35 - GOMCUTS=0;PRESOLVE=0;SYMMETRY=0;SCALING=16
179 S .000000 .000000 .246329 0.00% 0.25 35 - CUTFACTOR=1;GOMCUTS=0;PRESOLVE=0
180 S .000000 .000000 .152021 0.00% 0.15 35 - COVERCUTS=2;GOMCUTS=0;PRESOLVE=0
182 S .000000 .000000 .126056 0.00% 0.13 35 - COVERCUTS=2;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
181 S .000000 .000000 .279484 0.00% 0.28 35 - CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=2
183 S .000000 .000000 .128903 0.00% 0.13 35 - COVERCUTS=2;GOMCUTS=0;HEUREMPHASIS=1;PRESOLVE=0
178 S .000000 .000000 .794658 0.00% 0.80 35 - COVERCUTS=0;GOMCUTS=0;PRESOLVE=0
186 S .000000 .000000 .158713 0.00% 0.16 35 - COVERCUTS=2;GOMCUTS=0;PRESOLVE=0;SCALING=0
184 S .000000 .000000 .319330 0.00% 0.32 35 - CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SCALING=16
187 S .000000 .000000 .126131 0.00% 0.13 35 - COVERCUTS=2;CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
188 S .000000 .000000 .153567 0.00% 0.15 36 - COVERCUTS=2;CUTFACTOR=0.5;GOMCUTS=0;PRESOLVE=0
189 S .000000 .000000 .110796 0.00% 0.11 36 - COVERCUTS=2;CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SCALING=16
191 S .000000 .000000 .135682 0.00% 0.14 36 - COVERCUTS=2;CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SCALING=0
185 S .000000 .000000 .640431 0.00% 0.64 36 - COVERCUTS=2;GOMCUTS=0;PRESOLVE=0;SYMMETRY=0
RunID Stat Solution Bound Integral Gap RunTime TotTime
192 S .000000 .000000 .136800 0.00% 0.14 36 - COVERCUTS=2;CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5;PRESOLVE=0
193 S .000000 .000000 .127846 0.00% 0.13 36 - COVERCUTS=2;CUTFACTOR=0.5;GOMCUTS=0;HEUREMPHASIS=1;PRESOLVE=0
194 S .000000 .000000 .152970 0.00% 0.15 36 - COVERCUTS=2;CUTFACTOR=1;GOMCUTS=0;PRESOLVE=0
190 S .000000 .000000 .555687 0.00% 0.56 36 - COVERCUTS=2;CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SYMMETRY=0
196 S .000000 .000000 .370350 0.00% 0.37 36 - CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=2;SCALING=0
198 S .000000 .000000 .332808 0.00% 0.33 37 - COVERCUTS=0;CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=2;SCALING=16
195 S .000000 .000000 .957551 0.00% 0.96 37 - CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SYMMETRY=0
199 S .000000 .000000 .364082 0.00% 0.36 37 - CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
197 S .000000 .000000 1.025537 0.00% 1.03 37 - COVERCUTS=0;CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0;SCALING=16
200 S .000000 .000000 .358815 0.00% 0.36 37 - CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=2;SCALING=16
201 S .000000 .000000 .343416 0.00% 0.34 37 - COVERCUTS=0;CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=2
202 S .000000 .000000 .324993 0.00% 0.33 37 - COVERCUTS=0;HEURSEARCHROOTCUTFREQ=2
203 S .000000 .000000 .314285 0.00% 0.32 38 - CUTFACTOR=1;HEURSEARCHROOTCUTFREQ=2
204 S .000000 .000000 .336113 0.00% 0.34 38 - COVERCUTS=0;CUTFACTOR=0.5
205 S .000000 .000000 .343244 0.00% 0.34 38 - CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=5
207 S .000000 .000000 .326532 0.00% 0.33 38 - COVERCUTS=0;HEURSEARCHROOTCUTFREQ=5
208 S .000000 .000000 .341041 0.00% 0.34 38 - COVERCUTS=0;CUTFACTOR=1
210 S .000000 .000000 .127370 0.00% 0.13 38 - COVERCUTS=2;CUTFACTOR=1;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
206 S .000000 .000000 .857768 0.00% 0.86 38 - COVERCUTS=0;CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
209 S .000000 .000000 .349981 0.00% 0.35 38 - CUTFACTOR=1;HEURSEARCHROOTCUTFREQ=5
Tuner: adaptive phase 2 solved 160 settings
Tuner: starting adaptive phase 3: removing controls
RunID Stat Solution Bound Integral Gap RunTime TotTime
211 S .000000 .000000 .283540 0.00% 0.28 39 - COVERCUTS=2;CUTFACTOR=0.5;HEURSEARCHROOTCUTFREQ=2;PRESOLVE=0
212 S .000000 .000000 .300509 0.00% 0.30 39 - COVERCUTS=2;CUTFACTOR=0.5;GOMCUTS=0;HEURSEARCHROOTCUTFREQ=2
213 S .000000 .000000 .395282 0.00% 0.40 39 - GOMCUTS=0;HEURSEARCHROOTCUTFREQ=5
214 S .000000 .000000 .618471 0.00% 0.62 39 - COVERCUTS=2;GOMCUTS=0
Tuner: adaptive phase 3 solved 4 settings
RunID Stat Solution Bound Integral Gap RunTime TotTime
baseline S .000000 .000000 .499607 0.00% 0.50 39 -
baseline setting:
THREADS = 3
best S .000000 .000000 .101157 0.00% 0.10 39 - GOMCUTS=0;PRESOLVE=0;SCALING=16
setting:
GOMCUTS = 0
PRESOLVE = 0
SCALING = 16
logfile: UnknownProblem-20260303.171725-task0170.log
Tuner: removing each tunable control from the best setting
Removing Control Solution Bound Gap RunTime
(none) .000000 .000000 0.00% 0.10
(all) .000000 .000000 0.00% 0.50
GOMCUTS .000000 .000000 0.00% 1.39
PRESOLVE .000000 .000000 0.00% 0.92
SCALING .000000 .000000 0.00% 0.24
Tuner: baseline 0.00% 0.50s improved to 0.00% 0.10s in 39s and 215 runs - GOMCUTS=0;PRESOLVE=0;SCALING=16
Tuner: applying the best setting to problem
FICO Xpress v9.8.0, Hyper, solve started 17:18:05, Mar 3, 2026
Heap usage: 2455KB (peak 112MB, 1490KB system)
Minimizing MILP using up to 3 threads and up to 16GB memory, with these control settings:
SCALING = 16
PRESOLVE = 0
GOMCUTS = 0
THREADS = 3
TUNERMODE = -1
TUNERMETHOD = 1
TUNERTHREADS = 3
TUNERHISTORY = 0
TUNERMAXTIME = 180
Original problem has:
2054 rows 4777 cols 9672 elements 2574 entities
936 inds
Coefficient range original solved
Coefficients [min,max] : [ 1.00e+00, 2.00e+01] / [ 1.25e-01, 2.50e+00]
RHS and bounds [min,max] : [ 1.00e+00, 2.00e+01] / [ 1.00e+00, 2.00e+01]
Objective [min,max] : [ 0.0, 0.0] / [ 0.0, 0.0]
Symmetric problem: generators: 5, support set: 2496
Number of orbits: 572, largest orbit: 6
Row orbits: 273, row support: 1638
Will try to keep branch and bound tree memory usage below 15.1GB
Starting concurrent solve with dual (1 thread) and barrier (2 threads)
Concurrent-Solve, 0s
Dual Barrier
objective sum inf
P .0000000 .0000000 |
------- optimal -------- | ----- interrupted ------
Concurrent statistics:
Dual: 2340 simplex iterations, 0.01s
Barrier: 6 barrier and 173 simplex iterations, 0.01s
Barrier used 2 threads 2 cores
, crossover used 2 threads
Optimal solution found
Its Obj Value S Ninf Nneg Sum Inf Time
2340 .000000 P 0 0 .000000 0
Dual solved problem
2340 simplex iterations in 0.01 seconds at time 0
Final objective : 0.000000000000000e+00
Max primal violation (abs/rel) : 1.110e-16 / 8.882e-17
Max dual violation (abs/rel) : 0.0 / 0.0
Max complementarity viol. (abs/rel) : 0.0 / 0.0
Starting root cutting & heuristics
Deterministic mode with up to 1 additional thread
Its Type BestSoln BestBound Sols Add Del Gap GInf Time
R .000000 .000000 1 0.0e+00 0 0
STOPPING - MIPRELSTOP target reached (MIPRELSTOP=0.0001 gap=0).
*** Search completed ***
Uncrunching matrix
Final MIP objective : 0.000000000000000e-01
Final MIP bound : 0.000000000000000e-01
Solution time / primaldual integral : 0.10s/ 99.500452%
Work / work units per second : 0.19 / 1.93
Number of solutions found / nodes : 1 / 1
Max primal violation (abs/rel) : 1.776e-15 / 4.441e-16
Max integer violation (abs ) : 1.776e-15
XPRESS 9.8.0 (46.01.01): optimal solution
2878 simplex iterations
1 branching nodes
Objective = find a feasible point.
Conclusion#
Automatic tuning improved single-solve runtime using the new setting GOMCUTS=0;PRESOLVE=0;SCALING=16. See https://dev.ampl.com/solvers/xpress/index.html for a full list of AMPL Xpress options.