Book Example: transp

Description: book example autogenerated using transp.mod, transp.dat, and transp.run

Tags: ampl-only, ampl-book

Notebook author: N/A

Model author: N/A

# Install dependencies
%pip install -q amplpy

# Google Colab & Kaggle integration
from amplpy import AMPL, ampl_notebook

ampl = ampl_notebook(
    modules=["coin"],  # modules to install
    license_uuid="default",  # license to use
)  # instantiate AMPL object and register magics

Example: transp

autogenerated using transp.mod, transp.dat, and transp.run

%%writefile transp.mod
set ORIG;   # origins
set DEST;   # destinations

param supply {ORIG} >= 0;   # amounts available at origins
param demand {DEST} >= 0;   # amounts required at destinations

   check: sum {i in ORIG} supply[i] = sum {j in DEST} demand[j];

param cost {ORIG,DEST} >= 0;   # shipment costs per unit
var Trans {ORIG,DEST} >= 0;    # units to be shipped

minimize Total_Cost:
   sum {i in ORIG, j in DEST} cost[i,j] * Trans[i,j];

subject to Supply {i in ORIG}:
   sum {j in DEST} Trans[i,j] = supply[i];

subject to Demand {j in DEST}:
   sum {i in ORIG} Trans[i,j] = demand[j];

%%writefile transp.dat
data;

param: ORIG:  supply :=  # defines set "ORIG" and param "supply"
        GARY   1400
        CLEV   2600
        PITT   2900 ;

param: DEST:  demand :=  # defines "DEST" and "demand"
        FRA     900
        DET    1200
        LAN     600
        WIN     400
        STL    1700
        FRE    1100
        LAF    1000 ;

param cost:
         FRA  DET  LAN  WIN  STL  FRE  LAF :=
   GARY   39   14   11   14   16   82    8
   CLEV   27    9   12    9   26   95   17
   PITT   24   14   17   13   28   99   20 ;

%%ampl_eval
model transp.mod;
data transp.dat;
option solver cbc;
solve;
display Trans;