Book Example: steel

Description: book example autogenerated using steel.mod, steel.dat, and steel.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: steel

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

%%writefile steel.mod
set PROD;  # products

param rate {PROD} > 0;     # tons produced per hour
param avail >= 0;          # hours available in week

param profit {PROD};       # profit per ton
param market {PROD} >= 0;  # limit on tons sold in week

var Make {p in PROD} >= 0, <= market[p]; # tons produced

maximize Total_Profit: sum {p in PROD} profit[p] * Make[p];

               # Objective: total profits from all products

subject to Time: sum {p in PROD} (1/rate[p]) * Make[p] <= avail;

               # Constraint: total of hours used by all
               # products may not exceed hours available

%%writefile steel.dat
data;

set PROD := bands coils;

param:    rate  profit  market :=
  bands    200    25     6000
  coils    140    30     4000 ;

param avail := 40;

%%ampl_eval
model steel.mod;
data steel.dat;
option solver cbc;
solve;
display Make;

assert ampl.solve_result == "solved", ampl.solve_result