AMPL, aka A Mathematical Programming Language, is a programming language created in 1985 by Robert Fourer and David Gay and Brian Kernighan.
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A Mathematical Programming Language (AMPL) is an algebraic modeling language to describe and solve high-complexity problems for large-scale mathematical computing (i.e., large-scale optimization and scheduling-type problems). It was developed by Robert Fourer, David Gay, and Brian Kernighan at Bell Laboratories. AMPL supports dozens of solvers, both open source and commercial software, including CBC, CPLEX, FortMP, Gurobi, MINOS, IPOPT, SNOPT, KNITRO, and LGO. Read more on Wikipedia...
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# A toy knapsack problem from the LocalSolver docs written in AMPL.
set I;
param Value{I};
param Weight{I};
param KnapsackBound;
var Take{I} binary;
maximize TotalValue: sum{i in I} Take[i] * Value[i];
s.t. WeightLimit: sum{i in I} Take[i] * Weight[i] <= KnapsackBound;
data;
param:
I: Weight Value :=
0 10 1
1 60 10
2 30 15
3 40 40
4 30 60
5 20 90
6 20 100
7 2 15;
param KnapsackBound := 102;
set Plants;
set Markets;
# Capacity of plant p in cases
param Capacity{p in Plants};
# Demand at market m in cases
param Demand{m in Markets};
# Distance in thousands of miles
param Distance{Plants, Markets};
# Freight in dollars per case per thousand miles
param Freight;
# Transport cost in thousands of dollars per case
param TransportCost{p in Plants, m in Markets} :=
Freight * Distance[p, m] / 1000;
# Shipment quantities in cases
var shipment{Plants, Markets} >= 0;
# Total transportation costs in thousands of dollars
minimize cost:
sum{p in Plants, m in Markets} TransportCost[p, m] * shipment[p, m];
# Observe supply limit at plant p
s.t. supply{p in Plants}: sum{m in Markets} shipment[p, m] <= Capacity[p];
# Satisfy demand at market m
s.t. demand{m in Markets}: sum{p in Plants} shipment[p, m] >= Demand[m];
data;
set Plants := seattle san-diego;
set Markets := new-york chicago topeka;
param Capacity :=
seattle 350
san-diego 600;
param Demand :=
new-york 325
chicago 300
topeka 275;
param Distance : new-york chicago topeka :=
seattle 2.5 1.7 1.8
san-diego 2.5 1.8 1.4;
param Freight := 90;| Feature | Supported | Token | Example |
|---|---|---|---|
| MultiLine Comments | ✓ | ||
| Integers | ✓ | # \d+([eE][+-]?\d+)? |
|
| Floats | ✓ | # (\d+\.(?!\.)\d*|\.(?!.)\d+)([eE][+-]?\d+)? |
|
| Assignment | ✓ | := | |
| Comments | ✓ | # A comment |
|
| Line Comments | ✓ | # | # A comment |
| Semantic Indentation | X |
| title | author | year | reviews | ratings | rating |
|---|---|---|---|---|---|
| Ampl: A Modeling Language for Mathematical Programming | Robert Fourer | 1993 | 0 | 17 | 4.00 |
| AMPL: A modeling language for mathematical programming : with AMPL Plus student edition for Microsoft Windows | Robert Fourer | 1997 | 0 | 0 | 0.0 |
| Ampl: A Modeling Language for Mathematical Programming: With Ampl Plus Student Edition for Microsoft Windows | Robert Fourer | 1997 | 0 | 0 | 0.0 |
| Ampl: A Modeling Language for Math Programming Package (with User Guide) | Robert Fourer | 1999 | 0 | 1 | 2.00 |
| Ampl: A Molding Language for Mathematical Programming/Book & IBM 5 1/4 Disk | Robert Fourer | 1991 | 0 | 0 | 0.0 |
| Mathematical Optimization Software: Mathematica, General Algebraic Modeling System, Propt, Ioso, Mps, Ampl, Apmonitor, Tomsym, Worhp, Dido | Source Wikipedia | 2011 | 0 | 0 | 0.0 |
| title | authors | year | publisher |
|---|---|---|---|
| AMPL: A Modeling Language for Mathematical Programming (with AMPL Plus Student Edition for Microsoft Windows) (The Scientific Press Series) | Fourer, Robert and Gay, David M. and Kernighan, Brian W. | 1997 | Cengage Learning |
| AMPL: A Modeling Language for Mathematical Programming (with AMPL Plus Student Edition for Microsoft Windows) (The Scientific Press Series) | Fourer, Robert and Gay, David M. and Kernighan, Brian W. | 1997-01-13T00:00:01Z | Cengage Learning |
| title | authors | year | citations | influentialCitations |
|---|---|---|---|---|
| DIY DEA: Implementing data envelopment analysis in the mathematical programming language AMPL | R. Green | 1996 | 8 | 0 |
| Loslan implementation of the AMPL message-passing system | J. Milewski | 1984 | 2 | 0 |