AMPL, aka A Mathematical Programming Language, is an open source 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 highcomplexity problems for largescale mathematical computing (i.e., largescale optimization and schedulingtype 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 sandiego;
set Markets := newyork chicago topeka;
param Capacity :=
seattle 350
sandiego 600;
param Demand :=
newyork 325
chicago 300
topeka 275;
param Distance : newyork chicago topeka :=
seattle 2.5 1.7 1.8
sandiego 2.5 1.8 1.4;
param Freight := 90;
Feature  Supported  Token  Example 

MultiLine Comments  âœ“  
Integers  âœ“  # \d+([eE][+]?\d+)? 

Floats  âœ“  # (\d+\.(?!\.)\d*\.(?!.)\d+)([eE][+]?\d+)? 

Assignment  âœ“  :=  
Comments  âœ“  # A comment 

Line Comments  âœ“  #  # A comment 
Semantic Indentation  X 