AMPL A Mathematical Programming Language 2009-10-14

AMPL A Mathematical Programming Language 2009-10-14

AMPL is a comprehensive and powerful algebraic
modeling language for linear and nonlinear
optimization problems, in discrete or continuous
variables.

Developed at Bell Laboratories, AMPL lets you use
common notation and familiar concepts to formulate
optimization models and examine solutions, while the
computer manages communication with an appropriate
solver.

AMPLs flexibility and convenience render it ideal
for rapid prototyping and model development, while
its speed and control options make it an especially
efficient choice for repeated production runs.


Key modeling language features

Broad support for sets and set operators. AMPL
models can use sets of pairs, triples, and longer
tuples; collections of sets indexed over sets;
unordered, ordered, and circular sets of objects;
and sets of numbers.

General and natural syntax for arithmetic,
logical, and conditional expressions; familiar
conventions for summations and other iterated
operators.

Nonlinear programming features such as initial
primal and dual values, user defined functions,
fast automatic differentiation, and automatic
elimination of "defined" variables.

Convenient alteative notations including node
and arc declarations for network problems, a
special syntax for piecewise linear functions, and
columnwise specification of linear coefficients.


Key modeling environment features

Interactive command environment with batch
processing options. Powerful display commands let
you view any model component or expression,
browsing on screen or writing to a file, using
automatic formatting or your own preferences.

New looping and if then else commands. Simple
programs in the AMPL command language can now be
written to solve sequences of related problems,
for sensitivity analysis and for decomposition or
other iterative schemes.

Separation of model and data. AMPL models remain
concise even as sets and data tables grow. Models
may incorporate many kinds of conditions for
validity of the data.

Interfaces to popular and sophisticated solvers
including CONOPT, CPLEX, LAMPS, LANCELOT, LOQO,
LSGRG, MINOS, OSL, SNOPT, and XA.

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