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Download AMPL A Mathematical Programming Language 2011.07.14


AMPL (AN ABBREVIATION OF THE ENGLISH. �A MATHEMATICAL PROGRAMMING
LANGUAGE� � �LANGUAGE FOR MATHEMATICAL PROGRAMMING) � high
level programming language developed at Bell Laboratories, in order to
describe and solve complex problems of optimization and scheduling
theory. AMPL does not solve the problem directly, and calls
appropriate external solvers (like CPLEX, MINOS, IPOPT, SNOPT, etc.),
to obtain solutions. AMPL works with linear and nonlinear optimization
problems with discrete or continuous variables. One advantage of AMPL
� like its syntax mathematical record of optimization problems that
allows us to give very short and easy to read the definition of
mathematical programming. Many modern solvers available on the server
NEOS, take input models for AMPL. AMPL was created English. Robert
Fourer, Eng. David Gay and Brian Kerniganom.
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.
AMPL�s 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 alternative 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.