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    Chapter and Conference Paper

    The AMPL Modeling Language: An Aid to Formulating and Solving Optimization Problems

    Optimization problems arise in many contexts. Sometimes finding a good formulation takes considerable effort. A modeling language, such as AMPL, facilitates experimenting with formulations and simplifies using...

    David M. Gay in Numerical Analysis and Optimization (2015)

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    Chapter and Conference Paper

    Symbolic-Algebraic Computations in a Modeling Language for Mathematical Programming

    AMPL is a language and environment for expressing and manipulating mathematical programming problems, i.e., minimizing or maximizing an algebraic objective function subject to algebraic constraints. The AMPL proc...

    David M. Gay in Symbolic Algebraic Methods and Verification Methods (2001)

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    Article

    A variant of Karmarkar's linear programming algorithm for problems in standard form

    This paper presents a variant of Karmarkar's linear programming algorithm that works directly with problems expressed in standard form and requires no a priori knowledge of the optimal objective function value...

    David M. Gay in Mathematical Programming (1987)

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    Chapter and Conference Paper

    A trust-region approach to linearly constrained optimization

    This paper suggests a class of trust-region algorithms for solving linearly constrained optimization problems. The algorithms use a “local” active-set strategy to select the steps they try. This strategy is su...

    David M. Gay in Numerical Analysis (1984)