Technical Note—A Method for Solving Mathematical Programs with Nonlinear Programs in the Constraints | Zendy

Jerome Bracken | Zendy; James T. McGill | Zendy

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Technical Note—A Method for Solving Mathematical Programs with Nonlinear Programs in the Constraints

Author(s) -

Jerome Bracken,

James T. McGill

Publication year - 1974

Publication title -

operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.797

H-Index - 140

eISSN - 1526-5463

pISSN - 0030-364X

DOI - 10.1287/opre.22.5.1097

Subject(s) - computer science , nonlinear system , computer program , mathematical optimization , nonlinear programming , mathematical model , algorithm , mathematics , programming language , statistics , physics , quantum mechanics

This note describes a computational procedure for solving mathematical programs with nonlinear programs in the constraints; it uses the SUMT computer program for the overall mathematical program, and a new program called INSUMT for the nonlinear programs in the constraints. IN AN EARLIER paper,R1] we formulated a class of mathematical programs with optimization problems in the constraints, presented theory dealing with properties of the relevant functions that result in convex programming problems and discussed interpretations. It gives an example with linear programs in the constraints.

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