HYBRID - A Mathematical Programming Package

Makowski, M. ORCID: https://orcid.org/0000-0002-6107-0972 & Sosnowski, J.S. (1984). HYBRID - A Mathematical Programming Package. IIASA Collaborative Paper. IIASA, Laxenburg, Austria: CP-84-009

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Abstract

This paper describes a new mathematical programming package developed by the authors and implemented both on the VAX at IIASA and at the Computing Center of the State Planning Commission in Warsaw.

The new package, called HYBRID, is designed for the solution of linear programming problems, making use of a particular implementation of the Lagrange multiplier method. The version described here is limited to static LP problems (including multiobjective problems that may be reformulated as LP problems), but it will eventually be extended to deal with dynamic problems.

HYBRID is intended for use with real-world problems that require scenario analysis. and is therefore oriented towards an interactive mode of operation in which a sequence of problems is to be solved under different conditions (e.g., with different objective functions, reference points, constraints or bounds).

This report provides all the information necessary to use the HYBRID package at IIASA and also discusses the methodological issues associated with the chosen solution technique.

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