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An algorithm for the multiparametric 0-1-integer linear programming problem relative to the objective function

Article Abstract:

Issues are presented concerning the production of a total multiparametric analysis through the use of an algorithm. The need for parametric analysis when mathematical programming is undertaken is discussed.

Author: Crema, Alejandro
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 2000

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A contraction algorithm for the multiparametric integer linear programming problem

Article Abstract:

An algorithm for solving the right hand side of the multiparametric integer linear programming (ILP) problem has been found to be a viable solution to defining members of a multiparametric task. The algorithm is presented with a finite sequence of ILP or mixed ILP so that a multiparametrical analysis is obtained. The algorithm may be applied to problems that are related through having identical objective and matrix coefficients.

Author: Crema, Alejandro
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1997
Research and Development in the Physical, Engineering, and Life Sciences, Statistics, Operations Research, Management science, Analysis, Statistics (Mathematics), Nonlinear programming

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An algorithm to perform a complete right-hand-side parametrical analysis for a 0-1-integer linear programming problem

Article Abstract:

An algorithm aimed at solving the continuous right-hand-side parametric 0-1-Integer Linear Programming problem has been designed and implemented. The solution functions by selecting an appropriate finite sequence of 0-1-Mixed-Integer Linear Programming (MILP) problems for it to get a complete parametrical analysis. The algorithm, which can be the basis for a new algorithm designed for solving multiparametric cases, can be implemented with the use of any software with MILP problem-solving capabilities.

Author: Crema, Alejandro
Publisher: Elsevier B.V.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1999
Computer programming, Algorithms

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Subjects list: Research, Linear programming, Integer programming
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