Some procedures for solving special max-min fractional rank-two reverse-convex programming problems

In this paper we suggest some procedures for solving two special classes of \(\max\)-\(\min\) fractional reverse-convex programs. We show that a special bilinear fractional max-min reverse-convex program can be solved by a linear reverse-convex programming problem. For a linear fractional max-min re...

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Bibliographic Details
Published in:	Journal of numerical analysis and approximation theory Vol. 33; no. 2
Main Authors:	Doina Ionac, Ştefan Ţigan
Format:	Journal Article
Language:	English
Published:	Publishing House of the Romanian Academy 01.08.2004
Subjects:	bilinear fractional programs linear fractional max-min programs max-min programming reverse-convex programming
ISSN:	2457-6794, 2501-059X
Online Access:	Get full text
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Summary:	In this paper we suggest some procedures for solving two special classes of \(\max\)-\(\min\) fractional reverse-convex programs. We show that a special bilinear fractional max-min reverse-convex program can be solved by a linear reverse-convex programming problem. For a linear fractional max-min reverse-convex program, possessing two reverse-convex sets, we propose a parametrical method. The particularity of this procedure is the fact that the max-min optimal solution of the original problem is obtained by solving at each iteration two linear reverse-convex programs with a rank-two monotonicity property.
ISSN:	2457-6794 2501-059X
DOI:	10.33993/jnaat332-772