Mond–Weir type second order symmetric duality in non-differentiable minimax mixed integer programming problems

A pair of Mond–Weir type non-differentiable second order symmetric minimax mixed integer primal and dual problems in mathematical programming is formulated. Symmetric and self-duality theorems are then established under second order F-pseudo-convexity assumptions. Several known results including tha...

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Bibliographic Details
Published in:European journal of operational research Vol. 170; no. 2; pp. 355 - 362
Main Author: Mishra, S.K.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 16.04.2006
Elsevier
Elsevier Sequoia S.A
Series:European Journal of Operational Research
Subjects:
Applied sciences
Exact sciences and technology
Integer programming
Mathematical programming
Minimax mixed integer programming
Non-differentiable programming
Operational research and scientific management
Operational research. Management science
Operations research
Second order F-pseudo-convexity
Second order symmetric duality
Self-duality
Studies
Minimax mixed integer programming
Second order F-pseudo-convexity
Second order symmetric duality
Non-differentiable programming
Self-duality
Non differentiable programming
Minimax method
Primal dual method
Mixed integer programming
Duality
Convexity
Mathematical programming
ISSN:0377-2217, 1872-6860
Online Access:Get full text
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Summary:A pair of Mond–Weir type non-differentiable second order symmetric minimax mixed integer primal and dual problems in mathematical programming is formulated. Symmetric and self-duality theorems are then established under second order F-pseudo-convexity assumptions. Several known results including that of Gulati and Ahmad [Eur. J. Oper. Res. 101 (1997) 122], Hou and Yang [J. Math. Anal. Appl. 255 (2001) 491] and Mond and Schechter [Bull. Aust. Math. Soc. 53 (1996) 177], as well as others are obtained as special cases.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2004.06.021