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Second order symmetric duality for nonlinear minimax mixed integer programs

  • T. R. Gulati*
  • , Izhar Ahmad
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

Wolfe type second order minimax mixed integer dual programs are formulated and a symmetric duality theorem is established under separability and bonvexity/boncavity of the kernel function K(x, y). Mond-Weir type symmetric duality is also discussed under weaker bonvexity assumptions. Moreover, self-duality theorems for these pairs are obtained assuming K(x, y) to be skew symmetric.

Original languageEnglish
Pages (from-to)122-129
Number of pages8
JournalEuropean Journal of Operational Research
Volume101
Issue number1
DOIs
StatePublished - 16 Aug 1997
Externally publishedYes

Bibliographical note

Funding Information:
The authorsw ish to thank the refereef or his valuables uggestionws hich have improvedth e presentatioonf this paper. The second author is also thankful to the University Grants Commissiono f India for financial support.

Keywords

  • Minimax
  • Mixed integer programming
  • Self-duality
  • Symmetric duality

ASJC Scopus subject areas

  • General Computer Science
  • Modeling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management

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