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Implied constraints and a unified theory of duality in linear and nonlinear programming

โœ Scribed by Pravin K. Johri

Book ID
107992399
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
670 KB
Volume
71
Category
Article
ISSN
0377-2217

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๐Ÿ“œ SIMILAR VOLUMES

Implied constraints and LP duals of gene
Implied constraints and LP duals of general nonlinear programming problems
โœ Pravin K. Johri ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

A very surprising result is derived in this paper, that there exists a family of LP duals for general NLP problems. A general dual problem is ยฎrst derived from implied constraints via a simple bounding technique. It is shown that the Lagrangian dual is a special case of this general dual and that ot

Duality theory and slackness conditions
Duality theory and slackness conditions in multiobjective linear programming
โœ A. Balbas; P. Jimenez; A. Heras ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 575 KB

The aim of this paper is to develop a duality theory for linear multiobjective programming verifying similar properties as in the scalar case. We use the so-called "strongly proper optima" and we characterize such optima and its associated dual solutions by means of some complementary slackness cond