Optimality criteria for general unconstrained geometric programming problems

✍ Scribed by Tibor Illés

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 393 KB
• Volume: 21
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(91)90235-v

✦ Synopsis

This paper presents a possible generalization of geometric programming problems. Such a generalization was proposed by Paterson [6], based on Roc.l~eUar's [8] conjugate function theory.

Using their results, we define a slightly different, more symmetric dual pair of general unconstrained geometric programming problems. In the second chapter the conjugate function is defined and some of its properties are demonstrated. In the third chapter the general unconstrained geometric programming problem and its dual pair are introduced and some of its fundamental properties are proved. The primal optimality criteria is based on Petexson's papers [6,7] and the dual optimality criteria completes our examinations.