Accession Number : AD0735474

Title :   On a Classification Scheme for Geometric Programming and Complementarity Theorems.

Descriptive Note : Research rept.,

Corporate Author : CARNEGIE-MELLON UNIV PITTSBURGH PA MANAGEMENT SCIENCES RESEARCH GROUP

Personal Author(s) : Gochet,W. ; Kortanek,K. O. ; Smeers,Y.

Report Date : OCT 1971

Pagination or Media Count : 25

Abstract : A classification theorem for geometric programming is given by using the duality results of Duffin-Peterson-Zener and two properties of a given pair of dual geometric programming problems having subconsistent primal: (1) if the subinfimum is 0, then the dual is inconsistent and (2) if the subinfimum is + infinity then the dual is consistent and unbounded. While (1) and (2) may be derived as corollaries to the Duffin-Peterson-Zener theorems, the authors derivation leads to new complementarity theorems for subconsistent (not necessarily consistent) primal problems. (Author)

Descriptors :   (*MATHEMATICAL PROGRAMMING, CLASSIFICATION), GEOMETRY, SEQUENCES, INEQUALITIES, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE