A Characterization of Local Solutions Useful for Solving Reverse Convex Programs,

Abstract

This paper describes a solution procedure for a class of nonconvex programs defined by constraints and objectives having convexity which is the reverse of that required for a convex problem. Theorems are presented to show that only a finite number of local solutions must be considered in searching for the global minimum. It is also shown that a global solution can be obtained by solving a finite number of convex subproblems under certain broad conditions.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
ADA002171

Entities

People

  • Richard J. Hillestad

Organizations

  • RAND Corporation

Tags

Fields of Study

  • Mathematics

Readers

  • Operations Research