Accession Number : AD0672084

Title :   AN ALGORITHM FOR SEPARABLE NONCONVEX PROGRAMMING PROBLEMS.

Descriptive Note : Technical paper,

Corporate Author : RESEARCH ANALYSIS CORP MCLEAN VA

Personal Author(s) : Falk,James E. ; Soland,Richard M.

Report Date : JUL 1968

Pagination or Media Count : 37

Abstract : An algorithm is presented for solving mathematical programming problems of the form: Find chi = (chi sub one, ..., chi sub n) to minimize Summation (Phi sub i (chi sub i)) subject to chi) an element of G and l = or < chi = or < L. Each Phi sub i is assumed to be lower semicontinuous, possibly nonconvex, and G is assumed to be closed. The algorithm is of the branch-and-bound type and solves a sequence of problems in each of which the objective function is convex. These problems correspond to successive partitions of the feasible set. Two different rules for refining the partitions are considered; these lead to convergence of the algorithm under different requirements on the problem functions. Examples are given and computational considerations are discussed. (Author)

Descriptors :   (*MATHEMATICAL PROGRAMMING, ALGORITHMS), SET THEORY, PROBLEM SOLVING, OPTIMIZATION, FUNCTIONS(MATHEMATICS), THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE