An Algorithm for Locating Approximate Global Solutions of Nonconvex, Separable Problems,

Abstract

A commonly employed method for locating solutions of separable programming problems involves a modification of the simplex method applied to a piecewise linear approximation of the original problem. This technique locates only local solutions of the approximate problem. The author presents here the details of a method designed to locate global solutions of the same problem. The method is based on the branch and bound procedure and sets up a finite sequence of linear programming subproblems of a special structure whose solutions ultimately yield the desired global solution. An example is given, and some computational aspects are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 20, 1972
Accession Number
AD0743498

Entities

People

  • James E. Falk

Organizations

  • George Washington University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programming
  • Evolutionary Algorithms
  • Heuristic Methods
  • Linear Programming
  • Mathematics
  • Sequences
  • Simplex Method

Fields of Study

  • Mathematics

Readers

  • Operations Research