Representations of Unbounded Optimizations as Integer Programs.

Abstract

Any optimization problem in a finite structure can be represented as an integer or mixed-integer program in integral quantities. It is shown that when an optimization problem on an unbounded structure has such a representation, it is 'very close' to a linear programming problem, in the specific sense described in the following results. It is also shown that, if an optimization problem has such a representation, no more than (n + 2) equality constraints need be used, where n is the number of variables of the problem.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1976
Accession Number
ADA025603

Entities

People

  • Robert G. Jeroslow

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Computer Programming
  • Integrals
  • Linear Programming
  • Mathematical Programming
  • Mathematics
  • Optimization

Fields of Study

  • Mathematics

Readers

  • Operations Research