Finding the Equivalent Transportation Formulations for Constrained Transportation Problems

Abstract

The paper describes a procedure for determining if constrained transportation problems (i.e., transportation problems with additional linear constraints) can be transformed into equivalent pure transportation problems by a linear transformation involving the node constraints and the extra constraints. The results extend procedures for problems in which the extra constraints consist of bounding certain partial sums of variables.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0757987

Entities

People

  • Darwin Dee Klingman
  • Fred W. Glover
  • G. T. Ross Jr.

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Applied Mathematics
  • Coefficients
  • Commerce
  • Convex Programming
  • Equations
  • Interdisciplinary Science
  • Linear Programming
  • Mathematical Programming
  • Military Research
  • Operations Research
  • Packaging
  • Shipping
  • Transportation
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Approximation Theory.
  • Industrial Economics