Appraising Feasibility and Maximal Flow Capacity of a Network

Abstract

The use of the dual graph in determining the value of the maximal flow capacity of an undirected network has been extended to directed networks. A directed dual graph is defined such that the length of the shortest route through this dual is equal to the maximal flow capacity of its directed primal. Feasibility of a specified exogenous flow for networks having positive lower bounds on arc flows can also be appraised. Infeasibility is indicated by a dual cycle of negative length.

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Document Details

Document Type
Technical Report
Publication Date
Oct 23, 1970
Accession Number
AD0715546

Entities

People

  • Alan W. Mcmasters

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • California
  • Construction
  • Equations
  • Flow Network
  • Graphs
  • Guarantees
  • Inequalities
  • Intervals
  • Mathematics
  • Observation
  • United States

Readers

  • Graph Algorithms and Convex Optimization.
  • Operations Research