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A Flow Augmentation Approach to the Network with Gains Minimum Cost Flow Problem

Author

Listed:
  • P. A. Jensen

    (University of Texas at Austin)

  • Gora Bhaumik

    (California State University at Fullerton)

Abstract

A network with gains has branches in which the ratio between the flow leaving a branch and the flow entering a branch is a positive constant called the gain. Branch gains may be greater or less than one. Such networks arise in water resources and electrical power planning problems, among others. This paper presents a dual method of finding the minimum cost flows in such a network. Computerized versions of the procedure have been tested on networks with up to 7,000 branches.

Suggested Citation

  • P. A. Jensen & Gora Bhaumik, 1977. "A Flow Augmentation Approach to the Network with Gains Minimum Cost Flow Problem," Management Science, INFORMS, vol. 23(6), pages 631-643, February.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:6:p:631-643
    DOI: 10.1287/mnsc.23.6.631
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    Cited by:

    1. López-Ramos, Francisco & Nasini, Stefano & Sayed, Mohamed H., 2020. "An integrated planning model in centralized power systems," European Journal of Operational Research, Elsevier, vol. 287(1), pages 361-377.

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