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Min/max bounds for dynamic network flows

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  • W. L. Wilkinson

Abstract

This paper presents an algorithm for determining the upper and lower bounds for arc flows in a maximal dynamic flow solution. The procedure is basically an extended application of the Ford‐Fulkerson dynamic flow algorithm which also solves the minimal cost flow problem. A simple example is included. The presence of bounded optimal are flows entertains the notion that one can pick a particular solution which is preferable by secondary criteria.

Suggested Citation

  • W. L. Wilkinson, 1973. "Min/max bounds for dynamic network flows," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(3), pages 505-516, September.
    • Handle: RePEc:wly:navlog:v:20:y:1973:i:3:p:505-516
    DOI: 10.1002/nav.3800200311
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