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An alternate linear algorithm for the minimum flow problem

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  • V G Adlakha

    (University of Baltimore)

Abstract

We present an alternate linear algorithm for finding the minimum flow in (s, t)-planar networks using a new concept of minimal removable sets developed here. The iterative nature of the algorithm facilitates the adjustment of solutions for systems in developmental stages. The minimum flow algorithm presented here requires O(|V|) time, where V denotes the set of vertices. The minimum flow problem arises in many transportation and communication systems.

Suggested Citation

  • V G Adlakha, 1999. "An alternate linear algorithm for the minimum flow problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(2), pages 177-182, February.
    • Handle: RePEc:pal:jorsoc:v:50:y:1999:i:2:d:10.1057_palgrave.jors.2600662
    DOI: 10.1057/palgrave.jors.2600662
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    Cited by:

    1. Laura Ciupala & Adrian Deaconu, 2021. "Incremental Minimum Flow Algorithms," Mathematics, MDPI, vol. 9(9), pages 1-13, May.

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