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Maximum Multicommodity Flow with Intermediate Storage

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  • Durga Prasad Khanal
  • Urmila Pyakurel
  • Tanka Nath Dhamala

Abstract

The multicommodity flow problem deals with the transshipment of more than one commodity from respective sources to corresponding sinks without violating the capacity constraints. Due to the capacity constraints, flows out from the sources may not reach their sinks, and so, the storage of excess flows at intermediate nodes plays an important role in the maximization of flow values. In this paper, we introduce the maximum static as well as maximum dynamic multicommodity flow problems with intermediate storage. We present polynomial and pseudopolynomial time algorithms for the former and latter problems, respectively. We also present the solution procedures to these problems in contraflow network having symmetric as well as asymmetric arc transit times. We transform the solutions in continuous-time settings by using natural transformation.

Suggested Citation

  • Durga Prasad Khanal & Urmila Pyakurel & Tanka Nath Dhamala, 2021. "Maximum Multicommodity Flow with Intermediate Storage," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-11, July.
    • Handle: RePEc:hin:jnlmpe:5063207
    DOI: 10.1155/2021/5063207
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    Cited by:

    1. Pyakurel, Urmila & Khanal, Durga Prasad & Dhamala, Tanka Nath, 2023. "Abstract network flow with intermediate storage for evacuation planning," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1178-1193.

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