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An alternate approach to solve two-level priority based assignment problem

Author

Listed:
  • Fanrong Xie

    (Sichuan University of Science and Engineering
    Chinese Academy of Sciences
    Nanchang University)

  • Anuj Sharma

    (Panjab University)

  • Zuoan Li

    (Sichuan University of Science and Engineering)

Abstract

Two-level priority based assignment problem (2PBAP) is an important optimization problem due to the timely delivery requirement in project management. Only four methods with deficiency are available in the literature to solve 2PBAP. In this paper, 2PBAP is reduced to a series of finding the feasible flow in a network with lower and upper arc capacities, and consequently two iterative algorithms are developed to solve 2PBAP. It is proved that both iterative algorithms find the optimal solution to 2PBAP in a strongly polynomial time. Owing to having fully utilized the network flow structural characteristic inherent to 2PBAP, both iterative algorithms have the advantages such as easy implementation on computer, no memory overflow in implementation on computer for large scale instances, high computational efficiency, and easy extension to the priority based assignment problem with priority level more than two, and successfully overcome the deficiency of existing approaches. Computational experiments validate that in terms of computational time, one of our proposed iterative algorithms has higher efficiency than the other, and rivals the existing best approach.

Suggested Citation

  • Fanrong Xie & Anuj Sharma & Zuoan Li, 2022. "An alternate approach to solve two-level priority based assignment problem," Computational Optimization and Applications, Springer, vol. 81(2), pages 613-656, March.
    • Handle: RePEc:spr:coopap:v:81:y:2022:i:2:d:10.1007_s10589-021-00340-0
    DOI: 10.1007/s10589-021-00340-0
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    References listed on IDEAS

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