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An improved algorithm for two stage time minimization assignment problem

Author

Listed:
  • Ekta Jain

    (Panjab University)

  • Kalpana Dahiya

    (Panjab University)

  • Anuj Sharma

    (Panjab University)

  • Vanita Verma

    (Panjab University)

Abstract

The paper develops a technique to solve two stage time minimization assignment problem dealing with the allocation of n jobs to n persons in two stages where $$n_1$$ n 1 out of n jobs are primary jobs and constitute Stage-I and rest of the jobs are secondary jobs constituting Stage-II. It is assumed that each person can be assigned to one job only and each job is to be done by exactly one person. Further, in a particular stage, all the jobs are commenced simultaneously. Stage-II jobs are commenced only after Stage-I jobs are finished and the objective is to find an assignment which minimizes the total completion time of Stage-I and Stage-II jobs. Numerical examples are provided to support the theory. The proposed algorithm has been coded in MATLAB and tested on different problems with n varying from 10 to 100.

Suggested Citation

  • Ekta Jain & Kalpana Dahiya & Anuj Sharma & Vanita Verma, 2019. "An improved algorithm for two stage time minimization assignment problem," Journal of Combinatorial Optimization, Springer, vol. 37(2), pages 713-736, February.
    • Handle: RePEc:spr:jcomop:v:37:y:2019:i:2:d:10.1007_s10878-018-0318-2
    DOI: 10.1007/s10878-018-0318-2
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    References listed on IDEAS

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    1. Robert S. Garfinkel, 1971. "Technical Note—An Improved Algorithm for the Bottleneck Assignment Problem," Operations Research, INFORMS, vol. 19(7), pages 1747-1751, December.
    2. Aggarwal, V., 1983. "The assignment problem under categorized jobs," European Journal of Operational Research, Elsevier, vol. 14(2), pages 193-195, October.
    3. H. W. Kuhn, 1955. "The Hungarian method for the assignment problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 2(1‐2), pages 83-97, March.
    4. Sonia & Puri, M.C., 2008. "Two-stage time minimizing assignment problem," Omega, Elsevier, vol. 36(5), pages 730-740, October.
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    Cited by:

    1. 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.

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