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Impact of deadline intervals on behavior of solutions to the random Sequencing Jobs with Deadlines problem

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  • Szkatuła, Krzysztof

Abstract

The paper analyzes the influence, exerted by the mutual relations of deadline intervals on behavior of the optimal solution values for the random Sequencing Jobs with Deadlines (SJD) problems. An asymptotically sub-optimal algorithm is proposed. It is assumed that the problem coefficients are realizations of independent uniformly distributed random variables and deadlines are deterministic. The results, presented in the paper, significantly extend knowledge on behavior of the optimal solutions to the SJD problem in the asymptotical case.

Suggested Citation

  • Szkatuła, Krzysztof, 2017. "Impact of deadline intervals on behavior of solutions to the random Sequencing Jobs with Deadlines problem," European Journal of Operational Research, Elsevier, vol. 262(1), pages 40-45.
  • Handle: RePEc:eee:ejores:v:262:y:2017:i:1:p:40-45
    DOI: 10.1016/j.ejor.2017.03.047
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    References listed on IDEAS

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    1. El-Bouri, Ahmed & Balakrishnan, Subramaniam & Popplewell, Neil, 2000. "Sequencing jobs on a single machine: A neural network approach," European Journal of Operational Research, Elsevier, vol. 126(3), pages 474-490, November.
    2. E. L. Lawler & J. M. Moore, 1969. "A Functional Equation and its Application to Resource Allocation and Sequencing Problems," Management Science, INFORMS, vol. 16(1), pages 77-84, September.
    3. Sevaux, Marc & Dauzere-Peres, Stephane, 2003. "Genetic algorithms to minimize the weighted number of late jobs on a single machine," European Journal of Operational Research, Elsevier, vol. 151(2), pages 296-306, December.
    4. Janiak, Adam & Janiak, Władysław A. & Krysiak, Tomasz & Kwiatkowski, Tomasz, 2015. "A survey on scheduling problems with due windows," European Journal of Operational Research, Elsevier, vol. 242(2), pages 347-357.
    5. Catanzaro, Daniele & Gouveia, Luis & Labbé, Martine, 2015. "Improved integer linear programming formulations for the job Sequencing and tool Switching Problem," European Journal of Operational Research, Elsevier, vol. 244(3), pages 766-777.
    6. Detienne, Boris, 2014. "A mixed integer linear programming approach to minimize the number of late jobs with and without machine availability constraints," European Journal of Operational Research, Elsevier, vol. 235(3), pages 540-552.
    7. Xia, Yu & Chen, Bintong & Yue, Jinfeng, 2008. "Job sequencing and due date assignment in a single machine shop with uncertain processing times," European Journal of Operational Research, Elsevier, vol. 184(1), pages 63-75, January.
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