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A local search algorithm: minimizing makespan of deteriorating jobs with relaxed agreeable weights

Author

Listed:
  • Anjulika Gupta

    (R.V. College of Engineering)

  • Prabha Sharma

    (The NorthCap University)

  • Hemant Salwan

    (The NorthCap University)

Abstract

In this paper, we consider the problem of minimizing makespan of n deteriorating jobs on a single machine. Rates of deterioration are job-dependent and constant with respect to the starting times. Jobs begin to deteriorate after a common critical date ‘d.’ The concept of relaxed agreeable weights is introduced. It is shown that the problem is NP-hard. The condition of relaxed agreeable weights and the structure of the problem are used to show that our local search algorithm, to obtain a locally optimal solution, will require polynomial effort in the number of jobs.

Suggested Citation

  • Anjulika Gupta & Prabha Sharma & Hemant Salwan, 2018. "A local search algorithm: minimizing makespan of deteriorating jobs with relaxed agreeable weights," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 29-54, March.
    • Handle: RePEc:spr:eurjco:v:6:y:2018:i:1:d:10.1007_s13675-017-0086-2
    DOI: 10.1007/s13675-017-0086-2
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    References listed on IDEAS

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    1. Gupta, Sushil K & Kunnathur, Anand S & Dandapani, Krishnan, 1987. "Optimal repayment policies for multiple loans," Omega, Elsevier, vol. 15(4), pages 323-330.
    2. Kunnathur, Anand S. & Gupta, Sushil K., 1990. "Minimizing the makespan with late start penalties added to processing times in a single facility scheduling problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 56-64, July.
    3. Leung, Joseph Y.-T. & Ng, C.T. & Cheng, T.C. Edwin, 2008. "Minimizing sum of completion times for batch scheduling of jobs with deteriorating processing times," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1090-1099, June.
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