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A bicriteria approach to minimize number of tardy jobs and resource consumption in scheduling a single machine

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  • Yedidsion, Liron
  • Shabtay, Dvir
  • Korach, Ephraim
  • Kaspi, Moshe

Abstract

We extend the classical scheduling problem of minimizing the number of tardy jobs in a single-machine to the case where the job processing times are controllable by allocating a continuous and non-renewable resource to the processing operations. Our aim is to construct an efficient trade-off curve between the number of tardy jobs and total resource consumption using a bicriteria approach. Most of the research on scheduling with controllable resource-dependent processing times is done either to a linear resource consumption function or to a specific type of convex resource consumption function. We, in contrast, analyze the problem for a more general type of convex decreasing resource consumption function, which guarantees a very robust analysis that can be applied to a wide range of problems. We present four different variations of the problem and prove them to be -hard. We then present a polynomial time algorithm to solve an important special case of the problem and also suggest and compare the performances of three different heuristic algorithms.

Suggested Citation

  • Yedidsion, Liron & Shabtay, Dvir & Korach, Ephraim & Kaspi, Moshe, 2009. "A bicriteria approach to minimize number of tardy jobs and resource consumption in scheduling a single machine," International Journal of Production Economics, Elsevier, vol. 119(2), pages 298-307, June.
    • Handle: RePEc:eee:proeco:v:119:y:2009:i:2:p:298-307
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    References listed on IDEAS

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    Cited by:

    1. Vinod, V. & Sridharan, R., 2011. "Simulation modeling and analysis of due-date assignment methods and scheduling decision rules in a dynamic job shop production system," International Journal of Production Economics, Elsevier, vol. 129(1), pages 127-146, January.
    2. Shabtay, Dvir & Bensoussan, Yaron & Kaspi, Moshe, 2012. "A bicriteria approach to maximize the weighted number of just-in-time jobs and to minimize the total resource consumption cost in a two-machine flow-shop scheduling system," International Journal of Production Economics, Elsevier, vol. 136(1), pages 67-74.

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