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Scheduling policies in the M/G/1 make-to-stock queue

Author

Listed:
  • N Sanajian

    (Joseph L. Rotman School of Management, University of Toronto)

  • H Abouee-Mehrizi

    (Joseph L. Rotman School of Management, University of Toronto)

  • B Balcıog̃lu

    (University of Toronto)

Abstract

In this paper, we analyse a production/inventory system modelled as an M/G/1 make-to-stock queue producing different products requiring different and general production times. We study different scheduling policies including the static first-come-first-served, preemptive and non-preemptive priority disciplines. For each static policy, we exploit the distributional Little's law to obtain the steady-state distribution of the number of customers in the system and then find the optimal inventory control policy and the cost. We additionally provide the conditions under which it is optimal to produce a product according to a make-to-order policy. We further extend the application area of a well-known dynamic scheduling heuristic, Myopic(T), for systems with non-exponential service times by permitting preemption. We compare the performance of the preemptive-Myopic(T) heuristic alongside that of the static preemptive-b μ rule against the optimal solution. The numerical study we have conducted demonstrates that the preemptive-Myopic(T) policy is superior between the two and yields costs very close to the optimal.

Suggested Citation

  • N Sanajian & H Abouee-Mehrizi & B Balcıog̃lu, 2010. "Scheduling policies in the M/G/1 make-to-stock queue," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 115-123, January.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:1:d:10.1057_jors.2008.139
    DOI: 10.1057/jors.2008.139
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    References listed on IDEAS

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    1. Khaled Hadj Youssef & Christian Van Delft & Yves Dallery, 2004. "Efficient Scheduling Rules in a Combined Make-to-Stock and Make-to-Order Manufacturing System," Annals of Operations Research, Springer, vol. 126(1), pages 103-134, February.
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    6. Christian van Delft & K. Hadj Youssef, 2004. "Efficient Scheduling Rules in a Combined Make-to-Stock and Make-to-Order Manufacturing System," Post-Print hal-00471415, HAL.
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    Cited by:

    1. William Liang & Barış Balcıog̃lu & Robert Svaluto, 2013. "Scheduling policies for a repair shop problem," Annals of Operations Research, Springer, vol. 211(1), pages 273-288, December.

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