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Cost analysis of the unloader queueing system with a single unloader subject to breakdowns

Author

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  • K-H Wang

    (National Chung-Hsing University, Taichung 402)

  • Y-C Chiang

    (National Chung-Hsing University, Taichung 402)

  • J-C Ke

    (National Taichung Institute of Technology, Taichung 404)

Abstract

In this paper, we deal with an unloader queueing model in which N identical trailers are unloaded by a single unloader. We consider two different types of a single unloader, which are subject to breakdowns. In type 1, the unloader can break down only when there is at least one trailer in the system, while in type 2, the unloader can break down even if no trailers are in the system. Analytic closed-form solutions of the unloader queueing system are derived. A cost model is developed in order to determine the optimal value of the number of trailers to be assigned to the unloader for both types. Under the optimal operating condition, numerical results are presented in which several system performance measures are evaluated based on assumed numerical values given to the system parameters. Sensitivity analysis is also investigated.

Suggested Citation

  • K-H Wang & Y-C Chiang & J-C Ke, 2003. "Cost analysis of the unloader queueing system with a single unloader subject to breakdowns," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(5), pages 515-520, May.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:5:d:10.1057_palgrave.jors.2601538
    DOI: 10.1057/palgrave.jors.2601538
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    References listed on IDEAS

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    1. Kenneth Chelst & Andrea Zundell Tilles & J. S. Pipis, 1981. "A Coal Unloader: A Finite Queueing System with Breakdowns," Interfaces, INFORMS, vol. 11(5), pages 12-25, October.
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    Cited by:

    1. Chen, Shih-Pin, 2016. "Time value of delays in unreliable production systems with mixed uncertainties of fuzziness and randomness," European Journal of Operational Research, Elsevier, vol. 255(3), pages 834-844.

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      Keywords

      cost; queue; unloader breakdowns;
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