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Measuring performances of multiple-channel queueing systems with imprecise data: a membership function approach

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  • S-P Chen

    (National Chung Cheng University)

Abstract

This paper proposes a mixed integer nonlinear programming (MINLP) approach to measure the system performances of multiple-channel queueing models with imprecise data. The main idea is to transform a multiple-channel queue with imprecise data to a family of conventional crisp multiple-channel queues by applying the α-cut approach in fuzzy theory. On the basis of α-cut representation and the extension principle, two pairs of parametric MINLP are formulated to describe the family of crisp multiple-channel queues, via which the membership functions of the performance measures are derived. To demonstrate the validity of the proposed procedure, a real-world case of multiple-channel fuzzy queue is investigated successfully. Since the performance measures are expressed by membership functions rather than by crisp values, the fuzziness of input information is completed conserved. Thus, the results obtained from the proposed approach can represent the system more accurately, and more information is provided for system design in practice.

Suggested Citation

  • S-P Chen, 2008. "Measuring performances of multiple-channel queueing systems with imprecise data: a membership function approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 381-387, March.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:3:d:10.1057_palgrave.jors.2602348
    DOI: 10.1057/palgrave.jors.2602348
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    References listed on IDEAS

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    1. Kao, Edward P. C. & Wilson, Sandra D., 1999. "Analysis of nonpreemptive priority queues with multiple servers and two priority classes," European Journal of Operational Research, Elsevier, vol. 118(1), pages 181-193, October.
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