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M/G/c/K PERFORMANCE MODELS IN MANUFACTURING AND SERVICE SYSTEMS

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  • J. MACGREGOR SMITH

    (Department of Mechanical and Industrial Engineering, University of Massachusetts Amherst, Massachusetts 01003, USA)

Abstract

Multi-server, finite buffer, performance models of queueing systems are very useful tools for manufacturing, telecommunication, transportation and facility modelling applications. Exact computation of performance measures for general service multi-server queueing systems remains an intractable problem. Approximations of these performance measures are important to quickly and accurately reveal the performance of a system. This is desirable for both performance evaluation as well as optimization of these systems. Two-moment approximation formulas are presented for performance modelling of multi-server systems involving servers of 2,3,…,10 servers. Extensive computational results are provided to evaluate the approximation results against simulation, known tabular results, and other approximation formulas. Applications of the model to optimizing manufacturing and service systems using a marginal allocation algorithm are briefly illustrated. Extensions of the two-moment methodology to larger multi-server systemsc = {25, 50, 100}round out the paper.

Suggested Citation

  • J. Macgregor Smith, 2008. "M/G/c/K PERFORMANCE MODELS IN MANUFACTURING AND SERVICE SYSTEMS," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(04), pages 531-561.
    • Handle: RePEc:wsi:apjorx:v:25:y:2008:i:04:n:s0217595908001857
    DOI: 10.1142/S0217595908001857
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    M/G/c/K performance models;

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