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A Note on Marginal Allocation in Multiple-Server Service Systems

Author

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  • Alan J. Rolfe

    (Bell Telephone Laboratories, Holmdel, New Jersey)

Abstract

In this note we consider the allocation of servers to a multiple facility service system. Each facility consists of a number of parallel channels and the arrival processes are Poisson. When service times are constant we prove that marginal allocation is an optimal and easily implemented solution technique and suggest that it is also optimal for exponential service times.

Suggested Citation

  • Alan J. Rolfe, 1971. "A Note on Marginal Allocation in Multiple-Server Service Systems," Management Science, INFORMS, vol. 17(9), pages 656-658, May.
    • Handle: RePEc:inm:ormnsc:v:17:y:1971:i:9:p:656-658
    DOI: 10.1287/mnsc.17.9.656
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    Cited by:

    1. Zhang, Xuelu & Wang, Jinting & Do, Tien Van, 2015. "Threshold properties of the M/M/1 queue under T-policy with applications," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 284-301.
    2. Xiuli Chao & Liming Liu & Shaohui Zheng, 2003. "Resource Allocation in Multisite Service Systems with Intersite Customer Flows," Management Science, INFORMS, vol. 49(12), pages 1739-1752, December.
    3. Michelle Opp & Kevin Glazebrook & Vidyadhar G. Kulkarni, 2005. "Outsourcing warranty repairs: Dynamic allocation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 381-398, August.
    4. Refael Hassin & Yair Y. Shaki & Uri Yovel, 2015. "Optimal service‐capacity allocation in a loss system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 81-97, March.
    5. M. Eric Johnson & Margaret L. Brandeau, 1999. "Design of an Automated Shop Floor Material Handling System with Inventory Considerations," Operations Research, INFORMS, vol. 47(1), pages 65-80, February.

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