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Some Inequalities for Parallel-Server Queues

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  • Shelby L. Brumelle

    (University of British Columbia, Vancouver, B.C., Canada)

Abstract

This paper obtains bounds, in terms of the first two moments of the input, on the expected wait in an A / G / k queue with stationary input. To this end, two single-server systems are constructed. The wait in queue for the first single-server system is stochastically larger than the wait in the given multiserver system, and the expected wait in the second single-server system is used to obtain a lower bound on the expected wait in the A / G / k system. The paper also develops, as a consequence of the lower bounds, some results concerning the optimum number of servers, given a fixed work capacity.

Suggested Citation

  • Shelby L. Brumelle, 1971. "Some Inequalities for Parallel-Server Queues," Operations Research, INFORMS, vol. 19(2), pages 402-413, April.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:2:p:402-413
    DOI: 10.1287/opre.19.2.402
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    Cited by:

    1. Altendorfer, Klaus & Minner, Stefan, 2011. "Simultaneous optimization of capacity and planned lead time in a two-stage production system with different customer due dates," European Journal of Operational Research, Elsevier, vol. 213(1), pages 134-146, August.

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