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A solution for queues with instantaneous jockeying and other customer selection rules

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  • R. L. Disney
  • W. E. Mitchell

Abstract

This paper presents a general solution for the M/M/r queue with instantaneous jockeying and r > 1 servers. The solution is obtained in matrices in closed form without recourse to the generating function arguments usually used. The solution requires the inversion of two (Zr−1) × (2r−1) matrices. The method proposed is extended to allow different queue selection preferences of arriving customers, balking of arrivals, jockeying preference rules, and queue dependent selection along with jockeying. To illustrate the results, a problem previously published is studied to show how known results are obtained from the proposed general solution.

Suggested Citation

  • R. L. Disney & W. E. Mitchell, 1970. "A solution for queues with instantaneous jockeying and other customer selection rules," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 17(3), pages 315-325, September.
    • Handle: RePEc:wly:navlog:v:17:y:1970:i:3:p:315-325
    DOI: 10.1002/nav.3800170308
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    Cited by:

    1. Sergei A. Dudin & Olga S. Dudina & Olga I. Kostyukova, 2023. "Analysis of a Queuing System with Possibility of Waiting Customers Jockeying between Two Groups of Servers," Mathematics, MDPI, vol. 11(6), pages 1-21, March.

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