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State-of-the-Art--Networks of Queues--A Survey of Equilibrium Analysis

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  • Austin J. Lemoine

    (Control Analysis Corporation, Palo Alto, California)

Abstract

Queueing network models abound in applications, but despite their importance many of the results for these models, both classical and recent, are not well known. The intent of this paper is to provide an overview of available equilibrium results for "general Jackson systems," that is, queueing network models of the sort introduced in the classical papers of Jackson [Jackson, J. R. 1957. Networks of waiting lines. Oper. Res. 5 518-521; Jackson, J. R. 1963. Jobshop-like queueing systems. Management Sci. 10 131-142.]. In addition, we discuss methodology which has been employed to obtain the equilibrium results and we call attention to some important open problems. Detailed discussions are limited to a small group of papers which seem important to us, and there is considerable emphasis on recent work appearing in the applied probability literature. The list of references does include, however, work not reviewed here, along with other survey and background material.

Suggested Citation

  • Austin J. Lemoine, 1977. "State-of-the-Art--Networks of Queues--A Survey of Equilibrium Analysis," Management Science, INFORMS, vol. 24(4), pages 464-481, December.
    • Handle: RePEc:inm:ormnsc:v:24:y:1977:i:4:p:464-481
    DOI: 10.1287/mnsc.24.4.464
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    Cited by:

    1. Gautier, P., 1994. "Search externalities in a Jackson queuing model for the labormarket," Serie Research Memoranda 0019, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. Kirchmaier, Isadora, 2014. "Service Organizations: Customer Contact and Incentives of Knowledge Managers," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100418, Verein für Socialpolitik / German Economic Association.
    3. Kurt M. Bretthauer, 2000. "Optimal service and arrival rates in Jackson queueing networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(1), pages 1-17, February.
    4. Halachmi, I. & Adan, I. J. B. F. & van der Wal, J. & van Beek, P. & Heesterbeek, J. A. P., 2003. "Designing the optimal robotic milking barn by applying a queuing network approach," Agricultural Systems, Elsevier, vol. 76(2), pages 681-696, May.

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