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Endogenous queue number determination in G/M/s systems

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  • Alves, Vasco

Abstract

This paper presents a model for the endogenous determination of the number of queues in a G/M/s system. Customers arriving at a system where s customers are being served play a game, choosing between s parallel queues or one single queue. Equilibria are obtained for risk-neutral and risk-averse customers. With risk-neutral customers, both a single queue and multiple queues are equilibrium states. When risk-averse customers are considered, there is a unique single queue equilibrium. These results are discussed and suggestions for further research put forth.

Suggested Citation

  • Alves, Vasco, 2020. "Endogenous queue number determination in G/M/s systems," MPRA Paper 104517, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:104517
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    References listed on IDEAS

    as
    1. Knudsen, Niels Chr, 1972. "Individual and Social Optimization in a Multiserver Queue with a General Cost-Benefit Structure," Econometrica, Econometric Society, vol. 40(3), pages 515-528, May.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Queues—Applications: strategic interactions; Queues—Multichannel: determining number; Games/group decisions: strategic queueing;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • Y80 - Miscellaneous Categories - - Related Disciplines - - - Related Disciplines

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