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Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0,Q,N,M) policy

Author

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  • Kuo-Hsiung Wang
  • Ya-Ling Wang

Abstract

operating under the triadic (0,Q, N,M) policy, where L is the maximum number of customers in the system. The number of working servers can be adjusted one at a time at arrival epochs or at service completion epochs depending on the number of customers in the system. Analytic closed-form solutions of the controllable M/M/2 queueing system with finite capacity operating under the triadic (0,Q, N,M) policy are derived. This is a generalization of the ordinary M/M/2 and the controllable M/M/1 queueing systems in the literature. The total expected cost function per unit time is developed to obtain the optimal operating (0,Q, N,M) policy at minimum cost. Copyright Springer-Verlag Berlin Heidelberg 2002

Suggested Citation

  • Kuo-Hsiung Wang & Ya-Ling Wang, 2002. "Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0,Q,N,M) policy," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(3), pages 447-460, June.
    • Handle: RePEc:spr:mathme:v:55:y:2002:i:3:p:447-460
    DOI: 10.1007/s001860200190
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    Cited by:

    1. Lotfi Tadj & Gautam Choudhury, 2005. "Optimal design and control of queues," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(2), pages 359-412, December.
    2. P. Vijaya Laxmi & E. Girija Bhavani & K. Jyothsna, 2023. "Analysis of Markovian queueing system with second optional service operating under the triadic policy," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 256-275, March.

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