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Analysis of Markovian queueing system with second optional service operating under the triadic policy

Author

Listed:
  • P. Vijaya Laxmi

    (Andhra University)

  • E. Girija Bhavani

    (Andhra University)

  • K. Jyothsna

    (Vignan’s Institute of Engineering for Women)

Abstract

In this paper, we investigate an M/M/2 queueing system with a second optional service that operates under a triadic (0, Q, N, M) policy. The stability condition and stationary probability distribution of the system size are computed by adopting the matrix-geometric method. Numerous system performance measures are also derived. The quadratic fit search method is applied to the cost optimization problem in order to optimize service rates during the first essential service and the second optional service. Finally, numerical results are presented for the illustration of the effect of model parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:opsear:v:60:y:2023:i:1:d:10.1007_s12597-022-00588-y
    DOI: 10.1007/s12597-022-00588-y
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    References listed on IDEAS

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    1. K. R. Balachandran, 1973. "Control Policies for a Single Server System," Management Science, INFORMS, vol. 19(9), pages 1013-1018, May.
    2. Daniel P. Heyman, 1977. "The T-Policy for the M/G/1 Queue," Management Science, INFORMS, vol. 23(7), pages 775-778, March.
    3. 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.
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    Cited by:

    1. Mario Lefebvre, 2024. "A Controlled Discrete-Time Queueing System as a Model for the Orders of Two Competing Companies," Games, MDPI, vol. 15(3), pages 1-8, May.

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