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On two node tandem queueing model with time dependent service rates

Author

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  • K. Srinivasa Rao

    (Andhra University)

  • J. Durga Aparajitha

    (Andhra University)

Abstract

Queueing is a phenomenon associated with congestion. For controlling congestion and to utilize the resources optimally the queueing models are developed. In queueing models, it is customary to consider that the arrival and service processes are stable and follows a Poisson process. But in many systems the service process is time dependent and it can be well characterized by non-homogeneous Poisson process. This paper introduces a tandem queueing model with non-homogeneous Poisson service process. The system performance is analysed by deriving the system performance measure such as, average content of the queues, average waiting time of a customer in the queue and in the system, the throughput of transmitters, and the variance of the number of customers in the system. The effect of various changes in parameter on the system performance measures is carried through sensitivity analysis. It is observed that the time dependent service rate has significant influence on the system performance measures. This model can accurately predict the performance measures, when the service rates are time dependent. Several of the earlier models become particular cases of this model.

Suggested Citation

  • K. Srinivasa Rao & J. Durga Aparajitha, 2019. "On two node tandem queueing model with time dependent service rates," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(1), pages 19-34, February.
    • Handle: RePEc:spr:ijsaem:v:10:y:2019:i:1:d:10.1007_s13198-018-0731-z
    DOI: 10.1007/s13198-018-0731-z
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    References listed on IDEAS

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    1. A.V.S. Suhasini & K. Srinivasa Rao & P. Rajasekhara Reddy, 2014. "Queueing model with non-homogeneous bulk arrivals having state-dependent service rates," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 21(1), pages 84-99.
    2. Atchuta Rao Sadu & K. Srinivas Rao & K. Nirupama Devi, 2017. "Forked queueing model with load dependent service rate and bulk arrivals," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 30(1), pages 1-32.
    3. Avi Mandelbaum & William A. Massey, 1995. "Strong Approximations for Time-Dependent Queues," Mathematics of Operations Research, INFORMS, vol. 20(1), pages 33-64, February.
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