On two node tandem queueing model with time dependent service rates

K. Srinivasa Rao () and J. Durga Aparajitha ()
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K. Srinivasa Rao: Andhra University
J. Durga Aparajitha: Andhra University

International Journal of System Assurance Engineering and Management, 2019, vol. 10, issue 1, No 2, 19-34

Abstract: 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.

Keywords: Non-homogeneous Poisson process; Tandem queuing model; Performance measure; Join probability generating function (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13198-018-0731-z

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