Transient performance analysis of a single server queuing model with retention of reneging customers

Authors

  • Rakesh Kumar Shri Mata Vaishno Devi University, Department of Mathematics, Katra Jammu and Kashmir, India
  • Sapana Sharma Shri Mata Vaishno Devi University, Department of Mathematics, Katra Jammu and Kashmir, India

DOI:

https://doi.org/10.2298/YJOR170415007K

Keywords:

transient performance analysis, mean and variance, probability generating function, reneging, probability of customers' retention

Abstract

In this paper, we study a single server queuing model with retention of reneging customers. The transient solution of the model is derived using probability generating function technique. The time-dependent mean and variance of the model are also obtained. Some important special cases of the model are derived and discussed. Finally, based on the numerical example, the transient performance analysis of the model is performed.

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Published

2018-08-01

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Section

Research Articles