Transient Analysis of Batch Service Queue with Second Optional Service and Reneging

Authors

  • P. Vijaya Laxmi Associate Professor, Dept. of Applied Mathematics, Andhra University, Visakhapatnam 530003, India Author
  • Andwilile Abrahamu George PhD Scholar,Dept. of Applied Mathematics, Andhra University, Visakhapatnam 530003, India Author

DOI:

https://doi.org/10.47392/irjash.2020.185

Keywords:

Reneging, Second optional service, First essential service, Queue, Transient analysis

Abstract

This paper investigates a single server batch service queueing system with second optional service and reneging. The transient state probabilities of the queueing model are computed by using fourth-order Runge-Kutta method. Cost analysis is performed to determine the optimal values of the service rates of First Essential Service (FES) and Second Optional Service (SOS) simultaneously at the minimum total expected cost per unit time. Some important performance measures and numerical illustrations are provided in order to show the managerial intuitions of the model.

         

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Published

2020-10-28

Issue

Vol. 2 No. 10 (2020): IRJASH Vol.02 Issue 10-[OCT 2020]

Section

Research Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.