Indian Journal of Science and Technology
Year: 2021, Volume: 14, Issue: 9, Pages: 801-809
1Assistant Professor, Department of Statistics, Gauhati University, Tel.: 9864101261
Received Date:22 December 2021, Accepted Date:05 March 2021, Published Date:22 March 2021
Objectives: Stochastic modeling of M/M/c/k queuing system in the presence of Position dependent reneging (PDR) and state dependent balking (SDB) along with closed form expression of various performance measures. Methods: Markov process and probability generating functions (pgf) are used. Findings: Closed form expression of a number of traditional as well as newly designed performance measures are derived along with explicit derivation of the steady state probabilities of the model. Novelty: Analysis of finite buffer multi server Markovian queuing model in the presence of balking and reneging.
Keywords: Queue; finite buffer; multiserver; reneging; balking; impatience
© 2021 Medhi.This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)
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