Markovian Queueing System for Bulk Arrival and
Retrial Attempts with Multiple Vacation Policy

Sadhna Singh; R. K. Srivastava

doi:https://doi.org/10.14445/22315373/IJMTT-V67I1P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 1 | Year 2021 | Article Id. IJMTT-V67I1P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I1P504

Markovian Queueing System for Bulk Arrival and Retrial Attempts with Multiple Vacation Policy

Sadhna Singh, R. K. Srivastava

Citation :

Sadhna Singh, R. K. Srivastava, "Markovian Queueing System for Bulk Arrival and Retrial Attempts with Multiple Vacation Policy," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 1, pp. 21-28, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I1P504

Abstract

In this paper, we have considered a single server Markovian queueing system with idle server state, busy server state, vacation state, and breakdown and repair state. The vacation policy is multiple vacation policy and the vacation period follows exponential. This Markovian queueing model works with retrial attempts for the service completion and impatience behaviour of the customers. We determine the total probability of these states and give the comparison between the first come first serve and bulk service. We have also explains the various performance measures.

Keywords

Markovian queueing system, multiple vacation policy, impatience behaviour, bulk service.

References

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