The Study of Equilibrium Strategies of the
Unobservable Markovian Queue with Redundant
Server for Balking and Delayed Repair

Preeti Gautami Dubey; Dr. R. K. Shrivastava

doi:https://doi.org/10.14445/22315373/IJMTT-V67I2P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P519

The Study of Equilibrium Strategies of the Unobservable Markovian Queue with Redundant Server for Balking and Delayed Repair

Preeti Gautami Dubey, Dr. R. K. Shrivastava

Abstract

Senlin and Zaiming (2016) [21] studied the equilibrium strategies for the fully unobservable and almost unobservable single-server queues with breakdowns and delayed repairs. The present paper aims to study the customers behavior of the system in markovian single server queue with presence of redundant server. Redundant server is an extra server which is used in our model so that the system provides a reliable working facility to the customer. In unobservable case an arriving customer does not know length of queue. The model under consideration can be observed as an M / M /1 queue in a casual environment. Equilibrium balking strategies in single server markovian queue with redundant server are calculated for the almost unobservable and fully unobservable queues. Finally, we demonstrate the effect of several system parameters on the equilibrium behavior.

Keywords

Equilibrium, Markovian queue, Queueing Theory, Redundant, Unobservable queue.

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Citation :

Preeti Gautami Dubey, Dr. R. K. Shrivastava, "The Study of Equilibrium Strategies of the Unobservable Markovian Queue with Redundant Server for Balking and Delayed Repair," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 130-139, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P519