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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-1
Year of Publication : 2021
Authors : Sadhna Singh, R.K. Srivastava
  10.14445/22315373/IJMTT-V67I1P504

MLA

MLA Style: 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 67.1 (2021):21-28. 

APA Style: Sadhna Singh, R.K. Srivastava(2021). Markovian Queueing System for Bulk Arrival and Retrial Attempts with Multiple Vacation Policy  International Journal of Mathematics Trends and Technology, 21-28.

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.

Reference

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