'c Policy' Batch Service Queueing System under Bernoulli Scheduled Vacation and Manual Service

’c Policy’ Batch Service Queueing System

Authors

  • Sahana P Research scholar
  • Baburaj Department of Statistics, Govt. College, Kasaragod

Keywords:

Discrete time-arrival and service, Single and Batch Service Queue, Control Limit Policy, Reneging, Vacation interruption, Geometric distribution

Abstract

This paper describes discrete-time single arrival and single-batch service queue with reneging and vacation interruption, under policy 'c'.The system activates when the queue size reaches a predetermined point 'c' and serves all the units in a batch. if there is a queue size less than 'c', either server switches to manual service with the probability 'p', or the server takes a vacation with probability '(1-p)'. Once it starts manual service or takes a vacation, the same continues up to the queue size reaches 'c'. The inter-arrival and service time are considered to be independent and geometrically distributed.

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Published

2023-03-31

How to Cite

1.
Sahana P, Baburaj C. ’c Policy’ Batch Service Queueing System under Bernoulli Scheduled Vacation and Manual Service: ’c Policy’ Batch Service Queueing System. JKSA [Internet]. 2023 Mar. 31 [cited 2024 Apr. 15];33(1):71-87. Available from: https://ojs.ksa.org.in/index.php/JKSA/article/view/41

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Articles