A Batch Arrival Queue With a Second Optional Service Channel Under (m,N) Policy And Single Bernoulli Vacation

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Begum, M.I Afthab ; Fijy, P Jose ; Kalpana, K (2014)
  • Publisher: Journal of Engineering Computers & Applied Sciences
  • Journal: Journal of Engineering Computers & Applied Sciences (issn: 2319-5606, eissn: 2319-5606)
  • Subject: Applied Sciences; Department of Mathematics | Bi-level Threshold policy,Bulk arrival,Second Optional Service,Bernoulli Schedule,Supplementary variable technique

This paper analyses Bi-level Threshold policy for a bulk arrival queueing system with second optional service facility under Bernoulli Schedule Single vacation. It is assumed that the server may take vacation whenever the server completes service to a customer.Also,whenever the system becomes empty the server may take a longer vacation with different probability following different distributions.We derive the Probability Generating Functions of the system using supplementary variable technique.Moreover,some important performance measures of this model are also presented with some numerical examples
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