Finite-buffer bulk service queue under Markovian service process

  • Authors:
  • Abhijit Datta Banik;Umesh Chandra Gupta;Mohan L. Chaudhry

  • Affiliations:
  • INRIA, Rennes (IRISA), Rennes Cedex France;Indian Institute of Technology, Kharagpur, India;Royal Military College of Canada, Kingston Ont., Canada

  • Venue:
  • Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
  • Year:
  • 2007

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Abstract

We consider a single-server finite-buffer queue with renewal input and Markovian service process where server serves customers in batches according to general bulk service rule. Queue length distributions at pre-arrival and arbitrary epochs have been obtained along with some important performance measures such as, probability of blocking or loss of customers, mean queue lengths, mean waiting times, etc.