Performance analysis of a renewal input bulk service queue with accessible and non-accessible batches

  • Authors:
  • Yesuf Obsie Mussa;P. Vijaya Laxmi

  • Affiliations:
  • Department of Mathematics, Andhra University, Visakhapatnam, India;Department of Applied Mathematics, Andhra University, Visakhapatnam, India

  • Venue:
  • ICDCIT'10 Proceedings of the 6th international conference on Distributed Computing and Internet Technology
  • Year:
  • 2010

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Abstract

Batch service queues have been discussed extensively over the last several years and applied in the areas of transportation systems, telecommunication systems and computer operating systems, see Neuts [1], Chaudhry and Templeton [2], Medhi [3], etc. In accessible batch service queues, the arriving customers will be considered for service with current batch service in progress with some limitation. The concept of accessibility into batches during service has been considered by Gross and Harris [4], Kleinrock and [5]. The infinite buffer queue with accessible and non-accessible batch service rule has been studied by Sivasamy [6], wherein the arrivals and services are exponentially distributed. A similar model with finite and infinite buffer in discrete-time case has been studied by Goswami et al. [7].