Modelling and analysis of M/G^{a,b}/1/N queue – A simple alternative approach

  • Authors:
  • M. L. Chaudhry;U. C. Gupta

  • Affiliations:
  • Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada K7K 5L0 E-mail: chaudhry-ml@rmc.ca;Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India E-mail: umesh@maths.iitkgp.ernet.in

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 1999

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Abstract

In this paper, we consider a single-server finite-capacity queue with general bulk service rule where customers arrive according to a Poisson process and service times of the batches are arbitrarily distributed. The queue is analyzed using both the supplementary variable and imbedded Markov chain techniques. The relations between state probabilities at departure and arbitrary epochs have been presented in explicit forms.