Analysis of the discrete-time bulk-service queue Geo/GY/1/N+B

  • Authors:
  • Mohan L. Chaudhry;Seok Ho Chang

  • Affiliations:
  • Department of Mathematics and Computer Sciences, Royal Military College of Canada, P.O. Box 17000, STN Forces, Kingston Ont., Canada K7K 7B4;Laboratory for Manufacturing and Productivity, 35-436, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 2004

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Abstract

This paper considers a discrete-time bulk-service queueing system with variable capacity, finite waiting space and independent Bernoulli arrival process: Geo/G^Y/1/N+B. Both the analytic and computational aspects of the distributions of the number of customers in the queue at post-departure, random and pre-arrival epochs are discussed.