Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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APPROXIMATE ANALYSIS OF M/M/c RETRIAL QUEUE WITH SERVER VACATIONS

  • SHIN, YANG WOO (DEPARTMENT OF STATISTICS, CHANGWON NATIONAL UNIVERSITY) ;
  • MOON, DUG HEE (SCHOOL OF INDUSTRIAL AND NAVAL ARCHITECTURE ENGINEERING, CHANGWON NATIONAL UNIVERSITY)
  • Received : 2015.04.30
  • Accepted : 2015.10.30
  • Published : 2015.12.25
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Abstract

We consider the M/M/c/c queues in which the customers blocked to enter the service facility retry after a random amount of time and some of idle servers can leave the vacation. The vacation time and retrial time are assumed to be of phase type distribution. Approximation formulae for the distribution of the number of customers in service facility and the mean number of customers in orbit are presented. We provide an approximation for M/M/c/c queue with general retrial time and general vacation time by approximating the general distribution with phase type distribution. Some numerical results are presented.

Keywords

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