Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ASYMPTOTIC ANALYSIS OF THE LOSS PROBABILITY IN THE GI/PH/1/K QUEUE

  • Kim Jeong-Sim (Department of Mathematics Education, College of Education, Chungbuk National University)
  • Published : 2006.09.01

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Abstract

We obtain an asymptotic behavior of the loss probability for the GI/PH/1/K queue as K tends to infinity when the traffic intensity p is strictly less than one. It is shown that the loss probability tends to 0 at a geometric rate and that the decay rate is related to the matrix generating function describing the service completions during an interarrival time.

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