Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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THE M/G/1 QUEUE WITH MARKOV MODULATED FEEDBACK

  • Han, Dong-Hwan (Department of Mathematics, Sunmoon University) ;
  • Park, Chul-Geun (Department of Information Communications Engineering Sunmoon University)
  • Published : 1998.09.01

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Abstract

We consider the M/G/1 queue with instantaneous feed-back. The probabilities of feedback are determined by the state of the underlaying Markov chain. by using the supplementary variable method we derive the generating function of the number of customers in the system. In the analysis it is required to calculate the matrix equations. To solve the matrix equations we use the notion of Ex-tended Laplace Transform.

Keywords

References

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