A note on Infinite-Server Markov modulated and Single-Server retrial Queues

نویسندگان

  • Zhe Duan
  • Melike Baykal-Gursoy
چکیده

We reconsider the M/M/∞ queue with two-state Markov modulated arrival and service processes and the singleserver retrial queue analyzed in Keilson and Servi [1]. Fuhrmann and Cooper type stochastic decomposition holds for the stationary occupancy distributions in both queues ([1] and [2]). The main contribution of the present paper is the derivation of the explicit form of the stationary system size distributions. Numerical examples are presented visually exhibiting the effect of various parameters on the stationary distributions.

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عنوان ژورنال:
  • APJOR

دوره 31  شماره 

صفحات  -

تاریخ انتشار 2014