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2002

An M/G/1 queue with Markov-dependent exceptional service times

13 years 9 months ago
An M/G/1 queue with Markov-dependent exceptional service times
This paper considers an M/G/1 queue in which service time distributions in each busy period change according to a finite state Markov chain, embedded at the arrival instants of customers. It is assumed that this Markov chain has an upper triangular transition matrix. Applying the regenerative cycle approach with respect to a busy period, we obtain the Laplace-Stieltjes transform, i.e., LST, of the stationary waiting time distribution in a certain parametric form. We give a procedure to determine those parameters. Some detailed calculations and numerical results are presented as well.
Tomoyuki Kodera, Masakiyo Miyazawa
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 2002
Where ORL
Authors Tomoyuki Kodera, Masakiyo Miyazawa
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