NDLI: Analytical solutions for state-dependent M/M/c/c+r retrial queues with Bernoulli abandonment

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Analytical solutions for state-dependent M/M/c/c+r retrial queues with Bernoulli abandonment

Content Provider	ACM Digital Library
Author	Kasahara, Shoji Phung-Duc, Tuan Takahashi, Yutaka Masuyama, Hiroyuki
Abstract	This paper considers a state-dependent M/M/c/c + r retrial queue with Bernoulli abandonment, where the number of servers is equal to c, the capacity of the buffer is equal to r and that of the virtual waiting room for retrial customers is infinite. We call the virtual waiting room by orbit hereafter. We assume that the arrival and service rates depend on the number of customers in the system (the servers and buffer). Such retrial queues cover conventional M/M/c/c retrial queues without abandonment, as special cases. By a continued fraction approach, we derive analytical solutions for the stationary joint distribution of the queue length in the system and that in the orbit, assuming that the capacity of the system is less than or equal to 4. We also show that our analytical solutions can be numerically computed with any accuracy.
Starting Page	1
Ending Page	8
Page Count	8
File Format	PDF
ISBN	9781605585628
DOI	10.1145/1626553.1626570
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2009-07-29
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Markov chain Three-term recurrence relations Abandonment Multiserver retrial queue Analytical solution Queueing theory Continued fractions
Content Type	Text
Resource Type	Article

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