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On certain type of Queues in series

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  • Parkash Lal Maggu

Abstract

Summary This paper studies the steady‐state behaviour of a queueing system consisting of three servers S1, S2 and S3. Two types of units each requiring two phases of service arrive and form two queues Q1 and Q2 in‐front of the two servers S1 and S2, respectively, which attend to their first phase of service in order of arrival. On completion of the first phase the units discharged from these servers from a single queue Q3 in‐front of S3 for the phase 2 service. The various stochastic processes namely, the interrarrival times and the service times, have been assumed to be distributed exponentially. We derive for this queueing process an expression for the mean queue length and some particular cases thereof.

Suggested Citation

  • Parkash Lal Maggu, 1970. "On certain type of Queues in series," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 24(2), pages 89-97, June.
    • Handle: RePEc:bla:stanee:v:24:y:1970:i:2:p:89-97
    DOI: 10.1111/j.1467-9574.1970.tb00111.x
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