Analysis of the ΣàPhi/Ph/1 queue

Analysis of the ΣàPhi/Ph/1 queue

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Article ID: iaor1995362
Country: United States
Volume: 42
Issue: 1
Start Page Number: 158
End Page Number: 174
Publication Date: Jan 1994
Journal: Operations Research
Authors: ,
Abstract:

In this paper, the authors analyze a queue to which the arrival process is the superposition of separate arrival streams, each of whose interarrival time distributions is of phase type, and the service time distribution is also of phase type. The performance measures derived for this queue include: the distribution of the number in the system as seen by each customer class upon arrival, Laplace-Stieltjes transform of the waiting-time distribution for each customer class, stationary interdeparture time distribution and the lag correlation coefficients of the departure process, and characteristics of the tails of the waiting time and queue length distributions.

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