Affiliation:
1. Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
Abstract
The transient solution is obtained analytically using continued fractions for a state-dependent birth-death queue in which potential customers are discouraged by the queue length. This queueing system is then compared with the well-known infinite server queueing system which has the same steady state solution as the model under consideration, whereas their transient solutions are different. A natural measure of speed of convergence of the mean number in the system to its stationarity is also computed.
Funder
Council for Scientific and Industrial Research
Subject
General Engineering,General Mathematics
Cited by
19 articles.
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