On queueing with customer impatience until the beginning of service |
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Authors: | Movaghar Ali |
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Institution: | (1) Department of Computer Engineering, Sharif University of Technology, Tehran, Iran |
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Abstract: | We study queueing systems where customers have strict deadlines until the beginning of their service. An analytic method is
given for the analysis of a class of such queues, namely,
models. These are queues with state-dependent Poisson arrival process, exponential service times, multiple servers, FCFS
service discipline, and general customer impatience. The state of the system is viewed to be the number of customers in the
system. The principal measure of performance is the probability measure induced by the offered waiting time. Other measures
of interest are the probability of missing deadline and the probability of blocking. Closed-form solutions are derived for
the steady-state probabilities of the state process and some important modeling variables and parameters. The efficacy of
our method is illustrated through a numerical example.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | queue impatient customers deadline state-dependent Poisson process |
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