An Algorithm for Computing Serial Correlations of Times in GI/G/1 Queues with Rational Arrival Processes
AbstractAn algorithm is given for computing the serial correlations of the waiting time, and of the time in system, for successive customers in a GI/G/1 queue. The method depends on representing the inter-arrival time distribution in terms of a process in class K r (i.e., distributions with a rational Laplace transform). Thus Erlang, hyperexponential and weighted sum-of-Erlang arrivals are treated exactly, and approximate results can be found for other distributions. Computed correlation functions for some Erlang/Erlang systems are presented as examples.
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Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 25 (1979)
Issue (Month): 1 (January)
autocorrelation function; general queue; waiting times; computation;
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