The Covariance Structure of the Departure Process: GI/M/1 and M/G/1 Queues

Formulae, suitable for computation, for the lag n autocorrelation of departure intervals in the GI/M/1 queues are developed for n=1 to 6. A generating function, comparable to the one known for the M/G/1 case, is found for GI/M/1. For the E sub k M/1 and M/E sub k/1 queues, expressions for arbitrary...

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Bibliographic Details
Main Author: Gustafson,Nancy
Format: Report
Language:English
Subjects:
AUTOCORRELATION
COMPUTATIONS
COVARIANCE
INTERVALS
NETWORK FLOWS
Operations Research
QUEUEING THEORY
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Summary:Formulae, suitable for computation, for the lag n autocorrelation of departure intervals in the GI/M/1 queues are developed for n=1 to 6. A generating function, comparable to the one known for the M/G/1 case, is found for GI/M/1. For the E sub k M/1 and M/E sub k/1 queues, expressions for arbitrary lag are given. Tables and the APL functions used to produce them are provided for E sub k/M/1, H/M/1, and M/E sub k/1. (Author)