The Sum of Serial Correlations of Waiting and System Times in GI / G /1 Queues

B. Pagurek and C. M. Woodside
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B. Pagurek: Carleton University, Ottawa, Ontario
C. M. Woodside: Carleton University, Ottawa, Ontario

Operations Research, 1979, vol. 27, issue 4, 755-766

Abstract: We develop an expression for the sum of the serial correlation coefficients for time in system or waiting time for successive customers in a GI / G /1 queue. In our approach the interarrival time distribution is represented in terms of a class K r distribution with a rational Laplace-Stieltjes transform. Thus Erlang, hyperexponential, and weighted sum-of-Erlang arrivals are treated exactly and approximate results can be found for other distributions. We present computed results for some Erlang/Erlang systems.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:27:y:1979:i:4:p:755-766

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