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On queues with state-dependent Erlang service

✍ Scribed by Carl M. Harris

Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
349 KB
Volume
18
Category
Article
ISSN
0894-069X

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πŸ“œ SIMILAR VOLUMES

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✍ J. R. Callahan πŸ“‚ Article πŸ“… 1973 πŸ› John Wiley and Sons 🌐 English βš– 177 KB

## Abstract Sufficient conditions are developed for the ergodicity of a single server, first‐come‐first‐serve queue with waiting time dependent service times.

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This article shows how to determine the stationary distribution of the virtual wait in MiGil queues with either one-at-a-time or exhaustive server vacations, depending on either service times or accrued workload. For the first type of dependence, each vacation time is a function of the immediately p

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✍ Pengfei Guo; Paul Zipkin πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 86 KB

## Abstract This article generalizes the models in Guo and Zipkin, who focus on exponential service times, to systems with phase‐type service times. Each arriving customer decides whether to stay or balk based on his expected waiting cost, conditional on the information provided. We show how to com