Journal ArticleDOI
Introduction to the Theory of Queues.
G. F. Newell,Lajos Takács +1 more
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This article is published in American Mathematical Monthly.The article was published on 1963-05-01. It has received 1042 citations till now. The article focuses on the topics: Fork–join queue & Queue.read more
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On the M/G/1 queue with D-policy
TL;DR: In this article, the M/G/1 queue with D-policy is considered, where the server is turned off at the end of a busy period and turned on when the cumulative amount of work firstly exceeds some fixed value.
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A mixed priority retrial queue with negative arrivals, unreliable server and multiple vacations
TL;DR: For a retrial queue accepting two types of positive customers and negative arrivals, mixed priorities, unreliable server and multiple vacations, stability conditions and the system state probabilities are investigated both in a transient and in a steady state.
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Approximating multi-skill blocking systems by hyperexponential decomposition
G.J. Franx,Ger Koole,Auke Pot +2 more
TL;DR: The overall blocking probability turns out to be approximated with high accuracy by several methods, however, the individual blocking probabilities per class are significantly more accurate for the method that is introduced in this paper.
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On a property of a refusals stream
TL;DR: In this paper, the authors provided a more elementary proof of the refusals stream for an M/GI/1/n queueing system discussed in Abramov (1991a).
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Analysis of a stochastic clearing system with repeated attempts
TL;DR: This paper develops a comprehensive analysis of the stochastic behavior of a single server clearing queue in which customers cannot be continuously in contact with the server, but can reinitiate the demand some time later.