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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Simple spectral representations for the M/M/1 queue
Joseph Abate,Ward Whitt +1 more
TL;DR: This paper aims to provide a more unified view of the M/M/1 transient behavior and show how several different approaches are related.
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Extreme value distribution for the M/G/1 and the G/M/1 queueing systems
TL;DR: Gauthier-Villars as discussed by the authors implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions).
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The infinite server queue with semi-markovian arrivals and negative exponential services.
Marcel F. Neuts,Shun-Zer Chen +1 more
TL;DR: In this paper, the authors studied the queue with an infinite number of servers with a semi-Markovian arrival process and negative exponential service times, and the queuelength process and the type of the last customer to join the queue before time t are jointly, both in continuous and in discrete time.
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The analysis of queues by state-dependent parameters by Markov renewal processes
TL;DR: In this paper, the authors studied the asymptotic behavior of Markov renewal processes with auxiliary paths (MRPAP's) in the GI/M/1 queue.
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Some Results for Large Closed Queueing Networks with and without Bottleneck: Up- and Down-Crossings Approach
TL;DR: The paper provides the up- and down-crossing method to study the asymptotic behavior of queue-length and waiting time in closed Jackson-type queueing networks and shows that, as the number of customers in network increases to infinity, the network is decomposed to independent single-server queueing systems.