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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Reliability analysis of m/g/1 queueing systems
Wei Li,Dinghua Shi,Xiuli Chao +2 more
TL;DR: Using a supplementary variable method, a transient solution is obtained for both queueing and reliability measures of interest in an MIGI1 queue with Bernoulli vacations and server breakdowns.
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On up- and downcrossings
TL;DR: In this article, the authors investigated the properties of the number of up-and down-crossings of the stationary virtual waiting-time process of the GI/G/1 queueing system during a busy cycle.
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Stochastic models for single neuron firing trains: a survey.
TL;DR: It follows that the uniform distribution is not n-divisible for any n though it is decomposable in many ways (see e.g., [2], [3] for references).
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Choosing a Good Appointment System-A Study of Queues of the Type D, M, 1
TL;DR: A queuing system with exponentially distributed service times and constant interarrival times is studied for the case with one service station and it is shown how its mean may be minimized by proper choices of the constant interArrival time and the initial numbers of customers in the queue.
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On the Traffic-light Queue
TL;DR: In this paper, a formal solution for the stationary distribution of queue-length at a fixed-cycle traffic light is found for a fairly general distribution of arrivals and for a single stream of vehicles which either all turn left or else all go straight on or turn right.