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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A comparison of three random disciplines
Steven W. Fuhrmann,Ilias Iliadis +1 more
TL;DR: It turns out that the waiting time distributions for two of these disciplines are exactly the same, while the third discipline has strikingly different characteristics.
Journal ArticleDOI
Multichannel queueing systems with infinite waiting room and stochastic control
TL;DR: In this paper, the authors derived the limiting distributions of the actual and virtual waiting time of a multichannel queue with infinite waiting room, and derived a necessary and sufficient condition for its existence.
Book ChapterDOI
Explicit Probability Density Function for the Length of a Busy Period in an M/M/1/K Queue
Hideaki Takagi,A. M. K. Tarabia +1 more
TL;DR: In this paper, a closed-form explicit expression for the probability den sity function of the length of a busy period starting with i customers in an M/M/1/K queue, where K is the capacity of the system, is derived.
Journal ArticleDOI
Alternating priority queues with non-zero switch rule
TL;DR: Distributions of busy periods and waiting times are studied and the difficulties to obtain an explicit analytic expression for the mean waiting time are pointed out.
Journal ArticleDOI
Heavy-traffic asymptotics for networks of parallel queues with Markov-modulated service speeds
TL;DR: In this paper, the authors study a network of parallel single-server queues, where the speeds of the servers are varying over time and governed by a single continuous-time Markov chain, and obtain heavy traffic limits for the distributions of the joint workload, waiting-time and queue length processes.