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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Busy Period Analysis of \(\textit{GI/G/c}\) and \(\textit{MAP/G/c}\) Queues
TL;DR: In this paper, a number of approaches using complex analysis, combinatorics, lattice path, and matrix-analytic methods have been applied to study some selected queueing models.
Journal ArticleDOI
Modeling and Analyzing Waiting Policies for Cloud-Enabled Schedulers
TL;DR: This article introduces the concept of a waiting policy for cloud-enabled schedulers and shows that the optimal cost depends on it, and evaluates the impact of different waiting policies on a real year-long batch workload.
Book ChapterDOI
Workload analysis of a two-queue system by formulating a boundary value problem
TL;DR: In this paper, a nouveau protocole de communication is proposed, which realizes l'insertion of messages speciaux dans un flot de messages reguliers.
Book ChapterDOI
On an Extremal Problem Arising in Queueing Theory and Telecommunications
TL;DR: In this article, the problem of maximal time congestion is considered for the multiserver loss system with general arrival, and the problem is reduced to showing that a complicated rational function has a unique turning point.
Journal ArticleDOI
Applications of derived Markov chains in queueing theory
TL;DR: The study illustrates the application of the theory of derived Markov chains to queueing problems by studying the queueing problem with one server, arbitrary service time distribution and with group arrival of the customers.