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Journal ArticleDOI

Introduction to the Theory of Queues.

G. F. Newell, +1 more
- 01 May 1963 - 
- Vol. 70, Iss: 5, pp 586
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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.

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Iterative Probabilistic Performance Prediction for Multi-Application Multiprocessor Systems

TL;DR: A new technique to accurately predict the performance of multiple applications mapped on a multiprocessor platform using Iterative probabilistic analysis is presented, which is much faster and scalable, while still improving the accuracy.
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Tandem Queues with Impatient Customers for Blood Screening Procedures

TL;DR: In this paper, the authors study a blood testing procedure for detecting viruses like HIV, HBV and HCV, where the two test phases of blood samples are modeled as services in two queues in series.
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The distribution of the maximum number of customers present simultaneously during a busy period for the queueing systems M/G/1 and G/M/1

TL;DR: In this article, the service time of the customer arriving at a given location was assumed to be independent and identically distributed with distribution function B(t) with the assumption that all interarrival times and service times are independent.
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Computing steady state probabilities in l( n )/G/1/ K queue

TL;DR: A recursive method is developed to obtain the steady state probability distribution of the number in system at arbitrary and departure time epochs of a single server state-dependent arrival rate queue λ (n)/G/1/K in which the arrival process is Markovian with arrival rates λ(n) which depend on the number of customers n in the system and general service time distribution.
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Non-linear Shot Noise: Lévy, Noah, & Joseph

TL;DR: In this paper, a generic non-linear shot-noise system model is proposed, where shots of random magnitudes arrive to the system stochastically, following an arbitrary time-homogeneous Poisson point process.