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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Fluid Limits for Bandwidth-Sharing Networks with Rate Constraints
TL;DR: This paper focuses on bandwidth-sharing networks with capacities and arrival rates of a large order of magnitude compared to transfer rates of individual flows, and extends previous work by Reed and Zwart on limit theorems for bandwidth- sharing networks with rate constraints.
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The backlog and depletion-time process for M / G /1 vacation models with exhaustive service discipline
Julian Keilson,Ravi Ramaswamy +1 more
TL;DR: In this article, the vacation model is studied in an M/G/1 queueing system in which the server attends iteratively to "secondary" or "vacation" tasks at "primary" service completion epochs, when the primary queue is exhausted.
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Steady state distribution for stochastic knapsack with bursty arrivals
TL;DR: Preliminary results indicate that the proposed technique for obtaining an approximate steady state occupancy distribution for a multiclass stochastic knapsack with bursty call arrivals, and exponential holding times is effective in studying theknapsack behavior.
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Semi-Regenerative Processes with Unbounded Rewards
TL;DR: The solution of the MRE is investigated using bounding functions in case the expected discounted return between two successive regeneration times of the MRP is not bounded as is the rule in many applications.
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Optimal nonlinear filter for signal-union-noise and runlength analysis in the directional one-dimensional discrete Boolean random set model
TL;DR: It is shown how a Boolean model is completely determined by probability distributions of these random variables by giving explicit formulas linking the marking probability of the Bernoulli process and the segment length distribution with the runlength distributions.