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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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Book ChapterDOI

Markov Queueing Models

TL;DR: A wide class of queueing models can be described by denumerable Markov chains with continuous time, though such a description demands imposing additional restrictions on governing sequences.
Proceedings ArticleDOI

Unveiling the resource consumption overhead of virtual machine consolidation in data centers

TL;DR: The overhead is defined as the resource consumption difference between the server and all the VMs running on it and it is theoretically and experimentally proved that under the realistic constrains, this overhead exists and remains steady with the increasing of consolidating VMs.
Book ChapterDOI

Theorie der Warteschlangen

TL;DR: In this paper, anforderungen an knappe Ressourcen (Sitzplatze, Maschinen, freie Stellen, Zapfsaulen etc.) stellen, kann man als ein Warteschlangen- oder Stauungssystem bezeichnen.
Journal ArticleDOI

Busy Period Control of Queues Based on Waiting Times at Arrivals

Leonard Shaw
- 01 Jun 1976 - 
TL;DR: This article presents results for optimal assignment of servers or rejection of customers, on the basis of arriving customers' waiting times wn, when the objective function is the mean of a control penalty plus a variable such as busy period duration, number served in a busy period, or total delay to all customers inA busy period.
Proceedings ArticleDOI

Performance of a cognitive p-persistent slotted Aloha protocol

TL;DR: A new analytical model for the SU's delay and throughput is proposed which, contrarily to the existing models, considers the effect of the duration of the PU's ON state in the SUs delay.