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Decomposition and Customer Streams of Feedback Queueing Networks in Equilibrium.

机译：平衡反馈排队网络的分解与客户流。

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摘要

P. J. Burke and E. Reich independently showed the output of a M/M/1 queue in equilibrium to be a Poisson process. Consequently, analysis of tandem exponential servers with a Poisson input stream can be reduced to consideration of a series of M/M/1 queues. This work generalizes the above results to so-called Jackson networks, which consists of exponential servers with mutually independent Poisson exogenous inputs and random customer routings permitting customer feedback. The authors prove that traffic on all exit arcs is Poisson; moreover, the customer streams leaving any exit set are mutually independent.

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作者
Beutler, F. J.; Melamed, B.;
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年度 1975
页码 1-29
总页数 29
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Queueing theory; Network flows; Markov processes; Inequalities; Theorems; M/M/1 queue; Poisson processes;

机译：排队论;网络流;马尔可夫过程;不等式;定理; m / m / 1队列;泊松过程;

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专利

1. Decomposition of Queueing Networks with Dependent Service and Negative Customers [J] . P. P. Bocharov, E. V. Gavrilov, C. DApice, Automation and Remote Control . 2004,第1期

机译：具有相关服务和负客户的排队网络的分解
2. Decomposition of general queueing networks with MMPP inputs and customer losses [J] . Armin Heindl Performance Evaluation . 2003,第2a4期

机译：具有MMPP输入和客户损失的一般排队网络的分解
3. Decomposing the queue length distribution of processor-sharing models into queue lengths of permanent customer queues [J] . Sing-Kong Cheung, Hans van den Berg, Richard J. Boucherie Performance Evaluation . 2005,第1a4期

机译：将处理器共享模型的队列长度分布分解为永久客户队列的队列长度
4. A Riemann-Hilbert boundary value problem for single-server systems with two queues for blocked and feedback customers [C] . Ioannis Dimitriou, Tuan Phung-Duc International Conference of Numerical Analysis and Applied Mathematics . 2018

机译：具有两个队列的单服务器系统的RIEMANN-HILBERT边值问题，包括阻塞和反馈客户
5. Feedback based real-time MAC (RT-MAC) protocol for data packet streaming in wireless sensor networks. [D] . Singh, Brajendra Kumar. 2010

机译：基于反馈的实时MAC（RT-MAC）协议，用于无线传感器网络中的数据包流传输。
6. From Single-Cell Genetic Architecture to Cell Population Dynamics: Quantitatively Decomposing the Effects of Different Population Heterogeneity Sources for a Genetic Network with Positive Feedback Architecture [O] . Nikos V. Mantzaris 2007

机译：从单细胞遗传架构到细胞种群动态：定量分解具有正反馈架构的遗传网络的不同种群异质性源的影响
7. Decomposition of General Queueing Networks with MMPP Inputs and Customer Losses [O] . Armin Heindl 2000

机译：具有MMPP输入和客户损失的通用排队网络的分解
8. Decomposition and Customer Streams of Feedback Networks of Queues in Equilibrium [R] . Beutler, F. J., Melamed, B. 1976

机译：平衡队列反馈网络的分解与客户流

Decomposition and Customer Streams of Feedback Queueing Networks in Equilibrium.

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