A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input of disasters

Dudin A; Semenova O

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A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input of disasters

机译：具有灾害马尔可夫到达输入的BMAP / SM / 1排队系统平稳分布计算的稳定算法。

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摘要

Disaster arrival into a queueing system causes all customers to leave the system instantaneously. We present a numerically stable algorithm for calculating the stationary state distribution of an embedded Markov chain for the BMAP/SM/l queue with a MAP input of disasters.

机译：灾难进入排队系统会导致所有客户立即离开系统。我们提出了一种数值稳定的算法，用于计算带有MAP输入的BMAP / SM / l队列的嵌入式Markov链的稳态分布。

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来源
《Journal of Applied Probability》 |2004年第2期|共10页
作者
Dudin A; Semenova O;
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正文语种 eng
中图分类应用数学;
关键词
BMAP/SM/1-type queue; disaster; censored Markov chain; stable algorithm;

机译：BMAP / SM / 1型队列灾害马尔可夫链删失稳定算法;

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专利

1. A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input of disasters [J] . Dudin A, Semenova O Journal of Applied Probability . 2004,第2期

机译：具有灾害马尔可夫到达输入的BMAP / SM / 1排队系统平稳分布计算的稳定算法。
2. A STABLE ALGORITHM FOR FINDING THE STATIONARY DISTRIBUTION OF A SERVICE SYSTEM WITH BATCH MARKOVIAN INPUT FLOW, STOREHOUSE, AND MARKOVIAN FLOW OF HETEROTYPICAL DISASTERS [J] . A. V. KAZIMIRSKY Automatic Control and Computer Sciences . 2005,第6期

机译：带有批处理马尔可夫输入流，仓库和马尔可夫流的服务系统的平稳分布的稳定算法
3. BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery [J] . A N.Dudin, A.V.Karolik Performance Evaluation . 2001,第1期

机译：BMAP / SM / 1队列，具有马尔科夫式的灾难和非即时恢复输入
4. Queueing system with passive servers, BMAP-input of customers and markovian input of breakdowns [C] . Vladimir V. Borokhovsky, Alexander N. Dudin, Valentina I. Klimenok European Simulation Symposium 2000(ESS'2000); 20000928-20000930; Hamburg; DE . 2000

机译：带有被动服务器的排队系统，客户的BMAP输入和细分的马尔科夫输入
5. Comparative performance evaluation of TCP over input-queued and output-queued ATM switches using scheduling algorithms. [D] . Mandalika, Sirish. 2001

机译：使用调度算法对输入排队和输出排队的ATM交换机上TCP的比较性能评估。
6. Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution [O] . Regina Finsterhölzl, Manuel Katzer, Andreas Knorr, 2020

机译：使用Matrix-Master状态用于开放量子的多体系统：Markovian和非马尔可维亚时演变的有效算法
7. Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues [O] . Chen, Anyue, Li, Junping, Hou, Zhenting, 2010

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A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input of disasters

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