A STABLE ALGORITHM FOR FINDING THE STATIONARY DISTRIBUTION OF A SERVICE SYSTEM WITH BATCH MARKOVIAN INPUT FLOW, STOREHOUSE, AND MARKOVIAN FLOW OF HETEROTYPICAL DISASTERS

A. V. KAZIMIRSKY

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A STABLE ALGORITHM FOR FINDING THE STATIONARY DISTRIBUTION OF A SERVICE SYSTEM WITH BATCH MARKOVIAN INPUT FLOW, STOREHOUSE, AND MARKOVIAN FLOW OF HETEROTYPICAL DISASTERS

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

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摘要

A BMAP/G/1 system with warehouse and Markovian flow of heterotypical disasters is considered. A stable algorithm for calculating the stationary distribution of the number of customers in the system and the proportion of already serviced customers is proposed.

机译：考虑了具有仓库和非典型灾难的马尔可夫流的BMAP / G / 1系统。提出了一种稳定的算法，用于计算系统中客户数量和已服务客户比例的平稳分布。

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来源
《Automatic Control and Computer Sciences》 |2005年第6期|共9页
作者
A. V. KAZIMIRSKY;
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正文语种 eng
中图分类自动控制理论;
关键词
Queueing system with warehouse; Back-up servicing; Disaster; Markovian batch flow of customers; Markovian flow of heterotypical customers;

机译：带仓库的排队系统;后勤服务;灾难;客户的马尔可夫批流;异型客户的马尔可夫流;

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1. 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
2. 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。
3. STABLE ALGORITHM FOR COMPUTING THE STATIONARY DISTRIBUTION OF QUEUEING SYSTEM BMAP|SM|1 WITH MARKOV FLOW OF DISASTERS AND TWO OPERATION MODES [J] . O. V. SEMENOVA Automatic Control and Computer Sciences . 2004,第1期

机译：用灾害马尔可夫流和两种操作模式计算排队系统BMAP | SM | 1的稳态分布的稳定算法。
4. A Batch-Service Queueing Model with a Discrete Batch Markovian Arrival Process [C] . Dieter Claeys, Joris Walraevens, Koenraad Laevens, Analytical and stochastic modeling techniques and applications . 2010

机译：具有离散批马尔可夫到达过程的批服务排队模型
5. Stability analysis of jump-linear systems driven by finite-state machines with Markovian inputs. [D] . Patilkulkarni, Sudarshan S. 2004

机译：具有马尔可夫输入的有限状态机驱动的跳跃线性系统的稳定性分析。
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

机译：停止的马尔可夫大批进货和大批服务队列的衰减特性和准平稳分布

A STABLE ALGORITHM FOR FINDING THE STATIONARY DISTRIBUTION OF A SERVICE SYSTEM WITH BATCH MARKOVIAN INPUT FLOW, STOREHOUSE, AND MARKOVIAN FLOW OF HETEROTYPICAL DISASTERS

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