On a finite-buffer bulk-service queue with disasters

Gomez-Corral A

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On a finite-buffer bulk-service queue with disasters

机译：在发生灾难的有限缓冲区批量服务队列上

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We deal with a finite-buffer bulk-service queue with disasters. The arrival streams of units and disasters are Markovian arrival processes (MAPs). We study the stationary distribution of the embedded Markov chain at post-departure epochs. The block structure allows us to derive a general approach amenable to numerical calculation following results of the theory for censored Markov chains and level-dependent quasi-birth-and-death processes. We give tractable analytical formulas for the departure process and the stationary distributions of the system state at arbitrary and pre-arrival epochs. The effect of the disaster stream on certain probabilistic descriptors is graphically illustrated.

机译：我们处理有灾难的有限缓冲区批量服务队列。单位和灾难的到达流是马尔可夫到达过程（MAP）。我们研究了出发后时期嵌入式马尔可夫链的平稳分布。块结构使我们能够遵循审查马尔可夫链理论和与水平相关的准生死过程的理论结果，得出适用于数值计算的一般方法。我们给出了在任意和到达前时期的离开过程和系统状态的平稳分布的易处理的解析公式。以图形方式说明了灾难流对某些概率描述符的影响。

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来源
《Mathematical methods of operations research》 |2005年第1期|共28页
作者
Gomez-Corral A;
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正文语种 eng
中图分类数学;
关键词
bulk-service; censored Markov chain; clearing; disasters; finite-buffer queue; Markovian arrival process (MAP); quasi-birth-and-death process (QBD); SINGLE-SERVER QUEUE; M/G/1 QUEUES; CUSTOMERS; NETWORKS;

机译：批量服务;经过审查的马尔可夫链;清除;灾难;有限缓冲区队列;马尔可夫到达过程（MAP）;准生死过程（QBD）;单服务器队列;M / G / 1队列;客户;网路;

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专利

1. On a finite-buffer bulk-service queue with disasters [J] . Gomez-Corral A Mathematical methods of operations research . 2005,第1期

机译：在发生灾难的有限缓冲区批量服务队列上
2. Analysis of finite-buffer bulk-arrival bulk-service queue with variable service capacity and batch-size-dependent service: M~X /G_r~Y /1/N [J] . A. Banerjee, U.C. Gupta, K. Sikdar International journal of mathematics in operational research . 2013,第3期

机译：具有可变服务能力和批次大小相关服务的有限缓冲区批量到达批量服务队列分析：M〜X / G_r〜Y / 1 / N
3. Reducing congestion in bulk-service finite-buffer queueing system using batch-size-dependent service [J] . A. Banerjee, U.C. Gupta Performance Evaluation . 2012,第1期

机译：使用批量大小相关的服务减少批量服务有限缓冲区排队系统中的拥塞
4. Numerical Method for the Single-Server Bulk-Service Queuing System with Variable Service Capacity, M/Gy/1, with Discretizecl Service Time Probability Distribution [C] . Mejia-Tellez International Conference on Operations Research . 2006

机译：具有可变业务容量的单服务器批量服务排队系统的数值方法，M / GY / 1，具有判模服务时间概率分布
5. Analysis of random access methods over fading channels for finite-user finite-buffer systems. [D] . Rasool, Shahzada Basharat. 2004

机译：有限用户有限缓冲系统在衰落信道上的随机访问方法分析。
6. Modeling Relief Demands in an Emergency Supply Chain System under Large-Scale Disasters Based on a Queuing Network [O] . Xinhua He, Wenfa Hu -1

机译：基于排队网络的大规模灾害应急供应链系统救灾需求建模
7. 9. Queues, storage and inventories A general class of bulk-service queue in discrete time [O] . Borthakur A. 1984

机译：9.队列，存储和库存离散时间的一般类批量服务队列
8. Loss Probabilities in Batch-Arrival Bulk-Service Queues with Finite Capacity [R] . Vanommeren, J. C. W. 1992

机译：具有有限容量的批次到达批量服务队列中的丢失概率

On a finite-buffer bulk-service queue with disasters

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