Batch Markovian Arrival Processes (BMAP) (PREPRINT)

机译：批量马尔可夫抵达过程（Bmap）（pREpRINT）

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This article describes the batch Markovian arrival process (BMAP), a point process that is characterized by Markov-modulated batch arrivals of random size. The BMAP is a generalization of many well-known processes including the Markovian arrival process (MAP), the Poisson process, and the Markov-modulated Poisson process. It provides a common framework for modeling arrival processes in a variety of applications. We formally define the continuous- and discrete-time BMAP, review a few basic results for each, and show how these processes generalize many common point processes. Additionally, we provide suggestions for further reading on the subject.

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Cordeiro, J. D.; Kharoufeh, J. P.;
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年度 2011
页码 1-14
总页数 14
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Markov processes ; Numerical methods and procedures ; Poisson equation ; Operations research ; Batch processing;

机译：马尔可夫过程;数值方法和程序;泊松方程;运筹学;批处理;

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专利

1. Joint arrival process of multiple independent batch Markovian arrival processes [J] . Jianyu Cao, Weixin Xie Statistics & Probability Letters . 2018,第期

机译：联合到达多个独立批量马尔可夫到达过程的过程
2. Elucidating the Short Term Loss Behavior of Markovian-Modulated Batch-Service Queueing Model with Discrete-Time Batch Markovian Arrival Process [J] . Yung-ChungWang, Dong-LiangCai, Li-HsinChiang, Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第3期

机译：用离散时间批马尔可夫到达过程阐明马尔可夫调制的批服务排队模型的短期损失行为
3. A vacation queue with setup and close-down times and batch Markovian arrival processes [J] . Zhisheng Niu, Tao Shu, Yoshitaka Takahashi Performance Evaluation . 2003,第3期

机译：带有设置和关闭时间以及批马尔可夫到达过程的休假队列
4. Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes [C] . Kofman, D., Korezlioglu, Global Telecommunications Conference, 1993, including a Communications Theory Mini-Conference. Technical Program Conference Record, IEEE in Houston. GLOBECOM '93., IEEE . 1993

机译：具有异构批处理马尔可夫到达过程的有限缓冲区队列中的损失概率，延迟和抖动分布
5. Analysis of a time-limited polling system with Markovian arrival process and phase-type service. [D] . Frigui, Imed. 1997

机译：具有Markovian到达过程和阶段型服务的限时轮询系统分析。
6. Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir [O] . Dong Wang, Ai-Jun Huang, Ross D. Hoehn, -1

机译：结构化储层下马尔可夫过程和非马尔可夫过程的熵不确定关系
7. (Batch) Markovian arrival processes: the identifiability issue and other applied aspects [O] . Rodríguez César Joanna Virginia 2015

机译：（批量）马尔可夫抵达过程：可识别性问题和其他应用方面

Batch Markovian Arrival Processes (BMAP) (PREPRINT)

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