OPTIMAL CONTROL FOR A BMAP/SM/1 QUEUE WITH MAP-INPUT OF DISASTERS AND TWO OPERATION MODES

OLGA V. SEMENOVA

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OPTIMAL CONTROL FOR A BMAP/SM/1 QUEUE WITH MAP-INPUT OF DISASTERS AND TWO OPERATION MODES

机译：具有灾难输入和两种操作模式的BMAP / SM / 1队列的最优控制

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A single-server queueing system with a batch Markovian arrival process (BMAP) and MAP-input of disasters causing all cus-tomers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.

机译：考虑具有批处理马尔可夫到达过程（BMAP）和灾难的MAP输入的单服务器排队系统，该灾难导致所有客户立即离开系统。系统有两种操作模式，具体取决于当前队列长度。得出了嵌入式和任意时间固定队列长度分布，并确定了最佳控制阈值策略。

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来源
《RAIRO Operation Research》 |2004年第2期|p.153-171|共19页
作者
OLGA V. SEMENOVA;
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作者单位

Laboratory of Applied Probabilistic Analysis, Faculty of Applied Mathematics and Computer Sciences, Belarus State University, 4 F. Skorina Ave., 220050 Minsk 50, Belarus;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类运筹学;
关键词
negative arrivals; BMAP/SM/1 queue; markovian arrival process of disasters; operation modes;

机译：负到达;BMAP / SM / 1队列;马尔可夫灾难的到达过程;运行方式;

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1. Optimal Hysteresis Control for BMAP/SM/1 Queue with MAP-Input of Disasters [J] . Olga V. Semenova Quality Technology and Quantitative Management . 2007,第3期

机译：具有灾难输入的BMAP / SM / 1队列的最佳滞后控制
2. 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。
3. The BMAP/SM/1 retrial queue with controllable operation modes [J] . B. D. Choi, Y. H. Chung, Alexander N. Dudin European Journal of Operational Research . 2001,第1期

机译：具有可控制操作模式的BMAP / SM / 1重试队列
4. Non-preemptive ∑_iD-BMAP_i/D/1/K queuing system modeling the frame transmission process over wireless channels [C] . D. Moltchanov, Y. Koucheryavy, J. Harju International Teletraffic Congress(ITC19); 20050829-0902; Beijing(CN) . 2005

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7. Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes [O] . Semenova Olga V. 2004

机译：具有灾难输入和两种操作模式的MAP输入的BMAP / SM / 1队列的最优控制
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OPTIMAL CONTROL FOR A BMAP/SM/1 QUEUE WITH MAP-INPUT OF DISASTERS AND TWO OPERATION MODES

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