OPTIMAL CONTROL AND PERFORMANCE ANALYSIS OF AN M~x/M/1 QUEUE WITH BATCHES OF NEGATIVE CUSTOMERS

JESUS R. ARTALEJO; ANTONIS ECONOMOU

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OPTIMAL CONTROL AND PERFORMANCE ANALYSIS OF AN M~x/M/1 QUEUE WITH BATCHES OF NEGATIVE CUSTOMERS

机译：带有负客户群的M〜x / M / 1队列的最优控制和性能分析

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摘要

We consider a Markov decision process for an M~x/M/1 queue that is controlled by batches of negative customers. More specif-ically, we derive conditions that imply threshold-type optimal policies, under either the total discounted cost criterion or the average cost criterion. The performance analysis of the model when it operates under a given threshold-type policy is also studied. We prove a stability condition and a complete stochastic comparison characterization for models operating under different thresholds. Exact and asymptotic results concerning the computation of the stationary distribution of the model are also derived.

机译：我们考虑由成批的负面客户控制的M〜x / M / 1队列的马尔可夫决策过程。更具体地说，我们在总折扣成本准则或平均成本准则下得出暗示阈值类型最优策略的条件。还研究了模型在给定阈值类型策略下运行时的性能分析。我们证明了在不同阈值下运行的模型的稳定性条件和完整的随机比较表征。还得出了关于模型平稳分布计算的精确和渐近结果。

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来源
《RAIRO Operation Research》 |2004年第2期|p.121-151|共31页
作者
JESUS R. ARTALEJO; ANTONIS ECONOMOU;
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作者单位

Department of Statistics and O.R., Faculty of Mathematics, Complutense University of Madrid, Madrid 28040, Spain;

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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
queueing; markov decision processes; negative customers; stationary distribution; stochastic comparison;

机译：排队;马尔可夫决策过程;负面客户;固定分布;随机比较;

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4. Performance Analysis of a Renewal Input Bulk Service Queue with Accessible and Non-accessible Batches [C] . Yesuf Obsie Mussa, P. Vijaya Laxmi Distributed computing and internet technology . 2010

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5. Performance analysis of a controlled database unit with single queue configuration subject to control delays with decision errors. [D] . Kussard, Michael. 2006

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6. Abusive Supervision Affective Commitment Customer Orientation and Proactive Customer Service Performance: Evidence From Hotel Employees in China [O] . Dexia Zang, Chang Liu, Yan Jiao 2021

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7. Optimal control and performance analysis of an M-X/M/1 queue with batches of negative customers\ud [O] . Artalejo, Jesús R., Economou, Antonis 2020

机译：具有一批负面客户的M-X / M / 1队列的最优控制和性能分析\ ud
8. The G/M/s/N Queue with Two Classes of Customers. Part I. A Parametric Analysis of System Performance. [R] . Bhat, U. N., Raju, S. N., Shalaby, M. A. 1975

机译：具有两类客户的G / m / s / N队列。第一部分系统性能的参数分析。

OPTIMAL CONTROL AND PERFORMANCE ANALYSIS OF AN M~x/M/1 QUEUE WITH BATCHES OF NEGATIVE CUSTOMERS

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