A queuing model for due date control in a multiserver repair shop

A queuing model for due date control in a multiserver repair shop
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多服务器维修店中用于到期日期控制的排队模型

DOI:
10.1002/nav.8
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发表时间:
2001
期刊:
影响因子:
--
通讯作者:
J. van der Wal
J. van der Wal
中科院分区:
--
文献类型:
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作者:
J. Keizers;I. Adan;J. van der Wal

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本文研究了一个具有多台并行服务器的维修车间,该维修车间必须进行有计划的大修。每次大修都包括大量的维护工作。检修过程被随机到达的紧急工作中断。为了控制大修的交付性能,应该了解大修的最大完工时间分布。利用二维马尔可夫模型,在所有大修作业的维修时间均服从指数分布的情况下,解析地得到了大修完工时间的一阶矩和二阶矩。对于不同的维修时间分布的情况下,一个近似。仿真结果表明,在这些时刻拟合的完工时间分布给出了一个很好的近似。© John Wiley & Sons,Inc.海军研究后勤48:281-282,2001年
This paper deals with a repair shop with multiple parallel servers, which has to carry out planned overhauls. Each overhaul consists of a large number of maintenance jobs. The overhaul process is interrupted by randomly arriving emergency jobs. To control the delivery performance of the overhauls, knowledge about the overhaul makespan distribution should be available. Using a 2‐dimensional Markov model, we derive the first and second moment of the overhaul makespan analytically for the case that the repair times of all overhaul jobs are identically and exponentially distributed. For the case of nonidentical repair time distributions, an approximation is presented. Simulation shows that the makespan distribution fitted on these moments gives an excellent approximation. © John Wiley & Sons, Inc. Naval Research Logistics 48: 281–282, 2001