带有缓冲器串行生产线的Harris链结构分析

金星;邓述慧

系统科学与数学 ›› 1996, Vol. 16 ›› Issue (3) : 204-210.

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系统科学与数学 ›› 1996, Vol. 16 ›› Issue (3) : 204-210. DOI: 10.12341/jssms09191
论文

带有缓冲器串行生产线的Harris链结构分析

    金星(1);邓述慧(2)
作者信息 +

THE STRUCTURE ANALYSIS OF THE TANDEM PRODUCTION LINE WITH BUFFERS USING HARRIS MARKOV CHAIN

    Jin Xing(1);Deng Shuhui(2)
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摘要

本文以随机过程中的一类特殊的Markov链(Harris常返Markov链)为工具,研究离散事件动态系统(DEDS)中的典型情况之一:带有缓冲器的串行生产线.求得了各缓冲器中产品数的联合稳态分布,产品在各台机器上受阻时间的联合稳态分布,以及受阻时间的强大数定律和产品在各台机器加工完时刻的极限行为.

Abstract

The aim of the present paper is to investigate the tandem production line with buffers. By using Harris Markov chain we get the stationary joint distribution of product numbers in each buffer, the stationary joint distribution of blocking time of each product at each machine,and the law of strong large number of blocking time.

关键词

离散事件动态系统(DEDS) / Harris常返Markov

Key words

Discrete event dynamic system / Harris recurrent Markov chain / renewal process / regenerate process.

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金星 , 邓述慧. 带有缓冲器串行生产线的Harris链结构分析. 系统科学与数学, 1996, 16(3): 204-210. https://doi.org/10.12341/jssms09191
Jin Xing , Deng Shuhui. THE STRUCTURE ANALYSIS OF THE TANDEM PRODUCTION LINE WITH BUFFERS USING HARRIS MARKOV CHAIN. Journal of Systems Science and Mathematical Sciences, 1996, 16(3): 204-210 https://doi.org/10.12341/jssms09191
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