Queues with semi-Markovian arrivals

Queues with semi-Markovian arrivals
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半马尔可夫到达的队列

DOI:
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发表时间:
1967
影响因子:
1
通讯作者:
E. Çinlar
E. Çinlar
中科院分区:
数学4区
文献类型:
--
作者:
E. Çinlar

文献摘要

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考虑了一个单服务器的排队系统。顾客的类型是有限的,连续到达的顾客类型构成一个马尔可夫链。此外,第n个到达间隔时间具有可以取决于第n个和第n-1个到达的类型的分布函数。研究了排队长度、等待时间和忙碌期过程。瞬态和限制的结果。
A queueing system with a single server is considered. There are a finite number of types of customers, and the types of successive arrivals form a Markov chain. Further, the nth interarrival time has a distribution function which may depend on the types of the nth and the n–1th arrivals. The queue size, waiting time, and busy period processes are investigated. Both transient and limiting results are given.