A note on M/G/ 1 vacation systems with waiting time limits
A note on M/G/ 1 vacation systems with waiting time limits
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DOI：
10.2307/1427557
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发表时间：
1990-06
影响因子：
1.2
通讯作者：
T. Takine;T. Hasegawa
中科院分区：
文献类型：
--
作者：
T. Takine;T. Hasegawa
考虑具有穷举服务和多个假期的M/G/1队列的两种变体；(1)顾客等待服务的时间不能超过T，(2)顾客在系统中停留的时间不能超过T。我们证明了这两个系统的等待时间的概率分布函数是对应的M/ G /1假期系统的等待时间的概率分布函数，没有任何停留时间限制。稳态分布；平均等待时间；虚拟等待时间；UPASD DOWNCROSSINGS
We consider two variants of M/G/1 queues with exhaustive service and multiple vacations; (1) customers cannot wait for their services longer than an interval of length T, and (2) customers cannot stay in the system longer than an interval of length T. We show that the probability distribution functions of the waiting times for the two systems are given in terms of those for the corresponding M/ G /1 vacation systems without any residence-time limits. STEADY STATE DISTRIBUTION; ACI'UAL WAITING TIME; VIRTUAL WAITING TIME; UPASD DOWNCROSSINGS