学术
摘 要:
本文首次研究服务员具有多重休假规则的成批到达M^x/G/l排队系统的输出过程．应用更新过程理论、拉普拉斯-司梯阶变换和本文提出的直接概率分解分析法，讨论了从任意初始状态出发，系统在（O，t）时间内输出顾客的平均数，以及其渐近展开，得到一些重要结果．[著者文摘]
文章出处:
《应用数学》-2007年20卷3期 -478-484页
文献标识码:
A
文章编号:
1001-9847（2007）03-0478-07
The Departure Process for the M^X/G/1 Queueing System with Server Vacations
TANG Ying-hui. （School of Mathematics ＆ Software Science, Sichuan Normal University, Chengdu 610066, China）
Abstract:
We firstly study the departure process of M^x/G/l queueing system with multiple server vacations. By using direct probability decomposition,renewal theory and the Laplace-Stieltjes transform,we discuss the expected number of departures occurring in the time interval （0, t] from the beginning of the any initial state i（i = O, 1,2,…） and its asymptotic expansion.[著者文摘]
Key words:
Departure ; Server vacation; Group arrivals ; Expected number; Asymptot-ic expansion
基金资助:
Supported by the Natural Science Foundation of the Education Department of Sichuan Province（E2006]A067） and the Science Foundation of Sichuan Normal University
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