[1]盛昭瀚.定时发车的公共汽车起始站的排队模型[J].东南大学学报(自然科学版),1983,13(1):73-86.[doi:10.3969/j.issn.1001-0505.1983.01.008]
 Sheng Zhao-han.Queuing Model for A Bus Station at the Starting Point With Buses Sent out at Regular Intervals[J].Journal of Southeast University (Natural Science Edition),1983,13(1):73-86.[doi:10.3969/j.issn.1001-0505.1983.01.008]
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定时发车的公共汽车起始站的排队模型()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
13
期数:
1983年第1期
页码:
73-86
栏目:
本刊信息
出版日期:
1983-03-20

文章信息/Info

Title:
Queuing Model for A Bus Station at the Starting Point With Buses Sent out at Regular Intervals
作者:
盛昭瀚
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Author(s):
Sheng Zhao-han
关键词:
排队模型 公共汽车 平稳分布 正常返 平均队长 服务系统 充分必要条件 等待时间 平稳状态 不可约
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1983.01.008
摘要:
本文研究了输入服从参数为λ的Pisson流,相继服务时间为定长且有最大服务容量的服务系统的排队模型,引进了相应的不可约、非周期的嵌入MapkoB链,给出了该链为正常返的充分必要条件以及该链为零常返与非常返的充分条件;计算了遍历情况下的平稳分布与平稳状态下的平均队长和平均最长等待时间。
Abstract:
This paper discusses the queuing model of a servicing system with Poisson input stream, uniform servicing intervals. and maximum Seyving Capacity, Δ relevant aperiodic irreducible Imbedded Markov chain is introduced. The necessary and sufficient conditions for a Markov chain with recurrent nonnull state and the sufficient condition for a chain with recurrent and transient state are given. Computations of the stationary distribution in the ergodic case and the mean queuing length and the maximum waiting time under the stationary state are also presented.
更新日期/Last Update: 2013-05-01