摘要
把"休假延迟"引进到基于多重休假的Min(N,V)-策略排队系统中,研究了有延迟休假和Min(N,V)-策略控制的M/G/1排队系统队长的瞬态性质,其中N是预设的休假终止的门限值.通过使用全概率分解技术和拉普拉斯变换工具,讨论了系统从任意初始状态出发的队长的瞬态分布,获得了队长瞬态分布的拉普拉斯变换表达式.
In this paper the"delayed vacation"is introduced in the M/G/1 queueing system with Min(N,V)-policy based on multiple server vacations and the transient property of the queue len gth is studied,in which N is a predefined threshold that the server immediately interrupts his(her)vacation.Applying the method of the total probability decomposition technique and the Laplace transform tool,the transient queue length distribution from the beginning of the any initial state is discussed.We obtain the expressions of the Laplacetransformation of the transient queue length distribution.
作者
胡蓉
唐应辉
HU Rong;TANG Ying-hui(School of Mathematics & Software Science,Sichuan Normal University,Chengdu 61006& China;School of Fundamental Education,Sichuan Normal University,Chengdu 610068,China)
出处
《数学的实践与认识》
北大核心
2019年第13期145-155,共11页
Mathematics in Practice and Theory
基金
国家自然科学基金(71571127)
国家自然科学青年基金(71301111)
关键词
延迟休假
Min(N
V)-策略
瞬态队长分布
全概率分解技术
delayed vacation
Min(N,V)-policy
transient queue length distribution
total probability decomposition technique.
