共查询到17条相似文献,搜索用时 416 毫秒
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本文中研究了一个带有启动时间的Geom/Geom/1多重工作休假排队模型。服务台在休假期间,不停止服务,而是以较低的服务率为顾客提供服务。运用拟生灭过程和矩阵几何解的方法,给出了该模型的稳态队长分布,并求出了平均队长以及顾客的平均逗留时间。 相似文献
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考虑N策略带启动时间的Geom/Geom/1工作休假排队,服务员在休假期间并未完全停止工作而是以较低的速率为顾客服务.运用拟生灭链和矩阵几何解方法,给出了该模型的稳态队长的分布和等待时间的概率母函数,并证明了队长和等待时间的条件随机分解结构. 相似文献
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研究带有反馈的具有正、负两类顾客的Geom/Geom/1离散时间休假排队模型.休假排队策略为单重休假,其中负顾客不接受服务,只起一对一抵消队首正在接受服务的顾客作用.完成服务的正顾客以概率σ(0≤σ≤1)等待下次服务,以概率σ离开系统.运用拟生灭过程和矩阵几何解方法得到队长的稳态分布的存在条件和表达式,进而求出系统队长稳态分布的随机分解.此外,我们利用了数值例子进一步反映参数对平均队长的影响. 相似文献
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多重休假的带启动期Geom/G/1排队 总被引:10,自引:2,他引:8
本文研究多重休假的带启动期的Geom/G/1离散时间排队。给出稳态队长,等待时间分布的母函数及其随机分解结果,推导出忙期,假期和启动期的母函数等。 相似文献
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基于Matlab程序研究了带启动期的多重休假Geom/G/1排队系统,统计出系统的平均队长、顾客的平均等待时间及系统的状态概率等性能指标随系统参数的变化趋势,并与理论分析结果进行有效的对比.从而验证了已知文献理论分析结果的正确性. 相似文献
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文章研究了单重休假的Geom/G/1闸门服务系统,推导出稳态下系统队长的母函数,FCFS规则下的等待时间的母函数,使用离散时间队长和剩余工作量的分解性质,求出剩余工作量的母函数,最后给出服务周期的性能指标的母函数,及系统处在各种状态的概率. 相似文献
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In this paper, we study a discrete time Geom/Geom/1 queue with multiple working vacations. Using the quasi birth and death chain and matrix-geometric solution method, we give distributions for the number of customers in system and the waiting time of a customer and their stochastic decomposition structures, and obtain distributions of the additional number of customers and additional delay. Furthermore, we derive the formulae of expected regular busy period and expected busy cycle. Finally, by numerical examples, we analyze the effect of the parameters on the expected queue length and sojourn time. 相似文献
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In this paper, we consider a BMAP/G/1 G-queue with setup times and multiple vacations. Arrivals of positive customers and
negative customers follow a batch Markovian arrival process (BMAP) and Markovian arrival process (MAP) respectively. The arrival
of a negative customer removes all the customers in the system when the server is working. The server leaves for a vacation
as soon as the system empties and is allowed to take repeated (multiple) vacations. By using the supplementary variables method
and the censoring technique, we obtain the queue length distributions. We also obtain the mean of the busy period based on
the renewal theory. 相似文献
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This paper shows that in the G/M/1 queueing model, conditioning on a busy server, the age of the inter-arrival time and the number of customers in the queue are independent. The same is the case when the age is replaced by the residual inter-arrival time or by its total value. Explicit expressions for the conditional density functions, as well as some stochastic orders, in all three cases are given. Moreover, we show that this independence property, which we prove by elementary arguments, also leads to an alternative proof for the fact that given a busy server, the number of customers in the queue follows a geometric distribution. We conclude with a derivation for the Laplace Stieltjes Transform (LST) of the age of the inter-arrival time in the M/G/1 queue. 相似文献
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In this paper, we study a renewal input working vacations queue with state dependent services and Bernoulli-schedule vacations. The model is analyzed with single and multiple working vacations. The server goes for exponential working vacation whenever the queue is empty and the vacation rate is state dependent. At the instant of a service completion, the vacation is interrupted and the server resumes a regular busy period with probability 1???q (if there are customers in the queue), or continues the vacation with probability q (0?≤?q?≤?1). We provide a recursive algorithm using the supplementary variable technique to numerically compute the stationary queue length distribution of the system. Finally, using some numerical results, we present the parameter effect on the various performance measures. 相似文献