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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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本文研究批量到达带启动时间的单重休假的M/G/1排队系统,给出稳态队长的母函数和等待时间分布的LST及其它们的随机分解结果,推导出忙期、闲期和线期母函数和均值。 相似文献
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田乃硕 《高校应用数学学报(A辑)》1993,(2):130-137
对空竭服务、多重休假规则的GI/PH/1排队系统的稳态行为给出了详尽分析。在休假时间服从负指数分布情况下,讨论了到达点嵌入Markov链的结构、平衡条件和稳态队长。证明稳态队长可分解成两个独立随机变量之和。 相似文献
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带关闭期和启动期的GI/M/1排队及其应用 总被引:1,自引:0,他引:1
本研究了带关闭期和启动期的GI/M/1排队,给出了稳态队长分布和等待时间分布的随机分解,展示了它在计算机通讯网络中的应用。 相似文献
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本文介绍了带有各种休假策略的M/M/C休假排队的研究方法及结果,在所有服务台全的条件下,我们证明了系统的稳态队长和稳态等待时间可分解成两个独立随机变量和和,其中一个随机变量愉是相应的经典M/M/C排队的稳态队长与稳态等待时间。 相似文献
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本文研究带启动时间的同步多重休假的GI/M/c排队,通过矩阵几何解方法,给出了稳态队长,等待时间的分布函数及其条件随机分解结果。 相似文献
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In this paper we first obtain, in a unified way, closed-form analytic expressions in terms of roots of the so-called characteristic equation (c.e.), and then discuss the exact numerical solutions of steady-state distributions of (i) actual queueing time, (ii) virtual queueing time, (iii) actual idle time, and (iv) interdeparture time for the queueGI/R/1, whereR denotes the class of distributions whose Laplace-Stieltjes transforms (LSTs) are rational functions (ratios of a polynomial of degree at mostn to a polynomial of degreen). For the purpose of numerical discussions of idle- and interdeparture-time distributions, the interarrival-time distribution is also taken to belong to the classR. It is also shown that numerical computations of the idle-time distribution ofR/G/1 queues can be done even ifG is not taken asR. Throughout the discussions it is assumed that the queue discipline is first-come-first-served (FCFS). For the tail of the actual queueing-time distribution ofGI/R/1, approximations in terms of one or more roots of the c.e. are also discussed. If more than one root is used, they are taken in ascending order of magnitude. Numerical aspects have been tested for a variety of complex interarrival- and service-time distributions. The analysis is not restricted to generalized distributions with phases such as Coxian-n (C
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), but also covers nonphase type distributions such as uniform (U) and deterministic (D). Some numerical results are also presented in the form of tables and figures. It is expected that the results obtained from the present study should prove to be useful not only to practitioners, but also to queueing theorists who would like to test the accuracies of inequalities, bounds or approximations. 相似文献
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We compare the overall mean response time (a.k.a. sojourn time) of the processor sharing (PS) and feedback (FB) queues under an M/GI/1 system. We show that FB outperforms PS under service distributions having decreasing failure rates; whereas PS outperforms FB under service distributions having increasing failure rates. 相似文献
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《数学物理学报(B辑英文版)》2001,21(3):295-301
This paper considers an M/G/1 queue with Poisson rate λ > 0 and service time distribution G(t) which is supposed to have finite mean 1/μ. The following questions are first studied: (a) The closed bounds of the probability that waiting time is more than a fixed value; (b)The total busy time of the server, which including the distribution, probability that are more than a fixed value during a given time interval (0, t], and the expected value. Some new and important results are obtained by theories of the classes of life distributions and renewal process. 相似文献
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J. Sztrik 《European Journal of Operational Research》1985,20(2):261-268
The aim of the present paper is to give the main characteristics of the finite-source queue in equilibrium. Here unit i stays in the source for a random time having general distribution function Fi(x) with density fi(x). The service times of all units are assumed to be identically and exponentially distributed random variables with means 1/μ. It is shown that the solution to this model is similar in most important respects to that for the M/M/r model. 相似文献
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给出了考虑运营期收益的项目建设期时间/费用交换问题DTCTP/R的概念,讨论了项目工期/收益的函数关系,建立了优化的数学模型,并且将遗传算法应用于问题的求解.最后,结合一个案例说明了在对建设期优化时,应当考虑其对项目运营收入的影响,从全局的角度来进行时间/费用的优化,所得结果才准确与可靠. 相似文献
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文献[1]引入了一类具有广泛应用前景的随机过程-Markov骨架过程,文献[2]研究了GI/G/1排队系统,本文对其进行了拓展,研究了多重休假GI/G/1排队模型。求出了此模型的到达过程,等待时间及队长的概率分布。 相似文献
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本是[1,2]的继续,在本中利用马氏骨架过程给出了GI/G/1排队系统的队长的瞬时分布的另一新的计算方法和等待时间的计算方法。 相似文献
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应用线性算子的积分半群理论证明 M/MB/1排队模型的时间依赖解的存在唯一性 ,其次推出 M/M/1排队模型的时间依赖解的存在唯一性 . 相似文献
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We treat the GI/M/1 queue with a processor-sharing server, in the heavy traffic case. Using perturbation methods, we construct asymptotic expansions for the conditional sojourn time distribution of a tagged customer conditioned on the tagged customer's service time. The resulting approximation is simple in form and involves only the first three moments of the interarrival time distribution. 相似文献