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排序方式: 共有113条查询结果,搜索用时 154 毫秒
31.
We present numerical methods for obtaining the stationary distribution of states for multi-server retrial queues with Markovian
arrival process, phase type service time distribution with two states and finite buffer; and moments of the waiting time.
The methods are direct extensions of the ones for the single server retrial queues earlier developed by the authors. The queue
is modelled as a level dependent Markov process and the generator for the process is approximated with one which is spacially
homogeneous above some levelN. The levelN is chosen such that the probability associated with the homogeneous part of the approximated system is bounded by a small
tolerance and the generator is eventually truncated above that level. Solutions are obtained by efficient application of block
Gaussian elimination. 相似文献
32.
Nobuko Igaki 《Queueing Systems》1992,10(4):279-294
AnM/M/2 queueing system with vacations is studied in which two servers keep working until there are no customers, and then one of the two servers takes a vacation. The remaining server does not leave the system during the vacation, and keeps serving the arriving customers. The duration of vacation is general. We study both theN-policy multiple vacation model and the single vacation model. This paper is concerned with the determination of the stationary distribution of the number of customers in the systems, and their decomposition structures. 相似文献
33.
This paper considers a discrete-time bulk-service queueing system with variable capacity, finite waiting space and independent Bernoulli arrival process: Geo/GY/1/N+B. Both the analytic and computational aspects of the distributions of the number of customers in the queue at post-departure, random and pre-arrival epochs are discussed. 相似文献
34.
讨论一个具有相继的两种类型休假策略的M/M/1休假排队模型.模型可以用QBD过程及矩阵解析方法分析.首先,得到了该QBD过程的联合平稳分布,在此基础上,进一步给出了所讨论排队模型平稳队长和平稳逗留时间的随机分解结果. 相似文献
35.
A. D. Banik M. L. Chaudhry U. C. Gupta 《Methodology and Computing in Applied Probability》2008,10(4):559-575
We consider a finite-buffer single-server queue with renewal input where the service is provided in batches of random size
according to batch Markovian service process (BMSP). Steady-state distribution of number of customers in the system at pre-arrival and arbitrary epochs have been obtained along
with some important performance measures. The model has potential applications in the areas of computer networks, telecommunication
systems, and manufacturing systems, etc.
相似文献
36.
本文研究由两不同型部件组成的冷贮备可修系统的最优化更换策略问题.在该系统中,修理工可多重休假且修理设备具有优先权.通过引入一类推广的泊松过程来模拟系统的运作状态,并结合新定义的更换周期,从理论上找出该系统经长期运行单位时间的期望损失的具体表达式.最后,通过事例,从直观上验证文中所涉及到的一些理论结果. 相似文献
37.
This paper treats an M/G/1 queue with single working vacation and vacation interruption under Bernoulli schedule. Whenever the system becomes empty at a service completion instant, the server goes for a single working vacation. In the working vacation, a customer is served at a lower speed, and if there are customers in the queue at the instant of a service completion, the server is resumed to a regular busy period with probability p (i.e., the vacation is interrupted) or continues the vacation with probability 1-p. Using the matrix analytic method, we obtain the distribution for the stationary queue length at departure epochs. The joint distribution for the stationary queue length and service status at the arbitrary epoch is also obtained by using supplementary variable technique. We also develop a variety of stationary performance measures for this system and give a conditional stochastic decomposition result. Finally, several numerical examples are presented. 相似文献
38.
Srinivas R. Chakravarthy 《Applied Mathematical Modelling》2013,37(20-21):8886-8902
In this paper we study a queueing model in which the customers arrive according to a Markovian arrival process (MAP). There is a single server who offers services on a first-come-first-served basis. With a certain probability a customer may require an optional secondary service. The secondary service is provided by the same server either immediately (if no one is waiting to receive service in the first stage) or waits until the number waiting for such services hits a pre-determined threshold. The model is studied as a QBD-process using matrix-analytic methods and some illustrative examples are discussed. 相似文献
39.
Yang Woo Shin 《Queueing Systems》2007,55(4):223-237
We consider a multi-server retrial queue with waiting places in service area and four types of arrivals, positive customers,
disasters and two types of negative customers, one for deleting customers in orbit and the other for deleting customers in
service area. The four types of arrivals occur according to a Markovian arrival process with marked transitions (MMAP) which
may induce the dependence among the arrival processes of the four types.
We derive a necessary and sufficient condition for the system to be positive recurrent by comparing sample paths of auxiliary
systems whose stability conditions can be obtained. We use a generalized truncated system that is obtained by modifying the
retrial rates for an approximation of stationary queue length distribution and show the convergence of approximation to the
original model. An algorithmic solution for the stationary queue length distribution and some numerical results are presented.
相似文献
40.
We consider a GI/M/1 queueing system in which the server takes exactly one exponential vacation each time the system empties. We derive the PGF of the stationary queue length and the LST of the stationary FIFO sojourn time. We show that both the queue length and the sojourn time can be stochastically decomposed into meaningful quantities. 相似文献