共查询到20条相似文献,搜索用时 31 毫秒
1.
本文讨论具有阻碍、放弃,不同服务员Kk/M/2/N排队系统的解析解.对经典的一种先入先出的修改排队规则在较一般的条件下被采用了,得到了稳态概率和一些有效度量的显式.一些特殊情况也被化简了。 相似文献
2.
This paper treats the analytical solution of the truncated interarrival hyperexponential queue. Hk/M/c/N with balking and reneging for general values of k,c and N. The discipline considered here is FIFO. Some previously published results are shown to be special cases of the present results 相似文献
3.
《Journal of the Egyptian Mathematical Society》2014,22(1):90-95
Recently, [1] have obtained the transient solution of multi-server queue with balking and reneging. In this paper, a similar technique is used to drive a new elegant explicit solution for a two heterogeneous servers queue with impatient behavior. In addition, steady-state probabilities of the system size are studied and some important performance measures are discussed for the considered system. 相似文献
4.
研究了带有止步和中途退出的M/M/R/N同步多重工作休假排队系统,利用马尔可夫过程理论和矩阵解法求出了含有两个逆阵的系统稳态概率的矩阵解,并得到了系统的平均队长、服务员处在工作休假期的概率以及顾客的平均止步率等性能指标.最后通过数值例子分析了系统的参数对平均队长的影响. 相似文献
5.
本文研究了带有止步和中途退出的M^x/M/1/N多重休假排队系统。顾客成批到达,到达后每批中的顾客,或者以概率b决定进入队列等待服务,或者以概率1-b止步(不进入系统)。顾客进入系统后可能因为等待的不耐烦而在没有接受服务的情况下离开系统(中途退出)。系统中一旦没有顾客,服务员立即进行多重休假。首先,利用马尔科夫过程理论建立了系统稳态概率满足的方程组。其次,在利用高等代数相关知识证明了相关矩阵可逆性的基础上,利用矩阵解法求出了稳态概率的矩阵解,并得到了系统的平均队长、平均等待队长以及顾客的平均损失率等性能指标。 相似文献
6.
7.
8.
Bharat Doshi 《Queueing Systems》1990,7(3-4):229-251
M/G/1 queues with server vacations have been studied extensively over the last two decades. Recent surveys by Boxma [3], Doshi [5] and Teghem [14] provide extensive summary of literature on this subject. More recently, Shanthikumar [11] has generalized some of the results toM/G/1 type queues in which the arrival pattern during the vacations may be different from that during the time the server is actually working. In particular, the queue length at the departure epoch is shown to decompose into two independent random variables, one of which is the queue length at the departure epoch (arrival epoch, steady state) in the correspondingM/G/1 queue without vacations. Such generalizations are important in the analysis of situations involving reneging, balking and finite buffer cyclic server queues. In this paper we consider models similar to the one in Shanthikumar [11] but use the work in the system as the starting point of our investigation. We analyze the busy and idle periods separately and get conditional distributions of work in the system, queue length and, in some cases, waiting time. We then remove the conditioning to get the steady state distributions. Besides deriving the new steady state results and conditional waiting time and queue length distributions, we demonstrate that the results of Boxma and Groenendijk [2] follow as special cases. We also provide an alternative approach to deriving Shanthikumar's [11] results for queue length at departure epochs. 相似文献
9.
An infinite capacityM/M/1 queue with balking is discussed. Defining the generating function in an unusual and direct way, the time-dependent solution for the system size is obtained elegantly. 相似文献
10.
研究了带有止步和中途退出的Mx/M/R/N同步休假排队系统.顾客成批到达.到达的顾客如果看到服务员正在休假或者全忙,他或者以概率b决定进入队列等待服务,或者以概率1-b止步(不进入系统).系统根据一定的原则以概率nk在未止步的k个顾客中选择n个进入系统.在系统中排队等待服务的顾客可能因为等待的不耐烦而在没有接受服务的情况下离开系统(中途退出).系统中一旦没有顾客,R个服务员立即进行同步多重休假.首先,利用马尔科夫过程理论建立了系统稳态概率满足的方程组.其次,在证明了相关矩阵可逆性的基础上,利用矩阵解法求出了系统稳态概率的明显表达式,并得到了系统的平均队长、平均等待队长及顾客的平均损失率等性能指标. 相似文献
11.
研究了带有止步和中途退出的M~x/M/1/N单重工作休假排队系统.顾客成批到达,到达后每批中的顾客,或者以概率b决定进入队列等待服务,或者以概率1-b止步(不进入系统).顾客进入系统后可能因为等待的不耐烦而在没有接受服务的情况下离开系统(中途退出).系统中一旦没有顾客,服务员立即进入单重工作休假.首先,利用马尔科夫过程理论建立了系统稳态概率满足的方程组.其次利用矩阵解法求出了稳态概率的矩阵解并得到了系统的平均队长、平均等待队长以及顾客的平均消失概率等性能指标.最后通过数值例子分析了工作休假时的低服务率η和休假率θ这两个参数对系统平均队长的影响. 相似文献
12.
We consider an M/PH/1 queue with balking based on the workload. An arriving customer joins the queue and stays until served only if the system
workload is below a fixed level at the time of arrival. The steady state workload distribution in such a system satisfies
an integral equation. We derive a differential equation for Phase type service time distribution and we solve it explicitly,
with Erlang, Hyper-exponential and Exponential distributions as special cases. We illustrate the results with numerical examples. 相似文献
13.
Consider a single-server queue with a renewal arrival process and generally distributed processing times in which each customer independently reneges if service has not begun within a generally distributed amount of time. We establish that both the workload and queue-length processes in this system can be approximated by a regulated Ornstein-Uhlenbeck (ROU) process when the arrival rate is close to the processing rate and reneging times are large. We further show that a ROU process also approximates the queue-length process, under the same parameter assumptions, in a balking model. Our balking model assumes the queue-length is observable to arriving customers, and that each customer balks if his or her conditional expected waiting time is too large. 相似文献
14.
J. Teghem Jr 《Mathematical Methods of Operations Research》1979,23(3):95-106
The problem is to determine an explicit form for the stationary distribution of an imbedded Markov Chain in aGI/M/S queue with balking and reneging.We first construct the discrete transforms — introduced bySubba Rao/Jaiswal [1969] — for this queueing system. Then, using this concept, we resolve the problem, obtaining a new way for determining the transition probabilities of the imbedded Markov chain.
Zusammenfassung Thema dieses Aufsatzes ist die Bestimmung der stationären Verteilung einer eingebetteten Markov-Kette in einemGI/M/S Wartesystem mit ungeduldigen Kunden. Anhand der vonSubba Rao/Jaiswal [1969] eingeführten diskreten Transformation gelingt es, die Übergangswahrscheinlichkeiten der eingebetteten Markov-Kette explizit zu bestimmen.相似文献
15.
N策略工作休假M/M/1排队 总被引:4,自引:0,他引:4
考虑策略工作休假M/M/1排队,简记为M/M/1(N-WV)。在休假期间,服务员并未完全停止工作而是以较低的速率为顾客服务。用拟生灭过程和矩阵几何解方法,我们给出了有直观概率意义的稳态队长和稳态条件等待时间的分布。此外,我们也得到了队长和等待时间的条件随机分解结构及附加队长和附加延迟的分布。 相似文献
16.
We consider an M/M/1+M queue with a human server, who is influenced by incentives. Specifically, the server chooses his service rate by maximizing his utility function. Our objective is to guarantee the existence of a unique maximum. The complication is that most sensible utility functions depend on the server utilization, a non-simple expression. We derive a property of the utilization that guarantees quasiconcavity of any utility function that multiplies the server’s concave (including linear) “value” of his service rate by the server utilization. 相似文献
17.
18.
研究具有Bernoulli控制策略的M/M/1多重休假排队模型: 当系统为空时, 服务台依一定的概率或进入闲期, 或进入普通休假状态, 或进入工作休假状态. 对该模型, 应用拟生灭(QBD)过程和矩阵几何解的方法, 得到了过程平稳队长的具体形式, 在此基础上, 还得到了平稳队长和平稳逗留时间的随机分解结果以及附加队长分布和附加延迟的LST的具体形式. 结果表明, 经典的M/M/1排队, M/M/1多重休假排队, M/M/1多重工作休假排队都是该模型的特殊情形. 相似文献
19.
This paper considers theM/M/c queue in which a customer leaves when its service has not begun within a fixed interval after its arrival. The loss probability
can be expressed in a simple formula involving the waiting time probabilities in the standardM/M/c queue. The purpose of this paper is to give a probabilistic derivation of this formula and to outline a possible use of this
general formula in theM/M/c retrial queue with impatient customers.
This research was supported by the INTAS 96-0828 research project and was presented at the First International Workshop on
Retrial Queues, Universidad Complutense de Madrid, Madrid, September 22–24, 1998. 相似文献
20.
In this paper, we give a detailed analysis of the M/M/c queue with Phase Type synchronous vacations. Two models are considered. Firstly, the vacation strategy is a multiple synchronous vacation. Secondly, only a single vacation is taken each time. For model 1, we give the distributions of the stable queue length and the waiting time. Finally,it is shown that model 2 may be analyzed similarly to model 1. 相似文献