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1)  birth-death process
生灭过程
1.
Firstly,the system state probability is estimated by Markov birth-death process,and then the request loss probability in stable system states is estimated by queuing theory,lastly, combining both of them,therefore the expression for the user perceived availability is established to quantitatively evaluate the sensitivity of user perceive.
首先使用Markov生灭过程估算系统状态概率,再利用排队论估算系统稳定状态下的请求丢失概率,最后结合二者建立起用户感知的可用性数学表达式,并以此来量化评估用户感知的可用性对各系统性能参数的敏感性。
2.
The amount model of SS(subscriber station),which needs ranging,is analyzed by using birth-death process under the condition of the given number of SS,and then the steady state solution of the amount is computed.
运用生灭过程分析了在确定SS数目的情况下需要Rang ing的SS数量模型,并计算出了需要Rang ing的SS数量的稳态解。
3.
It is proved by state transfer probability that the amount of bacterial metabolism at t moment is a birth-death process.
利用状态转移概率 ,证明了t时刻一个细菌群体的数量是一个生灭过程 ,并且给出一个时间段内细菌数量由i增长到j的概率 ,在不同的初始状态下 ,又讨论了细菌群体的平均大小 ,方差等 ,给出了一系列的结
2)  birth and death process
生灭过程
1.
Characteristic numbers and their probability meaning of two kinds of birth and death processes;
两类生灭过程的特征数及其概率意义
2.
We establish a linear birth and death process model of a population in polluted environment.
建立了生物种群在污染环境中的一个线性生灭过程模型。
3.
Then, by using birth and death process model, this paper compares the utilization ratio and service quality of two typical strategies, which is different in some details, in order to find the best CORBA service strategy for internet.
接着通过生灭过程分析了两种不同服务策略下CORBA服务器的资源的利用率与服务质量之间的关系,得出了在Internet上适合使用的服务模型。
3)  birth and death processes
生灭过程
4)  quasi-birth and death process
拟生灭过程
1.
Criterion of sevral ergoclicity of a general continuous time quasi-birth and death process and its application;
一般形式的连续时间拟生灭过程各种遍历性判定准则及其应用
2.
By using the method of quasi-birth and death process, we obtain stationary distribution for the number of breakdown machines and distribution of the waiting time.
利用拟生灭过程的方法,给出了稳态下机器故障数的分布和等待维修时间的分布。
3.
Research on machine-repair model including the use of spares with repairmen s performing secondary task was carried out, which was regarded as a finite queue with servers vacations by using the method of quasi-birth and death process.
研究了多修理工同时兼职辅助业务的冷贮备机器维修模型,将其视为多服务台休假有限源排队,利用拟生灭过程方法,给出稳态下机器故障数的分布和等待维修时间的分布,并且指出了模型在某些情况下退化成几个特殊的机器维修模型,同时给出了它们的稳态分布。
5)  quasi birth and death process
拟生灭过程
1.
By using finite quasi birth and death process and total probability de- composition ,the M/M/c/k queue with multiple synchronous vacations of partial servers is first considered,and the stationary distributions of queue length and waiting time are obtained.
利用有限状态拟生灭过程和全概率分解的方法,首次研究了只允许部分服务台同步多重休假的M/M/c/k排队系统,得到了稳态队长和等待时间分布,并且讨论了系统的优化问题。
2.
By applying the quasi birth and death process and matrix geometric solution, the necessary and sufficient conditions are derived for the stationarity of the system and the loss probability of the first kind of customers.
使用拟生灭过程和矩阵几何解,给出系统稳定的充分必要条件,第一类顾客消失概率、第二类顾客的队长和等待时间分布。
3.
And then,the bimatrix game with stochastic payoffs are modeled as a finite,state dependent quasi birth and death process for describing the adjust dynamic in the game with stochastic perturbation.
建立了有限种群进行带随机支付2×2双矩阵博弈的演化博弈模型,应用有限状态空间的拟生灭过程刻画了在有随机扰动的博弈环境中有限理性个体的学习调整动态,描述了理性演化的不确定性过程,讨论了拟生灭过程的平稳分布与演化模型的长期均衡以及博弈的纳什均衡之间的关系。
6)  Generalized birth and death porcesses
广生灭过程
补充资料:生灭过程

Birth-death process

一类非常重要且广泛存在的排队系统是生灭过程排队系统。生灭过程是一类特殊的随机过程。在排队论中,如果N(t)表示时刻t系统中的顾客数,则{N(t),t}=0}就构成了一个随机过程。如果用%26ldquo;生%26rdquo;表示顾客的到达,%26ldquo;灭%26rdquo;表示顾客的离去,则对许多排队过程来说,{N(t),t}=0}也是一类特殊的随机过程%26mdash;%26mdash;生灭过程。

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