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1)  quasi birth and death chain
拟生灭链
1.
Using quasi birth and death chain and matrix-geometric solution method,we obtain the distribution of the number of customers in the system,the average number of the customers and the average sojourn time of a customer in the stationary state.
应用拟生灭链以及矩阵几何解的方法,本文给出了稳态下顾客数的概率分布、平均队长以及顾客的平均逗留时间,最后通过数值例子说明我们的模型可以较好的模拟一些实际问题。
2.
Using quasi birth and death chain,we obtain the distribution of the number of customers in the system and the waiting time of a customer and the loss probability in the stationary state.
使用拟生灭链,我们得到稳态下系统中顾客数的分布、顾客的等待时间以及消失概率。
2)  birth and death chain
生灭链
1.
The birth and death chain in a random environment and the single birth chain in a random environment are two important models of Markov chain in a random environment.
随机环境中生灭链和随机环境中随机游动是随机坏境中马氏链的两类重要模型。
3)  the generalized birth death chain
一般生灭链
1.
Extinction probabilities and mean absorption time about the generalized birth death chains in Markovian environments are discussed.
将马氏环境中的生灭链 (GBDME)灭绝概率及平均吸收时间的计算 ,推广到马氏环境中一般生灭链 (GB DME) ,得到了关于灭绝概率及平均吸收时间的向量差分方程 。
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)  quasi birth-and-death process
拟生灭过程
1.
By constructing a quasi birth-and-death process and applying the spectral expansion method the algorithm of stable indexes are given,especially the explicit expression of stationary distribution when c=2.
在该排队模型中,信元的到达遵循泊松过程,服务时间服从指数分布,通过构造拟生灭过程和运用谱展开方法给出了平稳队长分布的算法,具体给出了c=2时平稳队长分布的显式表达式,以及在反馈优先和反馈非优先两种策略下的排队指标,并作出了相应的指标性能分析,得出信元在反馈优先策略下的平均逗留时间较短,进而说明了该排队模型在通信网络中有广泛的应用价值。
2.
The queue with this policy was analyzed by constructing a quasi birth-and-death process.
通过构造拟生灭过程 ,对网络流中的反馈优先策略的排队进行了分析 。
补充资料:生灭灭已
【生灭灭已】
 (术语)涅槃经曰:“诸行无常,是生灭法。生灭灭已,寂灭为乐。”初二句说生死法,后二句说涅槃法也。
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