利用矩阵几何解的方法，导出了系统稳态概率向量的明显表达式。
By using the matrix geometric solution method, we derive the explicit expressions for steady-state probability vector.
利用拟生灭过程与矩阵几何解的方法求出了系统的稳态平衡条件和稳态概率分布。
By using the Quasi-Birth-Death process and the matrix geometric solution, we obtain the equilibrium conditions of the system and the steady-state probability distribution.
稳态概率、状态频率和持续时间是高压直流系统可靠性评估中的三个主要可靠性指标，一般用数值方法求解。
Steady-state probability, frequency and duration are the three main indices in reliability evaluation of the HVDC systems. Generally, they are solved by numerical methods.
通过拟生灭过程的方法求出了系统稳态平衡条件和稳态概率向量的矩阵几何解，并给出了系统的一些性能指标和数值结果。
Using the quasi-birth-and-death process method, we derive the equilibrium condition of the system and the matrix-geometric solution of the steady-state probability vectors.
利用马尔科夫过程理论和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止步率等性能指标。
The matrix form solution of the steady-state probability was derived by the Markfov process method and the matrix solution method. Some performance measures of the system such as th…
利用等效线性化方法推导了具有渐硬非线性复位弹簧的滑动系统的高斯白噪声激励稳态随机响应概率分布的解析解。
The analytic solutions of the probability density of the steady state responses of Coulomb sliding systems with gradually strong springs to Gaussian white noise are derived.
研究了渐硬恢复力刚性滑移结构在水平和竖向高斯白噪声地面作用下稳态响应的概率分布问题。
The probability distribution problem of the steady-state responses to horizontal and vertical Gaussian white noises of rigid sliding structures with hardening restoring force is studied in this paper.
采用补充变量法，首先建立了系统稳态下的状态转移方程，通过求解得到了稳态下系统队长的概率母函数，进而计算出稳态下系统的平均队长。
A supplementary variable technique is used to obtain the steady-state function and the steady-state probability generation function of the number of customers in the system.
由补充变量法和状态转移方程的分析得到了稳态队长分布的广义概率母函数表达式。
By using the supplemental variable method and the state transfer analysis the queue generating function is obtained.
本文采用补充变量法，首先建立了系统稳态下的状态转移方程，通过求解得到了稳态下系统队长的概率母函数，进而计算出稳态下系统的平均队长。
A supplementary variable technique is used to obtain the steady-state function and the steady-state probability generation function of the number of customer in the system.
通过补充变量法和状态转移方程求得了系统稳态队长的概率母函数。
The effects of the shapes and dimensions of table tennis bat on table tennis ball head on impact probability have been investigated by an analytical method of probability function.
通过补充变量法和状态转移方程求得了系统稳态队长的概率母函数。
The effects of the shapes and dimensions of table tennis bat on table tennis ball head on impact probability have been investigated by an analytical method of probability function.
应用推荐