By using the matrix geometric solution method, we derive the explicit expressions for steady-state probability vector.
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。
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.
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。
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.
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。
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.
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。
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.
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。
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.
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。
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。
A new method was developed using probability and statistics theory to develop a statistical filtering variable for steady state tests.
该文对滤波法进行改进，用新假设代替原不合理假设，根据数理统计理论，推导出用于稳态检测的统计量。
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.
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 results compared with Monte Carlo simulation show that the analytical solutions can well forecast the probability distribution of the steady-state Gaussian responses of the systems.
与蒙特卡洛模拟解对比结果表明，该解析解能够较好地预测滑移系统的稳态高斯随机响应。
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.
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。
By using the unified colored noise approximation method, the master equation for probability density, the steady state probability distribution function and its extrema equation are derived.
讨讼色泊松噪声驱动系统，利用统一色噪声近似方法，得到系统几率密度主方程，定态几率分布函数及其极值方程。
By using the unified colored noise approximation method, the master equation for probability density, the steady state probability distribution function and its extrema equation are derived.
讨讼色泊松噪声驱动系统，利用统一色噪声近似方法，得到系统几率密度主方程，定态几率分布函数及其极值方程。
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