概率母函数

Aim\ To study the asympototic estimation for extinction probability in two environment states Smith Wilkinson BPRE with fractional linear probability generating function.

目的 探讨具有分式线性概率母函数两环境状态 Smith-Wilkinson BPRE灭绝概率的渐近估计。

With the use of the thin process theory, the Probability Generating Function of the IBP is obtained. An iterative algorithm, which can be used to calculate the IBP probability distribution, is presented.

用稀疏过程理论得到IBP的概率母函数，提出了一种迭代方法计算IBP的概率分布，并就突发源的等价描述进行了讨论。

We obtain the transient distribution of queue length and probability generating function of queue equilibrium distribution.

研究了服务前需要重新调整机器的单重休假M~x/G/1排队系统，在LS变换和L变换下得到了服务员忙期中队长的瞬态分布和队长稳态分布的概率母函数。

For BMAP/SM/1 queue, we derive the generating function of queueing length by use of imbedded markov chain and transition probability matrix.

关于BMAP/SM/1排队模型，运用嵌入马氏链的方法，通过转移概率矩阵，得到队长的概率母函数。

By the supplementary variable method the steady state equations and probability generating function for the customer number in the system including one customer in service are obtained. The stability conditions under which the steady state solution exists, the average customer number and the average sojourn time in the system.

通过补充变量法，首先建立了系统稳态下的状态转移方程，用概率母函数的方法求解得到了稳态下系统队长的概率母函数，进而求出系统稳态解存在的稳态条件和稳态下系统的平均队长和顾客在系统中的平均逗留时间。

Under the service rule that customers who first come would first get the service, we use the structure analysis method to get the stochastic decomposition of the queue length with the generating function of probability and the steady waiting time with Laplace-stieitjes transforms.

重点分析了带启动期的一般减量服务的单重休假$M/G/1$排队系统的一般结构，利用结构分析的方法，在先来先服务规则下求得稳态队长的随机分解的概率母函数和稳态等待时间的随机分解的$LST$，同时，讨论了系统处于平衡的条件及其概率含义的直观解释，进一步讨论了系统处于休假期、忙期、忙循环等状态时的各项性能指标及系统状态分布。

Aiming at complicated computing and difficulty of being realized when extending single sensor PHD filtering to the multi-sensor case by means of probability generating function, a multi-sensor multi-target sequential particle-PHD tracking algorithm is proposed based on the thought of sequential filtering for a centralized fusion system. The algorithm chooses the importance density function with regard to every sensor, and updates sample particle of every sensor layer by layer.

当采用概率母函数将单传感器PHD滤波推广到多传感器情形时，针对计算繁琐，难于实现的问题，本文基于集中式融合系统的有序滤波思想，提出多传感器、多目标有序粒子PHD跟踪算法，该算法通过选取与各传感器相关的重要性密度函数，层层更新各传感器的采样粒子，达到多传感器多目标有序PHD跟踪。

Secondly, by establishing a discrete time Markov model with spatial reuse for a MANET, we analyze the performance of the network under the AODV routing protocol. The average route length and the probability to communicate within a limited hop distance are obtained. Several performance parameters of the route discovery and route maintain process are analytically studied, such as the probability generating function and the expectation of the flooding distabce. the probability that a route is discovered by a query packet with a "hop limit", the probability that a request packet finds a valid route, the average time needed to discover a valid route and the cost to successfully route a data packet to its destination. Furthermore, we present a concrete example based on the transmitter characteristic of directional antennas and obtain the corresponding results.

建立了移动自组网络空间可重用的离散时间马氏链模型，得到了AODV路由协议下网络任意两节点间的平均路由长度、在指定"跳限"要求下通信的概率；对随选型路由协议下路由发现和路由维护过程中若干网络性能参数进行了解析分析，如网络中任意两节点问的泛洪距离的概率母函数及其期望、限定泛洪步数时成功寻路的概率、发现一条有效路由的平均时间、成功路由的代价等；并基于定向天线的发射特征给出了一个具体实例，分析计算了相应的网络性能参数。

The dissertation includes the work as follows: Firstly, we present a random graph model with spatial reuse for a dense MANET which using directional antennas. The analytic formula of several important performance parameters for the MANET are obtained under the DSR routing protocol, such as the average flooding distance, the probability generating function of the flooding distance, the probability of a flooding route to be symmetrically valid, the average time to find a symmetrically valid route and the cost to successfully route a data packet to its destination. We compare the two models with spatial reuse and without spatial reuse by evaluating these parameters. It is shown that the spatial reuse model is much more effcctive in terms of the performance of the dense network with directional antenna, because the bigger is the degree of spatial reuse, the smaller is the average flooding distance.

在定向天线技术的支持下，建立了移动自组网络空间可重用的贝努利随机图模型，获得了DSR路由协议下平均泛洪距离的解析公式和泛洪距离的概率母函数：给出了有效对称路由概率、发现有效路由平均时间、成功路由代价等关键性能参数的解析分析；在网络性能参数定量分析的基础上，对空间可重用和无重用的网络进行了比较分析，结果显示空间重用度增大，则平均泛洪距离、路由发现时延、网络代价减少。

While delay is changed unclearly with the number of packet calls in a session.

本文的特点在于采用了矩母函数和概率母函数理论，运算量大为降低。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。