Analysis on D2D Heterogeneous Networks with State-Dependent Priority Traffic

In this work,we consider the performance analysis of state dependent priority traffic and scheduling in device to device(D2D)heterogeneous networks.There are two priority transmission types of data in wireless communication,such as video or telephone,which always meet the requirements of high priority(HP)data transmission first.If there is a large amount of low priority(LP)data,there will be a large amount of LP data that cannot be sent.This situation will cause excessive delay of LP data and packet dropping probability.In order to solve this problem,the data transmission process of high priority queue and low priority queue is studied.Considering the priority jump strategy to the priority queuing model,the queuing process with two priority data is modeled as a two-dimensionalMarkov chain.A state dependent priority jump queuing strategy is proposed,which can improve the discarding performance of low priority data.The quasi birth and death process method(QBD)and fixed point iterationmethod are used to solve the causality,and the steady-state probability distribution is further obtained.Then,performance parameters such as average queue length,average throughput,average delay and packet dropping probability for both high and low priority data can be expressed.The simulation results verify the correctness of the theoretical derivation.Meanwhile,the proposed priority jump queuing strategy can significantly improve the drop performance of low-priority data.

带启动时间、N策略和负顾客的M/M/1工作休假排队

研究了具有正、负2类顾客的M/M/1工作休假排队模型,工作休假策略为空竭服务、N策略带启动时间多重工作休假.负顾客一对一抵消队首正在接受服务的正顾客,若系统中无正顾客时,到达的负顾客自动消失,负顾客不接受服务.使用拟生灭过程和矩阵几何解方法,得到了系统队长的稳态分布,也证明了系统队长和等待时间的条件随机分解结构.

兼职辅助业务的冷贮备机器维修模型

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.

单生过程数字特征的概率含义（英文）

本文考虑了单生过程的一些数字特征,借助这些数字特征刻画了某些事件(如灭绝时间、回返时等)发生的概率.最后,利用本文结果计算了两个例子的相关数字特征.

Ergodicity of Quasi-birth and Death Processes(Ⅰ)

Quasi-birth and death processes with block tridiagonal matrices find many applications in various areas. Neuts gave the necessary and sufficient conditions for the ordinary ergodicity and found an expression of the stationary distribution for a class of quasi-birth and death processes. In this paper we obtain the explicit necessary and sufficient conditions for/-ergodicity and geometric ergodicity for the class of quasi-birth and death processes, and prove that they are not strongly ergodic. Keywords ergodicity, quasi-birth and death process.

The Spectral Gap for Quasi-birth and Death Processes

For a reversible quasi-birth and death process, we generalize and refine the decomposition method, by constructing a birth-death process and a sequence of restriction processes. The spectral gap for the quasi-birth and death process is estimated in terms of the spectral gaps for these processes, and in some special cases, the estimation is sharp. With the aid of the symmetrization procedure, the result is also applied to two queueing models： M/M/1 in random environment and MIMIc with synchronous vacation.

Criteria for Super-and Weak-Poincaré Inequalities of Ergodic Birth-Death Processes

Criteria for the super-Poincare inequality and the weak-Pincare inequality about ergodic birth-death processes are presented. Our work further completes ten criteria for birth-death processes presented in Table 1.4 （p. 15） of Prof. Mu-Fa Chen＇s book ＂Eigenvalues, Inequalities and Ergodic