Single Node and Multiple Node (End-to-End) Teletraffic Analysis of Connection-Oriented Packet-Switched Networks

小行星9508014 通信网络的有效话务分析是其成功设计和工程的关键。 本项目将介绍和研究一种新的模式，用于通信网络的远程通信分析，该模式基于系统理论方法，该方法深深植根于控制理论领域。 这种方法具有以下特点： 1)它是基于动态系统的观点，在系统中的工作负载分布：2）它提供了精确的解决方案和近似解决方案（以较少的计算工作量）; 3)它是统一的，在这个意义上，该方法能够解决大多数建议的电信业务模型在一个独特的和简单的框架，包括流体流近似，不同的相关和突发到达的队列，M/G/1或G/M/1型的一般马尔可夫链，等等; 4)该方法可以被看作是矩阵分析方法和谱分解技术之间的“桥梁”，它避免了大量的迭代。（特别是在交通繁忙时）遇到的前一种类型的方法和病态根查找问题（特别是当单个源表征是复杂的时）的后一类型的问题; 5）该方法可以容易地使用传统的模拟滤波理论来实现;以及6）该方法也可以使用在控制理论领域中广泛使用的已知和有效的算法来实现，以解Riccati方程。 ***

9508014 Sohraby Effective teletraffic analysis of communication networks is essential for their successful design and engineering. This project will introduce and examine a new paradigm for the teletraffic analysis of communication networks which is based on a system theoretic approach that is well rooted in the field of control theory. This approach has the following features: 1) it is based on a dynamical system viewpoint for the workload distribution in the system; 2) it provides both exact solution and approximate solution (with less computational effort); 3) it is unifying in the sense that the method is capable of solving most of the proposed teletraffic models in a unique and simple framework, including fluid flow approximations, queues fed with different correlated and bursty arrivals, general Markov chains of M/G/1 or G/M/1 type, etc.; 4) the method can be viewed as a "bridge" between the matrix analytic methods and spectral decomposition techniques where it avoids the need for a large number of iterations (especially in heavy traffic) encountered in the methods of the former type and the ill-conditioned root finding problem (especially when individual source characterization is complex) of the problems of the latter type; 5) the method can be easily implemented using traditional analog filtering theory; and 6) the method can also be implemented using known and effective algorithms extensively used in the field of control theory for the solution of Riccati equations. ***