Stability and performance analysis of rate-based feedback flow controlled ATM networks

作     者：Sharma, V Kuri, J 

作者机构：Indian Inst Sci Dept Elect Engn Bangalore 560012 Karnataka India Ecole Polytech Dept Genie Elect & Genie Informat Montreal PQ H3C 3A7 Canada 

出 版 物：《QUEUEING SYSTEMS》 (排队系统)

年 卷 期：1998年第29卷第2-4期

页      面：129-159页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：rate-based feedback control ATM networks stability optimal algorithms 

摘      要：Motivated by ABR class of service in ATM networks, we study a continuous time queueing system with a feedback control of the arrival rate of some of the sources. The feedback about the queue length or the total workload is provided at regular intervals (variations on it, especially the traffic management specification TM 4.0, are also considered). The propagation delays can be nonnegligible. For a general class of feedback algorithms, we obtain the stability of the system in the presence of one or more bottleneck nodes in the virtual circuit. Our system is general enough that it can be useful to study feedback control in other network protocols. We also obtain rates of convergence to the stationary distributions and finiteness of moments. For the single botterneck case, we provide algorithms to compute the stationary distributions and the moments of the sojourn times in different sets of states. We also show analytically (by showing continuity of stationary distributions and moments) that for small propagation delays, we can provide feedback algorithms which have higher mean throughput, lower probability of overflow and lower delay jitter than any open loop policy. Finally these results are supplemented by some computational results.