Analytical analysis of access-schemes of the CSMA type

This paper introduces an analytical approach for the analysis of medium access protocols of the CSMA type, which are used in many control networks. In contrast to known approaches the proposed technique considers systems with different customer classes and class specific arrival rates. Analysis is based on a decomposition approach, which determines class specific measures from the repeated analysis of isolated queues, which are coupled by a joint computation of service rates depending on the utilization of all queues. The results presented in this paper can be used as building blocks in product form algorithms for the analytical analysis of large systems consisting of several network segments connected via routers or bridges.