Abstract
This paper deals with the performance evaluation of a linear network made of several routers separated by finite buffers with data traffic without flow control. By using a continuous flow model for the line, Markovian models can be developed for two routers lines but the complete model of a line composed by several routers is too complicated to use an analytical method. We then use some assumptions on the independence of random variables to build tractable approximative Markovian models. More specifically, we decompose the line in a series of two-routers lines, which is easier to study. The idea is borrowed from the approximative methods for performance evaluation of continuous flows for production lines [DAL 89].
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