In this short paper it is reported that the circulatory structure of two tandem finite buffer queues using Markovian statistics, indeed can be decomposed in a simple and elegant manner. The interesting point concerning any possible decomposition of flows is that one might reasonably think that for any non-product form network, the circulatory structure would consist of some arbitrary pattern of flows. Thus the existence of a simple, structured, decomposition is somewhat surprising. It may in fact lead to new computational algorithms for Markov chains
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