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In this paper, we give a tutorial of queueing networks with blocking. Except for a few special cases, these networks could not be shown to have product form solutions. Although the steady state queue length distributions of these networks can, in theory, be calculated by solving the global balance equations together with the normalization equation numerically, this procedure can, in practice, be restrictive due to the time complexity of the procedure and the large storage required to store the rate matrices, particularly for large networks. Since exact values of their steady state queue length distributions are, in general, not attainable, good approximation algorithms are required to analyze queueing networks with finite queues.

Queueing networks with finite capacities