A Simple Derivation of the MVA and LBANC Algorithms from the Convolution Algorithm

The convolution algorithm, the mean value analysis (MVA) algorithm, and the LBANC algorithm are major algorithms for the solution of closed product-form queueing networks. For fixed-rate service centers, the efficiency of each algorithm is greatly improved by a recursive solution. We show that the recursive relations in all three algorithms are closely related so that each one can be easily derived from any of the others.