Abstract

AbstractThis paper describes a general point of view on the subject of store‐and‐forward queueing networks. A systematic approach to a store‐and‐forward network as a whole is applied. This allows network problems which involve dynamic optimization of congestion control and routing to be treated in a common framework. The dynamic model applied is non‐linear and can be handled straightforwardly by optimal control system theory. It is shown that under normal operational conditions the optimal flow pattern is given by the steady‐state solution of the costate equations. Properties of the optimal flow pattern are examined in detail. Then, schemes of the operation of the network under different operating conditions are discussed at length. It is shown that the optimal control strategies depend on the total volume of traffic forwarded to the network. Algorithms are developed for different traffic demand patterns, and a numerical example is also given.

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