Optimal Link Capacity Assignments in Teleprocessing and Centralized Computer Networks
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AbstractWe consider a centralized network model representing a teleprocessing or a centralized computer communication network. The network is topologically described by a tree structure. A single central node represents a data-processing center, while the other nodes correspond to remote terminals. A maximal average message delay value is prescribed. A cost function is assumed to incorporate a term representing link costs, dependent only on the link flows, and a term involving weighted (distance related) sum of the powers of the link-capacity values. We then solve for the optimal link capacity assignment, yielding the minimal value of the cost function under the prescribed maximal message delay value.
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