CONSTRAINED SHORTEST-PATH ALGORITHMS FOR NETWORK CONTROL

This paper considers networks consisting of links with variable ''leng ths'' and problems requiring to select, between a pair of nodes, the s hortest path under a constraint. More specifically, we determine the s hortest paths under the constraint from a source node to all other nod es. Examples of the constraints and criteria of analysis are provided. Two different classes of the constraint-shortest-path problems are in troduced. Two algorithms are presented (CSPA-1 and CSPA-0), and the an alysis of their complexities is provided. Examples of applications for control and design of communication networks are considered. Two nume rical examples are provided. It is demonstrated that both algorithms h ave polynomial complexities of the same order.