One of the basic problems in quality of service (QoS) routing is to find a path subject to multiple constraints on routing metrics. We first show that for additive and multiplicative metrics, the path finding problem is NP-complete, and then apply the results to QoS routing. (C) 1999 Elsevier Science B.V. All rights reserved.
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[Anonymous], 1979, Computers and Intractablity: A Guide to the Theoryof NP-Completeness