Abstract
The quickest path problem, which was originally proposed by Chen and Chin, is a variant of the shortest path problem. Its objective is to find quickest paths in a network to transmit a given amount of data such that the transmission time is minimized. If the quickest paths are required to go through a specified path, then the restricted problem is called the constrained quickest path problem. In this paper, for all pairs of nodes in a network N, an O( mn 2) time algorithm is first presented to find constrained quickest paths, and then an O( k 2 mn 2) time algorithm is presented to enumerate the first k quickest paths. Our results improve previous results by Rosen, Sun and Xue.
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