The quickest path problem is possibly the most important problem for d
ata routing in computer networks. The quickest path problem is to find
quickest paths in a computer network to transmit a given amount of da
ta with minimal transmission time. The selection of quickest paths dep
ends on both the characteristics of the computer network and the amoun
t of data to be transmitted. In addition, if the quickest paths are re
quired to go through a specified path, then the restricted problem is
called the constrained quickest path problem. In this study, some new
distributed routing algorithms are developed for multimedia data trans
fer in an asynchronous computer network. For all pairs of nodes in a n
etwork, an O(mn) messages and O(m) time distributed algorithm is first
presented to find constrained quickest paths, and then an O(mn) messa
ges and O(m) time distributed algorithm is present to enumerate the fi
rst k quickest paths. (C) 1998 Elsevier Science B.V. All rights reserv
ed.