A New Approximation Algorithm for Computing 2-Restricted Disjoint Paths

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2007

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Peng, C.
Shen, H.

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IEICE Transactions on Information and Systems, 2007; E90D(2):465-472

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In this paper we study the problem of how to identify multiple disjoint paths that have the minimum total cost OPT and satisfy a delay bound D in a graph G. This problem has lots of applications in networking such as fault-tolerant quality of service (QoS) routing and network-flow load balancing. Recently, several approximation algorithms have been developed for this problem. Here, we propose a new approximation algorithm for it by using the Lagrangian Relaxation method. We then present a simple approximation algorithm for finding multiple link-disjoint paths that satisfy the delay constraints at a reasonable total cost. If the optimal solution under delay-bound D has a cost OPT, then our algorithm can find a solution whose delay is bounded by (1+1/k)D and the cost is no more than (1+k)OPT. The time complexity of our algorithm is much better than the previous algorithms. Copyright © 2007 The Institute of Electronics, Information and Communication Engineers.

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