Shortest Node-Disjoint Path Using Dual-Network Topology in Optical Switched Networks
Mostafa Dahshan
College of Computer and Information Sciences, King Saud University, Saudi Arabia
College of Computer and Information Sciences, King Saud University, Saudi Arabia
Abstract: This paper presents a new method for finding shortest node-disjoint paths in optical-switched networks with no wavelength conversion. The proposed method is based on a modified version of Dijkstra algorithm that works on an expanded so-called dual-network topology with n×n- nodes and 2×m×n links, where n is the number of nodes and m is the number of links in the original network. Despite the larger network size, the execution time of the algorithm is in polynomial order (mn + n2 log n). Considering that the problem is NP-complete, the presented algorithm takes much less time than using ILP, which takes exponential time. Yet, it is able to find all available disjoint paths obtainable by ILP.
Keywords: Disjoint paths, optical switched networks, network survivability, optimization algorithms.
Received March 17, 2011; accepted May 24, 2011