A multi-exchange heuristic for formation of balanced disjoint rings

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Title: A multi-exchange heuristic for formation of balanced disjoint rings
Author: Sasi Kumar, Sarath K
Abstract: Telecommunication networks form an integral part of life . Avoiding failures on these networks is always not possible . Designing network structures that survive these failures have become important in ensuring the reliability of these network structures . With the introduction of SONET (Synchronous Optical Network ) technology , rings have become the preferred survivable network structure . This network configuration has a set of disjoint rings (each node being a part of single ring ) , and these disjoint rings are connected via another main ring . In this research , we present a mathematical model for the design of such disjoint rings with node number balance criterion among the rings . When , given a set of nodes and distances between them , the Balanced Disjoint Rings (BDR ) problem is the minimum total link length clustering of nodes into a given number of disjoint rings in such a way that there is almost the same number of nodes in each ring . The BDR problem is a class of the standard Traveling Salesman Problem (TSP ) . It is clear from this observation that the BDR problem becomes a TSP when the number of rings required is set to one . Hence BDR is NP -Hard , and we do not expect to obtain a polynomial time algorithm for its solution . To overcome this problem , we developed a set of construction heuristics (Break -MST , Distance Method , Hybrid Method , GRASP -Based Distance Method ) and improvement heuristics (Multi -Exchange , Single Move ) . Different combinations of construction and improvement heuristics were implemented and the quality of solution thus obtained was compared to the standard Branch and Cut Technique . It was found that the algorithm with GRASP -Based Distance Method as the construction heuristic and multi -exchange - single -move combination as the improvement heuristic performed better than other combinations . All combinations performed better in general than the standard Branch and Cut technique in terms of solution time .
URI: http : / /hdl .handle .net /1969 .1 /4428
Date: 2006-10-30

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A multi-exchange heuristic for formation of balanced disjoint rings. Available electronically from http : / /hdl .handle .net /1969 .1 /4428 .

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