ILP Model and Relaxation-Based Decomposition Approach for Incremental Topology Optimization in p-Cycle Networks

p-cycle networks have attracted a considerable interest in the network survivability literature in recent years. However, most of the existing work assumes a known network topology upon which to apply p-cycle restoration. In the present work, we develop an incremental topology optimization ILP for p...

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Main Authors: Md. Noor-E-Alam, Ahmed Zaky Kasem, John Doucette
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Computer Networks and Communications
Online Access:http://dx.doi.org/10.1155/2012/546301
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author Md. Noor-E-Alam
Ahmed Zaky Kasem
John Doucette
author_facet Md. Noor-E-Alam
Ahmed Zaky Kasem
John Doucette
author_sort Md. Noor-E-Alam
collection DOAJ
description p-cycle networks have attracted a considerable interest in the network survivability literature in recent years. However, most of the existing work assumes a known network topology upon which to apply p-cycle restoration. In the present work, we develop an incremental topology optimization ILP for p-cycle network design, where a known topology can be amended with new fibre links selected from a set of eligible spans. The ILP proves to be relatively easy to solve for small test case instances but becomes computationally intensive on larger networks. We then follow with a relaxation-based decomposition approach to overcome this challenge. The decomposition approach significantly reduces computational complexity of the problem, allowing the ILP to be solved in reasonable time with no statistically significant impact on solution optimality.
format Article
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institution Kabale University
issn 2090-7141
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Computer Networks and Communications
spelling doaj-art-370f55791cbd40c19f11cd5509789e632025-08-20T03:55:02ZengWileyJournal of Computer Networks and Communications2090-71412090-715X2012-01-01201210.1155/2012/546301546301ILP Model and Relaxation-Based Decomposition Approach for Incremental Topology Optimization in p-Cycle NetworksMd. Noor-E-Alam0Ahmed Zaky Kasem1John Doucette2Department of Mechanical Engineering, University of Alberta, 4-9 Mechanical Engineering Building, Edmonton, AB, T6G 2G8, CanadaDepartment of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2V4, CanadaDepartment of Mechanical Engineering, University of Alberta, 4-9 Mechanical Engineering Building, Edmonton, AB, T6G 2G8, Canadap-cycle networks have attracted a considerable interest in the network survivability literature in recent years. However, most of the existing work assumes a known network topology upon which to apply p-cycle restoration. In the present work, we develop an incremental topology optimization ILP for p-cycle network design, where a known topology can be amended with new fibre links selected from a set of eligible spans. The ILP proves to be relatively easy to solve for small test case instances but becomes computationally intensive on larger networks. We then follow with a relaxation-based decomposition approach to overcome this challenge. The decomposition approach significantly reduces computational complexity of the problem, allowing the ILP to be solved in reasonable time with no statistically significant impact on solution optimality.http://dx.doi.org/10.1155/2012/546301
spellingShingle Md. Noor-E-Alam
Ahmed Zaky Kasem
John Doucette
ILP Model and Relaxation-Based Decomposition Approach for Incremental Topology Optimization in p-Cycle Networks
Journal of Computer Networks and Communications
title ILP Model and Relaxation-Based Decomposition Approach for Incremental Topology Optimization in p-Cycle Networks
title_full ILP Model and Relaxation-Based Decomposition Approach for Incremental Topology Optimization in p-Cycle Networks
title_fullStr ILP Model and Relaxation-Based Decomposition Approach for Incremental Topology Optimization in p-Cycle Networks
title_full_unstemmed ILP Model and Relaxation-Based Decomposition Approach for Incremental Topology Optimization in p-Cycle Networks
title_short ILP Model and Relaxation-Based Decomposition Approach for Incremental Topology Optimization in p-Cycle Networks
title_sort ilp model and relaxation based decomposition approach for incremental topology optimization in p cycle networks
url http://dx.doi.org/10.1155/2012/546301
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AT johndoucette ilpmodelandrelaxationbaseddecompositionapproachforincrementaltopologyoptimizationinpcyclenetworks