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Session MB11 - Conception de réseaux II / Network Design II

Day Monday, May 7, 2007
Room Trudeau Corporation
Chair Brigitte Jaumard

Presentations

03h30 PM-
03h55 PM
Classification of Types of Indeterminacy in Designing Structures of Transportation Networks
  Svetlana Peltsverger, Southern Polytechnic State University, Information Technology, 1100 S Marietta Pkwy, Marietta, GA, USA, 30060
Boris Peltsverger, Georgia Southwestern State University, Computer and Information Science, 800 GSW University Drive, Americus, GA, U.S.A., 31709

Types of indeterminacy of the initial data associated with the problems of designing structures of transportation networks are introduced. Formal statements of the problems which reflect the types of indeterminacy and various approaches (interval analysis and fuzzy sets) for their description are presented.


03h55 PM-
04h20 PM
Relaxations and Solution Methods for a Class of Nonlinear Multicommodity Network Design Formulations
  Tolga Bektas, Université de Montréal, CRT, C.P. 6128, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3J7
Teodor Gabriel Crainic, Université du Québec à Montréal et CRT, C.P. 6128, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3J7

We describe relaxations and solution methods for a class of nonlinear multicommodity network design formulations, which allow capacity constraints to be violated at the expense of additional cost. The solution methods are based on Lagrangean relaxation, decomposition, and interior point algorithms. Computational experience with the proposed methods will be reported.


04h20 PM-
04h45 PM
Optical Network Failure Detection
  Sofiane Feki, École Polytechnique de Montréal, Génie informatique, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7
Steven Chamberland, École Polytechnique de Montréal, Génie informatique, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7
Gilles Pesant, École Polytechnique de Montréal, CRT et Génie informatique, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7

Network management systems (NMS) are necessary to control and manage optical networks such as synchronous optical networks (SONET). Following a network element failure, tens and even hundreds of active alarms can be generated on the NMS. In this paper, we propose a constraint programming model to locate the failure or find a set of possible failure scenarios. Numerical results show that this approach can find the solutions rapidly.


04h45 PM-
05h10 PM
A Column Generation Model for Design of Networks using Path-Protecting p-Cycles
  Caroline Rocha, Université de Montréal, Informatique et Recherche Opérationnelle, C.P. 6128, Succ. Centre-Ville, Montréal, Québec, Canada, H3C 3J7
Brigitte Jaumard, GERAD et Concordia University, CIISE, 1455, boul. de Maisonneuve Ouest, CB-410-12, Montréal, Québec, Canada, H3G 1M8
Wayne D. Grover, University of Alberta, ECE Dept. and TRLabs, 2nd Floor ECERF Building, University of Alberta, Edmonton, Alberta, Canada, T6G 2V4
Dimitri Baloukov, University of Alberta, TRLabs and ECE Department,

This work investigates the design of survivable network with failure independent path-protecting (FIPP) p-cycles. A first column generation formulation is proposed for the problem. Preliminary results show a clear advantage of the proposed method over the existing approaches, which do not provide protection for some special cases.


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