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Published in: Soft Computing 6/2019

13-11-2017 | Methodologies and Application

A parallel hybrid optimization algorithm for some network design problems

Authors: Ibrahima Diarrassouba, Mohamed Khalil Labidi, A. Ridha Mahjoub

Published in: Soft Computing | Issue 6/2019

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Abstract

Network design problems have been widely studied in the last decades due to the importance of ICT in our daily life and are still the subject of extensive researches. Network design covers a large family of problems, and several algorithms, both exact and heuristic methods, have been proposed to address each of them. In this paper, we consider two variants of the so-called survivable network design problem and propose a generic parallel hybrid algorithm to solve them. The algorithm is based on the hybridization of a Lagrangian relaxation algorithm, a greedy algorithm and a genetic algorithm. We present, for each variant, a computational study showing the efficiency of our approach in producing both lower and upper bounds for the optimal solution.

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Literature
go back to reference Ahuja RK, Magnanti TL, Orlin JB (1993) Network flows: theory, algorithms, and applications. Prentice-Hall Inc., Upper Saddle RiverMATH Ahuja RK, Magnanti TL, Orlin JB (1993) Network flows: theory, algorithms, and applications. Prentice-Hall Inc., Upper Saddle RiverMATH
go back to reference Beasley J E (1993) Modern heuristic techniques for combinatorial problems. Chapter lagrangian relaxation. Wiley, New York, pp 243–303 Beasley J E (1993) Modern heuristic techniques for combinatorial problems. Chapter lagrangian relaxation. Wiley, New York, pp 243–303
go back to reference Bendali F, Diarrassouba I, Didi Biha M, Mahjoub AR, Mailfert J (2010) A branch-and-cut algorithm for the \(k\)-edge connected subgraph problem. Networks 55(1):13–32MathSciNetMATHCrossRef Bendali F, Diarrassouba I, Didi Biha M, Mahjoub AR, Mailfert J (2010) A branch-and-cut algorithm for the \(k\)-edge connected subgraph problem. Networks 55(1):13–32MathSciNetMATHCrossRef
go back to reference Botton Q, Fortz B, Gouveia L, Poss M (2013) Benders decomposition for the hop-constrained survivable network design problem. INFORMS J Comput 25(1):13–26MathSciNetCrossRef Botton Q, Fortz B, Gouveia L, Poss M (2013) Benders decomposition for the hop-constrained survivable network design problem. INFORMS J Comput 25(1):13–26MathSciNetCrossRef
go back to reference Diarrassouba I, Gabrel V, Gouveia L, Mahjoub AR, Pesneau P (2016a) Integer programming formulations for the \(k\)-edge-connected 3-hop-constrained network design problem. Networks 67(2):148–169MathSciNetMATHCrossRef Diarrassouba I, Gabrel V, Gouveia L, Mahjoub AR, Pesneau P (2016a) Integer programming formulations for the \(k\)-edge-connected 3-hop-constrained network design problem. Networks 67(2):148–169MathSciNetMATHCrossRef
go back to reference Diarrassouba I, Mahjoub AR, Kutucu H (2016b) Two node-disjoint hop-constrained survivable network design and polyhedra. Networks 67(4):316–337MathSciNetMATHCrossRef Diarrassouba I, Mahjoub AR, Kutucu H (2016b) Two node-disjoint hop-constrained survivable network design and polyhedra. Networks 67(4):316–337MathSciNetMATHCrossRef
go back to reference Diarrassouba I, Mahjoub AR, Yaman H (2017) Integer programming formulations for \(k\)-node-connected hop-constrained survivable network design problem. In: Cahier du LAMSADE, vol 382 Diarrassouba I, Mahjoub AR, Yaman H (2017) Integer programming formulations for \(k\)-node-connected hop-constrained survivable network design problem. In: Cahier du LAMSADE, vol 382
go back to reference Goemans MX, Bertsimas DJ (1993) Survivable networks, linear programming relaxations and the parsimonious property. Math Program 60(1–3):145–166MathSciNetMATHCrossRef Goemans MX, Bertsimas DJ (1993) Survivable networks, linear programming relaxations and the parsimonious property. Math Program 60(1–3):145–166MathSciNetMATHCrossRef
go back to reference Grötschel M, Monma CL (1990) Integer polyhedra arising from certain network design problems with connectivity constraints. SIAM J Discrete Math 3(4):502–523MathSciNetMATHCrossRef Grötschel M, Monma CL (1990) Integer polyhedra arising from certain network design problems with connectivity constraints. SIAM J Discrete Math 3(4):502–523MathSciNetMATHCrossRef
go back to reference Grötschel M, Monma CL, Stoer M (1992) Facets for polyhedra arising in the design of communication networks with low-connectivity constraints. SIAM J Optim 2(3):474–504 Grötschel M, Monma CL, Stoer M (1992) Facets for polyhedra arising in the design of communication networks with low-connectivity constraints. SIAM J Optim 2(3):474–504
go back to reference Held M, Karp RM (1971) The traveling-salesman problem and minimum spanning trees: part ii. Math Program 1(1):6–25MATHCrossRef Held M, Karp RM (1971) The traveling-salesman problem and minimum spanning trees: part ii. Math Program 1(1):6–25MATHCrossRef
go back to reference Huygens D, Labbé M, Mahjoub AR, Pesneau P (2007) The two-edge connected hop-constrained network design problem: valid inequalities and branch-and-cut. Networks 49(1):116–133MathSciNetMATHCrossRef Huygens D, Labbé M, Mahjoub AR, Pesneau P (2007) The two-edge connected hop-constrained network design problem: valid inequalities and branch-and-cut. Networks 49(1):116–133MathSciNetMATHCrossRef
go back to reference Kerivin H, Mahjoub AR, Nocq C (2004) (1, 2)-Survivable networks: facets and branch-and-cut. In: Grötschel M (ed) The Sharpest Cut, MPS-SIAM series in Optimization. SIAM, pp 121–152 Kerivin H, Mahjoub AR, Nocq C (2004) (1, 2)-Survivable networks: facets and branch-and-cut. In: Grötschel M (ed) The Sharpest Cut, MPS-SIAM series in Optimization. SIAM, pp 121–152
go back to reference Magnanti TL, Raghavan S (2005) Strong formulations for network design problems with connectivity requirements. Networks 45(2):61–79MathSciNetMATHCrossRef Magnanti TL, Raghavan S (2005) Strong formulations for network design problems with connectivity requirements. Networks 45(2):61–79MathSciNetMATHCrossRef
go back to reference Steiglitz K, Weiner P, Kleitman D (1969) The design of minimum-cost survivable networks. IEEE Trans Circuit Theory 16(4):455–460MathSciNetCrossRef Steiglitz K, Weiner P, Kleitman D (1969) The design of minimum-cost survivable networks. IEEE Trans Circuit Theory 16(4):455–460MathSciNetCrossRef
go back to reference Talbi E-G (2002) A taxonomy of hybrid metaheuristics. J Heuristics 8(5):541–564CrossRef Talbi E-G (2002) A taxonomy of hybrid metaheuristics. J Heuristics 8(5):541–564CrossRef
Metadata
Title
A parallel hybrid optimization algorithm for some network design problems
Authors
Ibrahima Diarrassouba
Mohamed Khalil Labidi
A. Ridha Mahjoub
Publication date
13-11-2017
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 6/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2907-x

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