This paper addresses the problem of allocating the terminal nodes to the hub nodes in a telecommunication network. Since the flow processing induces some undesirable delay, the objective is to minimize the total flow processed by the hubs. This study focuses on a real life network of the tunisian operator Tunisie Telecom whose operations managers are concerned by the quality of service. We provide three compact formulations that give optimal solutions for networks of large size. In particular, the last two are obtained by applying the Reformulation-Linearization Technique to a nonlinear formulation of the problem. The latter formulation derived within this approach is the most computationally effective, as pointed out by the computational experiments conducted on the real life network of Tunisie Telecom with 110 nodes and 5 hubs. Finally, we discuss and compare between the single allocation and double allocation configurations.
Mots-clés : Hub allocation, Non-linear programming, Combinatorial optimization, Graphs and Networks, Reformulation-Linearization Technique, Telecommunications
@article{RO_2019__53_3_807_0, author = {Balma, Ali and Mrad, Mehdi}, title = {Allocating nodes to hubs for minimizing the hubs processing resources: {A} case study}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {807--827}, publisher = {EDP-Sciences}, volume = {53}, number = {3}, year = {2019}, doi = {10.1051/ro/2017065}, zbl = {1423.90044}, mrnumber = {3973924}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2017065/} }
TY - JOUR AU - Balma, Ali AU - Mrad, Mehdi TI - Allocating nodes to hubs for minimizing the hubs processing resources: A case study JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 807 EP - 827 VL - 53 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017065/ DO - 10.1051/ro/2017065 LA - en ID - RO_2019__53_3_807_0 ER -
%0 Journal Article %A Balma, Ali %A Mrad, Mehdi %T Allocating nodes to hubs for minimizing the hubs processing resources: A case study %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 807-827 %V 53 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017065/ %R 10.1051/ro/2017065 %G en %F RO_2019__53_3_807_0
Balma, Ali; Mrad, Mehdi. Allocating nodes to hubs for minimizing the hubs processing resources: A case study. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 3, pp. 807-827. doi : 10.1051/ro/2017065. http://www.numdam.org/articles/10.1051/ro/2017065/
Exactly solving a two-level location problem with modular node capacities. Networks 59 (2012) 161–180. | DOI | MR | Zbl
, and ,Multimodal hub location and hub network design. Omega 40 (2012) 927–939. | DOI
, and ,Network hub location problems: The state of the art. Eur. J. Oper. Res. 190 (2008) 1–21. | DOI | MR | Zbl
and ,Optimizing voice processing resources of the Trunk Gateways in NGN networks. In: Proc. of International Multi-Conference on Complexity, Informatics and Cybernetics: IMCIC 2014 (2014) 152–155.
, and ,Benders Decomposition for Large-Scale Uncapacitated Hub Location. Oper. Res. 59 (2011) 1477–1490. | DOI | MR | Zbl
, and ,The -hub center allocation problem. Eur. J. Operat. Res. 176 (2007) 819–835, ISSN 0377–2217. | DOI | MR | Zbl
, and ,Twenty-Five Years of Hub Location Research. Trans. Sci. 46 (2012) 153–169. | DOI
and ,A hybrid heuristic for the uncapacitated single allocation hub location problem. Omega 35 (2007) 211–220. | DOI
,General network design: A unified view of combined location and network design problem. Eur. J. Operat. Res. 219 (2012) 680–697. | DOI | MR | Zbl
and ,The capacitated single-allocation hub location problem revisited: A note on a classical formulation. Eur. J. Oper. Res. 207 (2010) 92–96. | DOI | MR | Zbl
, and ,Single-assignment hub location problems with multiple capacity levels. Transp. Res. Part B 44 (2010) 1047–1066. | DOI
, and ,Capacitated single allocation hub location problem: a bi-criteria approach. Comput. Oper. Res. 35 (2008) 3671–3695. | DOI | Zbl
, and ,Solution algorithms for the capacitated single allocation hub location problem. Ann. Oper. Res. 86 (1999) 141–159. | DOI | MR | Zbl
and ,Uncapacitated single and multiple allocation -hub center problems. Comput. Oper. Res. 36 (2009) 2230–2241. | DOI | MR | Zbl
, , , and ,Enhanced compact models for the connected subgraph problem and for the shortest path problem in digraphs with negative cycles. Comput. Oper. Res. 40 (2013) 2485–2492. | DOI | MR | Zbl
, and ,Tight compact models and comparative analysis for the prize collecting Steiner tree problem. Discrete Appl. Math. 161 (2013) 618–632. | DOI | MR | Zbl
, and ,Traffic Grooming, Routing, and Wavelength Assignment in Optical WDM Mesh Networks. Proceedings of the IEEE INFOCOM 2004 (2004) 495–501; Available at: DOI: https://doi.org/10.1109/INFCOM.2004.1354521.
and ,On the single-assignment -hub center problem. Eur. J. Oper. Res. 125 (2000) 648–655. | DOI | Zbl
and ,Optimal Location of Data Centers and Software Components in Cloud Computing Network Design. Proceedings of the 12th IEEE/ACM International Symposium on Cluster, Cloud and Grid Computing (CCGrid) (2012) 841–844.
and ,Solving a capacitated hub location problem. Eur. J. Oper. Res. 184 (2008) 468–479. | DOI | MR | Zbl
and ,Hub location problems in transportation networks. Trans. Res. Part E: Logistics and Trans. Rev. 47 (2011) 1092–1111. | DOI
and ,New modeling approaches for the design of local access transport area networks. Eur. J. Oper. Res. 127 (2000) 94–108. | DOI | Zbl
, and ,A hierarchy of relaxations between the continuous and convex hull representations for zero-one programming problems. SIAM J. Discrete Math. 3 (1990) 411–30. | DOI | MR | Zbl
and ,A hierarchy of relaxations and convex hull characteristics for mixed-integer zero-one programming problems. Discrete Appl. Math. 52 (1994) 83–106. | DOI | MR | Zbl
and ,A class of lifted path and flow-based formulations for the asymmetric traveling salesman problem with and without precedence constraints. Discrete Optimiz. 3 (2006) 20–32. | DOI | MR | Zbl
, and ,Solving the hub location problem with modular link capacities. Comput. Oper. Res. 32 (2005) 3227–3245. | DOI | Zbl
and ,An improved MIP heuristic for the intermodal hub location problem. Omega 57 (2015) 203–211. | DOI
, , and ,Cité par Sources :