Volume 53, Number 3, April-June 2019
|Page(s)||807 - 827|
|Published online||25 June 2019|
Allocating nodes to hubs for minimizing the hubs processing resources: A case study
Université de Tunis, Ecole Nationale Supérieure d’Ingénieurs de Tunis, 5 av. Taha Hussein, 1008 Tunis, Tunisia
2 Université de Tunis, BADEM, Tunis Business School, PO.Box 65, Bir El Kassaa, 2059, Tunisia
3 Department of Industrial Engineering, King Saud University, College of Engineering P.O. Box 800, Riyadh 11421, Saudi Arabia
* Corresponding author: firstname.lastname@example.org
Accepted: 7 September 2017
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.
Mathematics Subject Classification: 90B18 / 90B20 / 90B80 / 90B90 / 90C11 / 90C30
Key words: Hub allocation / Non-linear programming / Combinatorial optimization / Graphs and Networks / Reformulation-Linearization Technique / Telecommunications
© EDP Sciences, ROADEF, SMAI 2019
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