Global optimization method for mixed transportation network design problem: A mixed-integer linear programming approach

2011 ◽  
Vol 45 (5) ◽  
pp. 808-827 ◽  
Author(s):  
Paramet Luathep ◽  
Agachai Sumalee ◽  
William H.K. Lam ◽  
Zhi-Chun Li ◽  
Hong K. Lo
2014 ◽  
Vol 36 (7-8) ◽  
pp. 642-651 ◽  
Author(s):  
Julia Coelho Lemos ◽  
Bruna Carla Gonçalves Assis ◽  
André Luiz Hemerly Costa ◽  
Eduardo Mach Queiroz ◽  
Fernando Luiz Pellegrini Pessoa ◽  
...  

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2318
Author(s):  
Islem Snoussi ◽  
Nadia Hamani ◽  
Nassim Mrabti ◽  
Lyes Kermad

In this paper, we propose robust optimisation models for the distribution network design problem (DNDP) to deal with uncertainty cases in a collaborative context. The studied network consists of collaborative suppliers who satisfy their customers’ needs by delivering their products through common platforms. Several parameters—namely, demands, unit transportation costs, the maximum number of vehicles in use, etc.—are subject to interval uncertainty. Mixed-integer linear programming formulations are presented for each of these cases, in which the economic and environmental dimensions of the sustainability are studied and applied to minimise the logistical costs and the CO2 emissions, respectively. These formulations are solved using CPLEX. In this study, we propose a case study of a distribution network in France to validate our models. The obtained results show the impacts of considering uncertainty by comparing the robust model to the deterministic one. We also address the impacts of the uncertainty level and uncertainty budget on logistical costs and CO2 emissions.


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