A Robust Mixed-Integer Linear Programming Model for Sustainable Collaborative Distribution

Islem Snoussi, Nadia Hamani, Nassim Mrabti and Lyes Kermad
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Islem Snoussi: INSSET, University of Picardie Jules Verne, 02100 Saint-Quentin, France
Nadia Hamani: INSSET, University of Picardie Jules Verne, 02100 Saint-Quentin, France
Nassim Mrabti: INSSET, University of Picardie Jules Verne, 02100 Saint-Quentin, France
Lyes Kermad: IUT de Montreuil, University of Paris 8, 93100 Montreuil, France

Mathematics, 2021, vol. 9, issue 18, 1-27

Abstract: 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 CO 2 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 CO 2 emissions.

Keywords: distribution network design problem (DNDP); robust optimisation; uncertainty budget; mixed-integer linear programming; sustainability; horizontal collaboration (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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