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The commodity constrained split delivery vehicle routing problem carbon emission: Formulations and a branch-and-cut method

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Author(s):
Ferreira, Kamyla Maria ; Archetti, Claudia ; Delle Donne, Diego ; Morabito, Reinaldo ; Munari, Pedro
Total Authors: 5
Document type: Journal article
Source: EURO JOURNAL ON TRANSPORTATION AND LOGISTICS; v. 14, p. 12-pg., 2025-02-25.
Abstract

This paper introduces the Green Commodity constrained Split Delivery Vehicle Routing Problem (GC-SDVRP), which involves designing efficient and environmentally friendly delivery routes that reduce the CO2 emissions associated with transporting multiple commodities. In this problem, different commodities demanded by a customer can be delivered by one or more vehicles, if beneficial, which poses additional modeling and solution challenges. We propose a relaxed formulation that provides a lower bound on the optimal value of the GC-SDVRP, and adapt two other formulations from the literature to address this problem. Additionally, we develop a branch-and-cut (BC) method based on two of these formulations, and introduce a procedure for deriving feasible solutions to the GC-SDVRP from solutions obtained with the relaxed formulations. The results of computational experiments performed on benchmark instances indicate the superior performance of the BC method based on the proposed formulation. Furthermore, they show that, contrary to the traditional objective of minimizing distance, the GC-SDVRP is significantly easier to solve to optimality and can reduce CO2 emissions by 2.59% compared to the problem that minimizes total travel distance. Our investigation also reveals that increasing vehicle capacity improves solution quality in the GC-SDVRP, while split delivery can enable further reductions in CO2 emissions. Finally, although increasing the number of commodities imposes challenges in solving the problem, the possibility of split delivery mitigates its impact on the value of the final solution, indicating that an increase in the number of commodities does not necessarily result in higher CO2 emissions. (AU)

FAPESP's process: 22/05803-3 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings
Grantee:Reinaldo Morabito Neto
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 23/07988-3 - Vehicle routing problem with multiple commodities, split-delivery and pollutant emission constraints: formulations and exact methods
Grantee:Kamyla Maria Ferreira
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 16/01860-1 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings
Grantee:Reinaldo Morabito Neto
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 22/10303-0 - Vehicle routing problem with loading, split-delivery and pollutant emission constraints: models and algorithms
Grantee:Kamyla Maria Ferreira
Support Opportunities: Scholarships in Brazil - Post-Doctoral