Matheurística com Abordagem Hierárquica Aplicada ao Problema de Roteamento de Veículos Capacitados e ao Problema de Roteamento de Helicópteros

• Autor(a) principal: Machado, André Manhães
• Data de Publicação: 2021
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Repositório Institucional da Universidade Federal do Espírito Santo (riUfes)
• Texto Completo: http://repositorio.ufes.br/handle/10/15443
• topic: Roteamento de veículos capacitados; roteamento de helicópteros; Greedy Randomized Adaptive Search Procedure (GRASP); Variable Neighborhood Search (VNS); Problema de Cobertura de Conjuntos (PCC); Problema de Particionamento de Conjuntos (PPC); subject.br-rjbn; Ciência da Computação

This work develops a hybrid matheuristic based on the approach Route-First-Cluster-Second (RFCS) by applying Greedy Randomized Adaptive Search Procedure (GRASP), mathematical models and Variable Neighborhood Search (VNS) to tackle two types of vehicle routing problems: the Capacitated Vehicle Routing Problem (CVRP) and the Helicopter Routing Problem (HRP). At rst, in the proposed method, a routing is performed using constructive heuristics and the Set Covering Problem (SCP). SCP employs local optima solutions found in previous iterations of VNS to create a partial tour which is lled by a constructive heuristic if needed. Then, the built solution undergoes a local search phase by VNS. This process is repeated as the main loop of the GRASP. As last step of the method, the Set Partitioning Problem (SPP) provides a new improved solution with regard to solutions found in the GRASP. In relation to the study problems, the CVRP consists of designing a set of routes for a eet of identical vehicles to attend a set of customers at shortest distance travelled, while the HRP aims of serving a set of transportation requests, dened as a pair of boarding and landing locations, using helicopters as the mode of transportation to minimize the cost of meeting the set of transportation requests. Besides, we propose a new HRP model to address unique characteristics of oshore platforms through a novel constraint to solve an issue that remains unnoticed until now: oshore platforms can be visited by helicopters one at a time. We also add the possibility to make multiple trips inside each route and enforce time window to attend passengers. Besides, the model has restrictions regarding to the total time of the ight, the fuel consumption, the total weight during the ight, the number of seats used by passengers. The matheuristic is proposed in two versions. The rst one solves the CVRP, and it is tested in seven benchmarks using other heuristics in the literature as a comparison. The second version is applied in two models of the HRP, where the method is tested in 37 instances with up to 1000 requests. Computational experiments showed that the proposed matheuristic for CVRP is competitive in terms of the quality for solutions reported in recent works. Moreover, in relation to the HRP, the matheuristic achieves results equal to or greater than other heuristics in 36 instances.