O Problema Integrado de Produção e Roteamento com Flexibilidade nos Prazos de Entrega

Abstract

This paper investigates the integrated problem of production, inventory and routing with flexible delivery times, i.e., deliveries can occur in a set of periods, but subject to penalties. To deal with the problem, an integer linear optimization model is developed that allows flexibility in the delivery deadlines of the demanded items. A production environment is considered with a single factory, capable of producing a finite quantity of distinct products that share production resources. There is a set of customers with their own inventories and a limited fleet of heterogeneous vehicles. Each vehicle performs at most one route per period. The objective of the model is to determine the production, inventory and routing plan that minimizes costs over a finite horizon, meeting demands within the possible periods (\textit{due dates}). Analyses considering a set of instances show that exploring flexibility in delivery times can significantly reduce costs, especially inventory costs. In addition, different scenarios with variations in vehicle capacity and delivery deadlines are evaluated.