Minimum delay modeling of the problem of location-routing-time-dependent perishable multi-product inventory management considering the support coverage of distribution centers

Abstract

The supply chain covers a wide range of topics and several different components and levels. There are many and diverse decisions in the supply chain that need to be examined and analyzed in an integrated and systematic framework, because the insular attitude to these decisions and issues can affect the quality and applicability of the results of these models. Reduce. In this research, a green multi-objective mathematical planning model was presented for the problem of location, routing and inventory, taking into account the perishability of materials, time dependence and coverage of distribution centers. The model has three main goals, including minimizing the costs of the entire chain (including costs such as transportation, inventory, shortage, and perishability), minimizing the delay of machines, and also minimizing the pollutants coming out of the machines. The transportation time dependent on the day and night hours and the corresponding traffic were considered, as well as the support system of the distribution centers to prevent unwanted shortages and increase customer satisfaction in the problem modeling. After designing the model, NSGA II and PESA II meta-heuristic approaches were designed to solve numerical problems in different dimensions and numerical problems in different dimensions were solved using these two algorithms. The obtained results showed that the PESA II algorithm performs better than the multi-objective genetic algorithm both in terms of solving time and in terms of proximity to the optimal solution. In other words, as the dimensions of the problem become larger, the superiority of PESA II becomes more significant both in terms of solving time and in terms of proximity to the optimal solution.