Optimization models and techniques applied to transportation problems
Keywords:
fuzzy optimization, metaheuristics, optimization, resource saving, school bus routing problem, vehicle routing problemAbstract
Introduction: Nowadays it is important to rationalize the available resources. In transportation problems, these resources are time, distance, and fuel. One way to guarantee quality solutions for this problem is Artificial Intelligence, through optimization techniques and the treatment of uncertainty.
Objectives: To develop a solution for the vehicle routing problem with which to save fuel in the delivery of goods and to propose a mathematical model with fuzzy constraints for the school bus routing problem to offer decision-makers a set of better-quality options.
Methods: A solution based on the combination of the p-median and Traveling Salesman Agent problems is proposed to solve the vehicle routing problem. This solution includes instance partitioning and the application of metaheuristics. The inclusion of uncertainty in the school bus routing problem is modeled from the constraints of maximum walking distance and bus capacity. They are used the parametric approach and a novel strategy for exploring solutions to treat these constraints.
Results: With the application of the proposed solution for the vehicle routing problem in the context of the TuEnvío virtual store, approximate savings of 68% are achieved in distances traveled and travel times. On the other hand, with the application of the fuzzy model to the school bus routing problem, decision-makers are offered a broader set of options. At the same time, savings of between 11% and 20% are evident.
Conclusions: The results obtained after the evaluation of both proposals show a considerable decrease in the distance traveled by the corresponding vehicle fleets and therefore in the use of fuel and environmental pollution.Downloads
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