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The Cumulative Capacitated Vehicle Routing Problem Including Priority Indexes

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Green Transportation and New Advances in Vehicle Routing Problems

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Abstract

This chapter studies the Cumulative Capacitated Vehicle Routing Problem including Priority Indexes, a variant of the classical Capacitated Vehicle Routing Problem, which serves the customers according to a certain level of preference. This problem can be effectively implemented in commercial and public environments where green concerns are incorporated, (like the reduction of CO2 emission and energy consumption), and waste collection systems. For this problem, we aim to minimize two objectives: the total latency and the total tardiness of the system. A Mixed-Integer formulation is developed and solved using the AUGMECON approach to obtain true efficient Pareto fronts. However, as expected, the use of commercial software was able to solve only small instances, up to 15 customers. Therefore two metaheuristics were developed to solve the problem, one based on the Non-dominated Sorting Genetic Algorithm (NSGA) and the other based on Particle Swarm Optimization (PSO). These algorithms were used to solve the small instances where True Efficient Fronts were available. Both algorithms provided good solutions, although the NSGA algorithm obtained a better and denser Pareto front. Later, both algorithms were used to solve larger instances with 20–100 customers. The results were mixed in terms of quality, but the PSO algorithm performed faster. The instances solved were modified from benchmarks available in the literature. However, we are convinced that the model and algorithms proposed can be useful to solve a wide variety of situations where economic, environmental, and social concerns are involved.

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Acknowledgements

This work was supported by the Universidad Panamericana through the grant “Fondo Fomento a la Investigación UP 2019”, under project code UP-CI-2019-ING-GDL-08.

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Authors and Affiliations

  1. Universidad Panamericana, Facultad de Ingeniería, Zapopan, Jalisco, Mexico

    Karina Corona-Gutiérrez, Maria-Luisa Cruz, Samuel Nucamendi-Guillén & Elias Olivares-Benitez

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  1. Karina Corona-Gutiérrez
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  2. Maria-Luisa Cruz
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  3. Samuel Nucamendi-Guillén
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  4. Elias Olivares-Benitez
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  1. Department of Quantitative Methods and CS, University of Carthage, Nabeul, Tunisia

    Houda Derbel

  2. Department of Business, Higher Colleges of Technology, Abu Dhabi, United Arab Emirates

    Bassem Jarboui

  3. Laboratoire LiSSi (EA 3956), Université Paris-Est Créteil, Créteil, France

    Patrick Siarry

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Corona-Gutiérrez, K., Cruz, ML., Nucamendi-Guillén, S., Olivares-Benitez, E. (2020). The Cumulative Capacitated Vehicle Routing Problem Including Priority Indexes. In: Derbel, H., Jarboui, B., Siarry, P. (eds) Green Transportation and New Advances in Vehicle Routing Problems. Springer, Cham. https://doi.org/10.1007/978-3-030-45312-1_4

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