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Layer: An Alternative Approach To Solve Large Capacitated Vehicle Routing Problem with Time Window Using AI and Exact Method

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  • Mukherjee, Krishnendu

Abstract

To the best of my knowledge, this problem has never been addressed by any researcher. This paper studies the effect of K-means, the Gaussian Mixture Model (GMM), and the integrated use of autoencoder and K-means on the computational time, MIP gap, feasible route, subtour, and the optimum use of vehicles. Miller-Tucker-Zemlin (MTZ) subtour elimination constraint is considered in this regard. This paper also gives the concept of a “layer”, which could be effective to solve a large vehicle routing problem with a time window (VRPTW) quickly.

Suggested Citation

  • Mukherjee, Krishnendu, 2023. "Layer: An Alternative Approach To Solve Large Capacitated Vehicle Routing Problem with Time Window Using AI and Exact Method," MPRA Paper 117513, University Library of Munich, Germany, revised 12 Jun 2023.
    • Handle: RePEc:pra:mprapa:117513
    as

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    File URL: https://mpra.ub.uni-muenchen.de/117513/1/An%20Integrated%20Approach%20of%20Machine%20Learning%20and%20Mixed%20Integer%20Linear%20Program%20to%20Solve%20Large%20VRPTW%20Problem.pdf
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    References listed on IDEAS

    as
    1. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Machine Learning; Deep Learning; Mixed Integer Linear Program; and Large VRPTW;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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