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Quantum Inspired Algorithm for a VRP with Heterogeneous Fleet Mixed Backhauls and Time Windows

Author

Listed:
  • Meryem Berghida

    (University of Jijel, Jijel, Algeria)

  • Abdelmadjid Boukra

    (University of Science and Technology Houari Boumediene, Bab Ezzouar, Algeria)

Abstract

This paper presents a new Quantum Inspired Harmony Search algorithm with Variable Population Size QIHSVPS for a complex variant of vehicle routing problem (VRP), called HVRPMBTW (Vehicle Routing Problem with Heterogeneous fleet, Mixed Backhauls and Time Windows). This variant is characterized by a limited number of vehicles with various capacities and costs. The vehicles serve two types of customers: linehauls customers and backhauls customers. Each customer must be visited in a specific interval of time. The authors propose to use quantum principles to accelerate evolution process and variable population size to decrease the number of solution's evaluation, when the improvement is insignificant. This new approach was tested on benchmarks and produces satisfactory results compared to other approaches.

Suggested Citation

  • Meryem Berghida & Abdelmadjid Boukra, 2016. "Quantum Inspired Algorithm for a VRP with Heterogeneous Fleet Mixed Backhauls and Time Windows," International Journal of Applied Metaheuristic Computing (IJAMC), IGI Global, vol. 7(4), pages 18-38, October.
    • Handle: RePEc:igg:jamc00:v:7:y:2016:i:4:p:18-38
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    Cited by:

    1. Yu, Yang & Wang, Sihan & Wang, Junwei & Huang, Min, 2019. "A branch-and-price algorithm for the heterogeneous fleet green vehicle routing problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 511-527.
    2. Roger Książek & Katarzyna Gdowska & Antoni Korcyl, 2021. "Recyclables Collection Route Balancing Problem with Heterogeneous Fleet," Energies, MDPI, vol. 14(21), pages 1-16, November.
    3. Yang, Senyan & Ning, Lianju & Shang, Pan & (Carol) Tong, Lu, 2020. "Augmented Lagrangian relaxation approach for logistics vehicle routing problem with mixed backhauls and time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 135(C).
    4. Maria João Santos & Pedro Amorim & Alexandra Marques & Ana Carvalho & Ana Póvoa, 2020. "The vehicle routing problem with backhauls towards a sustainability perspective: a review," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(2), pages 358-401, July.

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