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GPS: A New TSP Formulation for Its Generalizations Type QUBO

Author

Listed:
  • Saul Gonzalez-Bermejo

    (Facultad de Ciencias, Campus Miguel Delibes, Universidad de Valladolid, C/Plaza de Santa Cruz, 8, 47002 Valladolid, Spain)

  • Guillermo Alonso-Linaje

    (Facultad de Ciencias, Campus Miguel Delibes, Universidad de Valladolid, C/Plaza de Santa Cruz, 8, 47002 Valladolid, Spain)

  • Parfait Atchade-Adelomou

    (Research Group on Data Science for the Digital Society, La Salle, Universitat Ramon Llull, Carrer de Sant Joan de La Salle, 42, 08022 Barcelona, Spain
    Lighthouse Disruptive Innovation Group, LLC, 7 Broadway Terrace, Apt. 1, Cambridge, MA 02139, USA)

Abstract

We propose a new Quadratic Unconstrained Binary Optimization (QUBO) formulation of the Travelling Salesman Problem (TSP), with which we overcame the best formulation of the Vehicle Routing Problem (VRP) in terms of the minimum number of necessary variables. After, we will present a detailed study of the constraints subject to the new TSP model and benchmark it with MTZ and native formulations. Finally, we will test whether the correctness of the formulation by entering it into a QUBO problem solver. The solver chosen is a D-Wave_2000Q6 quantum computer simulator due to the connection between Quantum Annealing and QUBO formulations.

Suggested Citation

  • Saul Gonzalez-Bermejo & Guillermo Alonso-Linaje & Parfait Atchade-Adelomou, 2022. "GPS: A New TSP Formulation for Its Generalizations Type QUBO," Mathematics, MDPI, vol. 10(3), pages 1-20, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:416-:d:736786
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    Citations

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    Cited by:

    1. Faten Aljalaud & Heba Kurdi & Kamal Youcef-Toumi, 2023. "Bio-Inspired Multi-UAV Path Planning Heuristics: A Review," Mathematics, MDPI, vol. 11(10), pages 1-35, May.
    2. Fernando L. Pelayo & Mauro Mezzini, 2022. "Preface to the Special Issue on “Quantum Computing Algorithms and Computational Complexity”," Mathematics, MDPI, vol. 10(21), pages 1-3, October.

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