Gonzalez-Bermejo, S.; Alonso-Linaje, G.; Atchade-Adelomou, P. GPS: A New TSP Formulation for Its Generalizations Type QUBO. Mathematics2022, 10, 416.
Gonzalez-Bermejo, S.; Alonso-Linaje, G.; Atchade-Adelomou, P. GPS: A New TSP Formulation for Its Generalizations Type QUBO. Mathematics 2022, 10, 416.
Gonzalez-Bermejo, S.; Alonso-Linaje, G.; Atchade-Adelomou, P. GPS: A New TSP Formulation for Its Generalizations Type QUBO. Mathematics2022, 10, 416.
Gonzalez-Bermejo, S.; Alonso-Linaje, G.; Atchade-Adelomou, P. GPS: A New TSP Formulation for Its Generalizations Type QUBO. Mathematics 2022, 10, 416.
Abstract
We propose a new binary 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. Furthermore, we present a detailed study of the constraints used and compare our model (GPS) with other frequent formulations (MTZ and native formulation). Finally, we have carried out a coherence and efficiency check of the proposed formulation by running it on a quantum annealing computer, D-Wave\_2000Q6.
Computer Science and Mathematics, Computational Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
