GPS: A New TSP Formulation for Its Generalizations Type QUBO
Saúl González-Bermejo, Guillermo Alonso-Linaje, Parfait Atchade-Adelomou
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.
Topics & Concepts
Quadratic unconstrained binary optimizationTravelling salesman problemQuantum annealingSolverCorrectnessComputer scienceBenchmark (surveying)Mathematical optimizationSimulated annealingMathematicsQuantumQuantum computerAlgorithmGeographyQuantum mechanicsGeodesyPhysicsQuantum Computing Algorithms and ArchitectureQuantum Information and CryptographyAdvanced Optimization Algorithms Research