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Logistic Network Design with a D-Wave Quantum Annealer

Yongcheng Ding, Xi Chen, L. Lamata, E. Solano, M. Sanz·June 24, 2019
PhysicsComputer Science

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Abstract

Logistic network design is an abstract optimization problem which, under the assumption of minimal cost, determines the optimal configuration of infrastructures and facilities of the supply chain based on customer demand. With the solutions at hand, key economic decisions are taken about the location, number, as well as size of manufacturing facilities and warehouses. Therefore, an efficient method to address this question, which is known to be NP-hard, has relevant financial consequences. Here, we propose a hybrid classical-quantum annealing algorithm to accurately obtain the optimal solution. The cost function with constraints is translated to a spin Hamiltonian, whose ground state is supposed to encode the searched result. This algorithm is realized on a D-Wave quantum computer and positively compared with the results of the best classical optimization algorithms. This work shows that state-of-the-art quantum annealers may address useful chain supply problems.

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