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arXiv · 1903.06322

Quantum Annealing of Vehicle Routing Problem with Time, State and Capacity

Hirotaka Irie·Goragot Wongpaisarnsin·Masayoshi Terabe·Akira Miki·Shinichirou Taguchi
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Abstract

We propose a brand-new formulation of capacitated vehicle routing problem (CVRP) as quadratic unconstrained binary optimization (QUBO). The formulated CVRP is equipped with time-table which describes time-evolution of each vehicle. Therefore, various constraints associated with time are successfully realized. With a similar method, constraints of capacities are also introduced, where capacitated quantities are allowed to increase and decrease according to the cities which vehicles arrive. As a bonus of capacity-qubits, one also obtains a description of state, which allows us to set a variety of traveling rules, depending on each state of vehicles. As a consistency check, the proposed QUBO formulation is also evaluated by quantum annealing with D-Wave 2000Q.

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Hirotaka Irie, Goragot Wongpaisarnsin, Masayoshi Terabe, Akira Miki, Shinichirou Taguchi. 2019-03-15. Quantum Annealing of Vehicle Routing Problem with Time, State and Capacity. https://arxiv.org/abs/1903.06322

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