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We address the applicability of hybrid quantum-classical solvers forpractical railway rescheduling management problems. We build an integer linearmodel for the given problem and solve it with D-Wave's quantum-classical hybridsolver as well as with CPLEX for comparison. The proposed approach isdemonstrated on a real-life heterogeneous urban network in Poland, includingboth single- and double segments and covers all the requirements posed by theoperator of the network. The computational results demonstrate the readinessfor application and benefits of quantum-classical hybrid solvers in the arealistic railway scenario: they yield acceptable solutions on time, which is acritical requirement in a rescheduling situation. At the same time, theobtained solutions are feasible and in sometimes suboptimal. Moreover, thoughthey are heuristics they offer a valid alternative and most importantly,outperform classical solvers in some cases.

Solving rescheduling problems in heterogeneous urban railway networks using hybrid quantum-classical approach