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arXiv · 2401.07763

QISS: Quantum Industrial Shift Scheduling Algorithm

Anna M. Krol·Marvin Erdmann·Rajesh Mishra·Phattharaporn Singkanipa·Ewan Munro·Marcin Ziolkowski·Andre Luckow·Zaid Al-Ars
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Abstract

In this paper, we show the design and implementation of a quantum algorithm for industrial shift scheduling (QISS), which uses Grover's adaptive search to tackle a common and important class of valuable, real-world combinatorial optimization problems. We give an explicit circuit construction of the Grover's oracle, incorporating the multiple constraints present in the problem, and detail the corresponding logical-level resource requirements. Further, we simulate the application of QISS to specific small-scale problem instances to corroborate the performance of the algorithm, and we provide an open-source repository with our code, available on github.com/anneriet/QISS . Our work shows how complex real-world industrial optimization problems can be formulated in the context of Grover's algorithm, and paves the way towards important tasks such as physical-level resource estimation for this category of use cases.

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Anna M. Krol, Marvin Erdmann, Rajesh Mishra, Phattharaporn Singkanipa, Ewan Munro, Marcin Ziolkowski, Andre Luckow, Zaid Al-Ars. 2024-01-15. QISS: Quantum Industrial Shift Scheduling Algorithm. https://arxiv.org/abs/2401.07763

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