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arXiv · 2209.13712

A Quantum Optimization Algorithm for Single Machine Total Weighted Tardiness Minimization

Youhao Steve Wang·Julian Cheng
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Abstract

A single machine total weighted tardiness minimization (TWTM) problem in operational planning is considered. The problem is formulated as an NP-hard constrained combinatorial problem, which has no known deterministic polynomial complexity solution using classical computing. Based on efficient Grover's quantum search and Trugenberger's quantum optimization algorithms, a novel efficient quantum optimization algorithm is proposed to solve the NP-hard single machine TWTM problem, which makes the desired solution satisfying the searching constraints and showing the minimal TWT value be measured with the highest probability.

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Youhao Steve Wang, Julian Cheng. 2022-09-27. A Quantum Optimization Algorithm for Single Machine Total Weighted Tardiness Minimization. https://arxiv.org/abs/2209.13712

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