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The Cartographer
A Quantum Optimization Algorithm for Single Machine Total Weighted Tardiness Minimization
September 27, 2022 Β· Declared Dead Β· π International Symposium on Electronic Commerce
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Authors
Youhao Steve Wang, Julian Cheng
arXiv ID
2209.13712
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
International Symposium on Electronic Commerce
Last Checked
5 months ago
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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