English

A Quantum Optimization Algorithm for Single Machine Total Weighted Tardiness Minimization

Data Structures and Algorithms 2022-09-29 v1

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.

Keywords

Cite

@article{arxiv.2209.13712,
  title  = {A Quantum Optimization Algorithm for Single Machine Total Weighted Tardiness Minimization},
  author = {Youhao Steve Wang and Julian Cheng},
  journal= {arXiv preprint arXiv:2209.13712},
  year   = {2022}
}
R2 v1 2026-06-28T02:14:20.202Z