.png){kind=icon}
返回
Highly efficient encoding for job-shop scheduling problems and its application on quantum computers
.png){kind=icon}
OA
AI
DOI：10.1088/2058-9565/ad9cba.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Combinatorial optimization problems are considered to be an application, where quantum computing can have transformative impact. In the industrial context, job shop scheduling problems that aim at finding the optimal schedule for a set of jobs to be run on a set of machines are of immense interest. Here we introduce an efficient encoding of job shop scheduling problems, which requires much fewer bit-strings for counting all possible schedules than previously employed encodings. For problems consisting of N jobs with N operations, the number of required bit-strings is at least reduced by a factor N/log(2)(N) as compared to time indexed encodings. This is particularly beneficial for solving job shop scheduling problems on quantum computers, since much fewer qubits are needed to represent the problem. Our approach applies to the large class of flexible and usual job-shop scheduling problems, where operations can possibly be executed on multiple machines. Using variational quantum algorithms, we show that the encoding we introduce leads to significantly better performance of quantum algorithms than previously considered strategies. Importantly, the encoding we develop also enables significantly more compact classical representations and will therefore be highly useful even beyond applicability on quantum hardware.
Keyword:
quantum computing
optimization
combinatorics
job shop scheduling
期刊
IF:
5
论文数:
1.4K
被引数:
5.1K
机构
暂无机构信息
引用论文
Quantum approximate optimization of the long-range Ising model with a trapped-ion quantum simulator使用陷阱离子量子模拟器对远程Ising模型进行量子近似优化
OAAI
OAAI分享收藏Effect of stress on the behavior and 5-HT system in Sprague-Dawley and Wistar Kyoto rat strains
PREAI
分享收藏A Pilot Quantitative Study of Topographic Correlation between Reticular Pseudodrusen and the Choroidal Vasculature Using En Face Optical Coherence Tomography.png)
PLoS ONEOAAI
PLoS ONEIF0
OAAI分享收藏
查看更多内容