A polynomial time algorithm for the N-Queens problem

Author:

Sosic Rok,Gu Jun

Abstract

The n -queens problem is a classical combinatorial problem in the artificial intelligence (AI) area. Since the problem has a simple and regular structure, it has been widely used as a testbed to develop and benchmark new AI search problem-solving strategies. Recently, this problem has found practical applications in VLSI testing and traffic control. Due to its inherent complexity, currently even very efficient AI search algorithms developed so far can only find a solution for the n -queens problem with n up to about 100. In this paper we present a new, probabilistic local search algorithm which is based on a gradient-based heuristic. This efficient algorithm is capable of finding a solution for extremely large size n -queens problems. We give the execution statistics for this algorithm with n up to 500,000.

Publisher

Association for Computing Machinery (ACM)

Cited by 27 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Optimized massively parallel solving of N‐Queens on GPGPUs;Concurrency and Computation: Practice and Experience;2024-01-03

2. An incremental approach to the n-queen problem with polynomial time;Journal of King Saud University - Computer and Information Sciences;2023-03

3. Scalable N-Queens Solving on GPGPUs via Interwarp Collaborations;2022 Tenth International Symposium on Computing and Networking (CANDAR);2022-11

4. Evaluation and Comparison of Brute-Force Search and Constrained Optimization Algorithms to Solve the N-Queens Problem;Studies in Computational Intelligence;2022

5. N-Vezir Problemi için Lineer Zamanlı Örüntü Temelli Algoritma;Journal of Polytechnic;2020-12-20

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