用蚁群算法求解np完全问题

Muhammad Asif, R. Baig
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引用次数: 19

摘要

最近的研究表明,进化算法在为那些属于np完全类算法的问题提供解决方案方面取得了相当大的成功。蚁群优化算法(Ant Colony Optimization, ACO)是进化算法中一个很有前途的领域,它能在多项式时间内给出旅行销售员问题和各种网络路由优化问题的可接受解。这些经典的计算机科学问题属于np完全类问题,这些问题是数学中最有趣的问题之一,包括数独难题。人们试图自动解决数独难题使用暴力,禁忌搜索。考虑到蚁群算法在np完全类问题中的成功,看看它如何处理这个难题将是很有趣的。提出了一种改进标准蚁群算法的新方法。此外,我们将比较蚁群算法的性能矩阵(解的质量和时间复杂度)与过去提出的其他技术来解决数独难题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solving NP-complete problem using ACO algorithm
Recent studies have shown that Evolutionary Algorithms have had reasonable success at providing solutions to those problems that fall in NP-Complete class of algorithms. Ant Colony Optimization (ACO) algorithm is one of the promising field of evolutionary algorithms that gave acceptable solutions to Travelling Salesperson Problem and various Network Routing Optimization problems in polynomial time. These classic computer science problems belong to a NP-Complete class of problems that is amongst some of the most interesting in mathematics, including the Sudoku Puzzle Problem. People have tried to automate solving Sudoku Puzzle Problem using brute force, tabu search. Given the success of ACO algorithm with problems within NP-Complete class of problems, it would be interesting to see how it handles this puzzle. A novel technique is presented as modification to standard ACO algorithm. Moreover, we will compare performance matrix (quality of solution and time complexity) of ACO algorithm with other techniques presented in the past to solve the Sudoku puzzle.
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