Solving odd even sudoku puzzles by binary integer linear programming

Hui Yu, Yuchao Tang, Chunxiang Zong
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Abstract

Solving sudoku is a very challenging problem. It is not only a logic problem, but also can be seen as a mathematic problem. In this paper, we develop a binary integer linear programming (BILP) model for solving Odd/Even sudoku puzzles. Consequently, we solve the BILP model by using the optimization toolbox of MATLAB software. The performance of the proposed model was tested under different difficulty levels of Odd/Even sudoku puzzles. Numerical results show that it can successfully solve the Odd/Even sudoku puzzles in a quick time.
二进制整数线性规划解奇偶数独
数独是一个非常具有挑战性的问题。它不仅是一个逻辑问题,而且可以看作是一个数学问题。在本文中,我们建立了一个二进制整数线性规划(BILP)模型来解决奇/偶数独问题。因此,我们利用MATLAB软件的优化工具箱对BILP模型进行求解。在奇数/偶数数独的不同难度下测试了该模型的性能。数值计算结果表明,该方法能够在较短的时间内成功解出奇数/偶数数独。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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