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数独问题的整数规划模型
引用本文:胡英武.数独问题的整数规划模型[J].金华职业技术学院学报,2011,11(3):86-88.
作者姓名:胡英武
作者单位:金华职业技术学院,浙江金华,321007
基金项目:浙江省教育厅科研项目,金华职业技术学院青年教改项目
摘    要:数独是近年流行的一种益智游戏,其最常见模式是在一个n行×n列又再分成n区共n2个小格的方中,填入适当的数字,使每一行、每一列、每一区都含有数字1~n,不重复.运用0-1规划的方法建立数独问题的整数规划模型,给出了9阶数独模型求解的Lingo程序,最后对模型进行了评价。

关 键 词:数独  0-1规划  整数规划模型

An Integer Programming Model for the Sudoku Problem
HU Ying-wu.An Integer Programming Model for the Sudoku Problem[J].Journal of Jinhua College of Profession and Technology,2011,11(3):86-88.
Authors:HU Ying-wu
Institution:HU Ying-wu(Jinhua Polytechnic,Jinhua 321007,China)
Abstract:Sudoku was a game with incremental intelligence and was popular in many countries.Its most common pattern was to fill the digits 1 through n into a square with n rows by n columns and subdivided n boxes,so that each digit appears once,and only once,in every row,column,and box.An integer programming model for the Sudoku problem was built up through the method of 0-1 programming,and then the lingo procedure was given to solve the model of n=9.Finally,the model was evaluated.
Keywords:Sudoku  0-1 programming  integer programming model
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