摘要
首次提出了我国高校排课中的合班工作对于排课的影响问题,建立了优化合班问题的数学模型,它是一个非线性的整数规划问题.集中讨论二维合班问题.文章中给出了两个适用于合班模型的其它例子,在此基础上归纳出适用于合班模型的一般数学模式,称之为交叉分类问题.
We propos first that combining-classes has great influence upon timetable of Chinese university and give a mathematical model of combinlng-ciasses for this problem. This model is a nonlinear integer programming. The two-dimensional combining-classes is discussed mainly in the paper. Two instances suitable to combining-classes model is given, and conclude general mathematical form suitable to the combining-classes model, this form is named the crossed classification.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第7期103-107,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(10571008)
北京市属市管高等学校人才强教计划资助项目
关键词
高校排课
整数规划
合班问题
交叉分类
University Timetable problem
integer programming
combining-classes
crossed classification
