整数线性规划:电子表格求解器卓越没有Excel

Q3 Social Sciences
Evan Barlow
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引用次数: 0

摘要

由于Microsoft Excel中内置优化求解器对问题大小的限制,需要其他软件应用程序来说明电子表格中整数线性规划的功能。LibreOffice Calc中内置的线性优化求解器允许更大的问题。在本文中,我们在LibreOffice Calc中构建了一个电子表格来解决数独问题,并通过一个简单的推广进一步说明了电子表格中整数线性规划的功能。我们考虑的泛化,n-doku,也引入了一个有趣的谜题,作为一个特例,它包括多个数独谜题的并集。除了在电子表格中进一步展示整数线性规划的力量外,我们还使用n-doku解决方案来开发优化直觉,更一般地说,培养批判性思维。我们在课堂上使用这个电子表格,从连续决策过渡到分类决策,强调一次性编码的想法。我们还说明了多重优化,并将偏好添加到数独谜题中,作为引入多目标优化的一种方式。补充材料:在线补充材料可在https://doi.org/10.1287/ited.2022.0068上获得。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Integer Linear Programming: Spreadsheet Solver Excellence Without Excel
Because of the limitations on problem size with the built-in optimization solver in Microsoft Excel, other software applications are required to illustrate the power of integer linear programming in spreadsheets. The built-in linear optimization solver in LibreOffice Calc allows much larger problems. In this paper, we build a spreadsheet in LibreOffice Calc to solve sudoku problems and a simple generalization that further illustrates the power of integer linear programming in spreadsheets. The generalization we consider, n-doku, also introduces an interesting puzzle that includes, as a special case, a union of multiple sudoku puzzles. Besides further demonstrating the power of integer linear programming in spreadsheets, we use the n-doku solutions to develop optimization intuition and to, more generally, foster critical thinking. We use this spreadsheet in the classroom to transition from continuous to categorical decisions, emphasizing the idea of one-hot encoding. We also illustrate multiple optima and add preferences to sudoku puzzles as a way introduce multiobjective optimization. Supplemental Material: The online supplement is available at https://doi.org/10.1287/ited.2022.0068 .
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来源期刊
INFORMS Transactions on Education
INFORMS Transactions on Education Social Sciences-Education
CiteScore
1.70
自引率
0.00%
发文量
34
审稿时长
52 weeks
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