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Subject: Computer Science
Title:
组合优化问题简约与算法推演
Alternative Title: combinatorial optimization problem reduction and algorithm derivation
Author: 郑宇军 ; 薛锦云 ; 凌海风
Keyword: 组合优化问题 ; 问题简约 ; 算法推演 ; 正确性证明
Source: Journal of Software
Issued Date: 2011
Volume: 22, Issue:9, Pages:1985-1993
Indexed Type: EI ; CNKI ; CSCD
Department: 郑宇军 中国科学院软件研究所 计算机科学国家重点实验室;;江西省高性能计算重点实验室 北京 100190 中国. 薛锦云 中国科学院软件研究所 计算机科学国家重点实验室;;江西省高性能计算重点实验室 北京 100190 中国. 凌海风 南京大学管理工程学院 南京 江苏 210093 中国.
Sponsorship: 国家自然科学基金; 科技部国际科学技术合作项目
Abstract: 针对组合优化类问题定义了代数结构模型,从问题的形式规约出发,通过一阶谓词和量词演算将问题逐步简约为搜索空间更小、复杂度更低的子问题,根据问题的简 约关系推导出求解算法,并在构造算法的同时也证明了算法的正确性,开发了原型系统以支持上述形式化的开发过程.这种算法推演技术能够显著提高算法程序设计 的自动化水平,而问题简约的思想也更有利于对算法本质特征的理解.
English Abstract: A unified algebraic model is used to represent optimization problems,which uses a transformational approach that starts from an initial problem specification and reduces it into sub-problems with less complexity.The model then constructs the problem reduction graph (PRG)describing the recurrence relations between the problem,and derives an algorithm with its correctness proof hand-in-hand.A prototype system that implements the formal algorithm development process mechanically is also designed.This approach significantly improves the automation of algorithmic program design and helps to understand inherent characteristics of the algorithms.
Language: 中文
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Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/16009
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
郑宇军,薛锦云,凌海风. 组合优化问题简约与算法推演[J]. Journal of Software,2011-01-01,22(9):1985-1993.
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