【作者】 李可柏；

【导师】 邓群钊；

【作者基本信息】 南昌大学 ， 管理科学与工程， 2005， 硕士

【摘要】 本文结合江西省软科学研究课题《江西省可持续发展定量评价分析研究》展开。研究目的是:拓广基于合流率的系统动力学模型反馈环的枝向量行列式算法,降低求简单有向图所有基本回路算法的时间复杂度,将新算法实际应用,对江西省可持续发展状况进行定量评价和动态分析。本文以可持续发展、系统动力学、组合数学、图论、复杂性分析等理论为工具。主要研究成果有:一、提出三种基于独立流率的系统动力学模型反馈环计算方法:① 流率基本入树枝向量行列式的拓广算法 ② 流位基本入树的流位枝向量行列式算法 ③ 求简单有向图所有基本回路的强核图论算法。结论是,三个算法拓宽了反馈环计算法的应用范围;在反馈环计算上,流位处于比流率更核心的地位。二、建立可持续发展评价的网络结构指标体系,提出结合算法三的ANP指标体系赋权法。三、对江西省2001—2003年的可持续发展状况进行了纵向评价。评价结果表明,近年来江西省可持续发展卓有成效,但存在资源等制约因素。更多还原

【Abstract】 This research was integrated with the soft science research project of Jangxi province, which was quantity evaluation and analysis to sustainable development of Jiangxi province. The purposes were to extend the branch vector determinant algorithm based on compound rate variable in system dynamics model, and to reduce algorithm’s time complexity for calculating all essential loops of a simple directed graph, furthermore, to practically apply the new algorithm to quantitative evaluate and dynamic analyze sustainable development of Jiangxi province. Some disciplines, such as sustainable development, system dynamics, combinatorial math, graph theory and complexity analysis were the implements. The first outcome was that three kinds of algorithms based on independent rate variable were proposed, which can be used for calculating all feedback loops of a system dynamics model. The first of the three kinds of algorithm was extended algorithm for rate variable in-tree branch vector determinant, and the second was level variable in-tree branch vector determinant, and the third was strong kernel graphic algorithm for searching all essential loops of a simple directed graph. A conclusion could be drawn from these three algorithms that the applicable scope of feedback loops’ algorithms was broaden, and in terms of feedback loops’ calculation, level variable was more important than rate variable. The second outcome was that a network indicators of sustainable development was presented, and a determining indicator weight’s method which integrated the above third algorithm and ANP(Analytic Network Process) was proposed. The third outcome was that evaluation on sustainable development of Jiangxi province from 2001 to 2003 was carried out. The results showed that great achievement in sustainable development of Jiangxi province had been achieved in recent years, but there existed restricted factors such as resources.更多还原