一种基于单目标分数规划模型的扶助资源分配方法

A Method of Allocating Assistance Resources Based on Single-Objective Fractional Model

过去的几十年内,中国的经济快速增长,并已于2020年脱离绝对贫困。随着经济整体增速放缓,促进区域间的均衡发展成为了重要的议题。在此背景下,本文以最小化地区发展差异性为目标,建立了一个单目标分数规划数学模型,基于该模型可以得到一系列扶助资源的定量分配方案。通过使用甘肃省各县市的实际经济数据进行数值实验模拟,证明了若基于本文的分配方案对各个区域进行扶助资源分发,可以促进区域均衡发展的同时帮助子区域提升整体发展水平。本文的方法可以应用于实际的非盈利性管理机构中,为制定促进区域均衡协调发展的分配方案提供实质性的管理建议。

Over the past few decades, China’s economy has grown rapidly and it has gotten rid of absolute poverty in 2020. With the overall economic growth slowing down, promoting balanced development among regions has become an important issue. Under this background, this paper establishes a single-objective fractional programming mathematical model to minimize the regional development difference. Based on this model, a series of quantitative allocation schemes of assistance resources can be obtained. By using the actual economic data of counties and cities in Gansu province to carry out numerical simulation, it is proved that if we distribute the assistance resources based on an allocation scheme in this paper, it can promote the balanced development of the region, and at the same time promote overall development. Therefore, the method of this paper can be applied to the actual non-profit organizations to provide substantive management suggestions, so as to promote balanced and coordinated development of regions.