CAJ | 학술논문

圆形区域分散布局问题是一类常见的数学问题，在区域分散布局的科学研究中占据了重要的位置。针对该类问题，文中建立了两个布局模型，分别为基于目标函数最小距离最大化的布局模型、基于对数函数惩罚性特点的分散布局模型。结合圆形布局区域的对称性与布局模型，得到了两个布局相关的基本结论，并给出了证明。实例求解表明，采用了序列二次型规划方法得出的数值结果与理论吻合。
원형구역분산포국문제시일류상견적수학문제，재구역분산포국적과학연구중점거료중요적위치。침대해류문제，문중건립료량개포국모형，분별위기우목표함수최소거리최대화적포국모형、기우대수함수징벌성특점적분산포국모형。결합원형포국구역적대칭성여포국모형，득도료량개포국상관적기본결론，병급출료증명。실례구해표명，채용료서렬이차형규화방법득출적수치결과여이론문합。
Scattered layout problem is a class of common mathematical problem in the field of decentralized layout scientific research occupied an important position . To solve such problems , we established two decentralized layout programming models .The one is based on the principle of Max Min , the other is on the basis of the penalty property of logarithmic function .There are two relevant conclusions be proposed through the analysis of the layout models and proved in detail .With concreted examples , the results using SQP method derived are consistent with the theoretical .Therefore, the programming models and theories presented in this paper possessed important guiding significance of actual dispersed layout problems .