CAJ | 학술논문

本文运用理论分析与模拟相结合的方法，优化地解决了两家炼油厂与车站之间管道铺设的问题，最终得出成本费用最低的管道铺设方案。考虑到在城区里铺设管道有附加费用、城郊区管道铺设的单位长度费用不同，以及共用与非共用管道的单位长度费用不同的情形，最后建立可微的总费用函数，应用求偏导数、解方程组求出驻点，并用黑塞（ Hessel）矩阵和几何模拟等方法手段，推断极小值点，解出总费用函数的最小值点和最优解的解析解，并对数值解进行模拟检验，最后对所建立的模型进行推广。
본문운용이론분석여모의상결합적방법，우화지해결료량가련유엄여차참지간관도포설적문제，최종득출성본비용최저적관도포설방안。고필도재성구리포설관도유부가비용、성교구관도포설적단위장도비용불동，이급공용여비공용관도적단위장도비용불동적정형，최후건립가미적총비용함수，응용구편도수、해방정조구출주점，병용흑새（ Hessel）구진화궤하모의등방법수단，추단겁소치점，해출총비용함수적최소치점화최우해적해석해，병대수치해진행모의검험，최후대소건립적모형진행추엄。
Based on theoretical analysis and simulation , this paper provides an optimized solution to a pipeline planning problem between two refineries and railway station , resulting in a minimal cost plan .Considering the addi-tional costs of constructing pipeline in urban region , different costs per unit length in urban region and rural regions and different costs of communal and non -communal pipelines , the differentiable total cost function is built and through partial derivative and solving equation groups the critical point is obtained .By means of Hessel matrix , ge-ometric simulation and other methods , minimum value point , that of total cost function and optimal analytical solu-tion are obtained .Numerical solutions are simulated and tested and the model is generalized .