铺设输油管线的优化设计及其参数变动分析

Optimization Design for Pipeline Layout and Analysis of Its Parameters Variation

研究在跨越城郊的区域铺设输油管线的优化设计。提出目标测算的概念用以把握大方向,针对非特定的一般性参数条件,运用数学建模的方法,构造目标函数及其可行域奠定分析基础,通过恰当的多变量置换推导出最优解的解析结果,并且从严格意义上证明其最优性。对于参数出现异常的情形,采用"越界回归"的方法,给出了应对策略以及计算公式,同时阐明了该方法的合理性和有效性。

This paper carries out researches on optimization design for lay pipeline layout in the areas crossing the city. It puts forward the concept of target measure to grasp the general direction, aims to unspecified generalized parameters, and it constructs the objective function with the feasible region and lays the analytical foundation by the method of mathematical modeling, and deduces the optimal analytical results through the appropriate multivariate permutation, and proves its optimality from the strict theoretical significance. For the situation of abnormal parameter, the author adopts the method of ＂cross-border return＂, and presents a complete set of coping strategies and a full set of calculation formula, at the same time it illustrates the rationality and validity of the method.