基于漫游数学家模型的输水管道线路优化研究

Study onthe Application of Wanderings Mathematician Model in Long-distance Pipeline Layout Optimization

在传统漫游数学家模型的基础上,考虑输水管线首末水头约束,提出了长距离输水管道线路优化布置的带约束的漫游数学家模型。该模型以管道总投资最小为目标函数,输水线路管段为阶段变量,各管段线路方案为决策变量。实例证明,该模型优化效果良好,计算工作量小,可有效解决供水管网中长距离输水管道线路布置的最优化问题,并为其它长距离管道的优化布置研究提供新的思路。

This paper modifies the traditional wanderings mathematician model,and proposes a constrained mathematical model with known segment function considering the constraint of nodal head.In this model,we use an objective function to minimize the works investment,adopt two decision variables of line schemes and head loss. Example shows： the model can resolve the problem of optimal pipe layout of water distribution network,and provide a basis for developing the highest efficiency of the rural drinking water safety project.