The Lexicographic Linear Goal programming is applied to the
Optimal Decision-making of the large Water Networks
Rebuliding & Enlarging project

　　Abstract：The basic model of the lexicographic linear Goal programming is applied to calculating the optinal decision-making of the large water networks rebuliding & enlarging project.A model used for calculating the optimal decision-making of the large water networks rebuliding & enlarging project is constructed.The lexicographic linear Goal programming mutiplestage algorithm is used to calculate. A
correlative calculating program is programmed.According to its calculating characteristics, the procedure
of the lexicographic linear Goal programming sensitivity analysis is made to analyse the constructed
model.The calculating example indicates that，the theory and the method of the lexicographic linear Goal
programming is very suitable for the calculation of the optimal decision—making of the large water networks rebuliding & enlarging project.The result proves satisfactory.The programs are precise and stable.They have scientific and practical guiding value to production.
　　key words：LexiGographic Goal progrmming water networks sensitivity

1 字典序线性目标规划基本模型[1][2]

1.1字典序线性目标规划方法的概念
　　字典序线性目标规划(Lexicopraphic Linear Goal programming)简称LLGP是美国阿波罗计划工程师J.P伊格尼齐奥于1976年在研究目标规划法的基础上提出的一种用目标偏差量有序向量衡量多目标模型目标达成度的字典序最小方法。
1.2数学模型
　　LLGP方法的数学模型为：
　　求x（x₁,x₂,…,x_n）
　　使 Lexmin α={g₁(η,δ),g₂(η,δ),…,g_k(η,δ)}　（1-1-1）
　　　s.t ∑ⁿ_j=1=c_I,jx_j+η_i-δ_i=b_i

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