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基于不可行度的機(jī)壓樹狀管網(wǎng)退火遺傳算法優(yōu)化
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Optimization of Pumping Tree Pipe Network by Using Annealing-genetic Algorithms Based on Infeasible Degree
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    摘要:

    規(guī)定管網(wǎng)中每一管段最多只能由兩種管徑的管道組成,提出一種以管網(wǎng)年費(fèi)用為目標(biāo)函數(shù),以水泵揚(yáng)程、管長和標(biāo)準(zhǔn)管徑為決策變量的機(jī)壓樹狀輸水管網(wǎng)優(yōu)化數(shù)學(xué)模型。定義種群中個(gè)體的不可行度函數(shù),采用基于解的不可行度退火算法處理約束條件。應(yīng)用模擬退火算法,對(duì)解的不可行度進(jìn)行局部優(yōu)化,使其逐步逼近可行解。將遺傳算法全局優(yōu)化和模擬退火的良好局部搜索能力有機(jī)結(jié)合,構(gòu)造出一種退火遺傳算法用于機(jī)壓樹狀管網(wǎng)優(yōu)化設(shè)計(jì)。仿真結(jié)果表明,該模型與算法在求解機(jī)壓樹狀輸水管網(wǎng)優(yōu)化問題上,具有良好的優(yōu)化性能和求解效率。

    Abstract:

    Based on the assumption that every section of pipeline is composed of two diameters, a mathematical model for optimizing the pumping tree pipe network was presented with the objective function of annual cost, using pump head, pipe length and standard diameter as decision variable. The infeasible degree function of solution in the species group was defined, and the constraint condition was handled by adopting annealing algorithm based on the infeasible degree of solution. The infeasible degree of solution was locally optimized through simulated annealing, to make it gradually approach feasible solution. Combined with the genetic algorithm global optimization and good local search capabilities of simulated annealing, a simulated annealing-genetic algorithm for the optimized design of the pumping tree pipe network was established. Simulation results showed that the model and algorithms have good performance for optimizing the pumping tree pipe network.

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王新坤.基于不可行度的機(jī)壓樹狀管網(wǎng)退火遺傳算法優(yōu)化[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2009,40(9):63-67. Optimization of Pumping Tree Pipe Network by Using Annealing-genetic Algorithms Based on Infeasible Degree[J]. Transactions of the Chinese Society for Agricultural Machinery,2009,40(9):63-67.

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