| Multi-variable grey model (MGM (1,n,q)) based on genetic algorithm and its application in urban water consumption |
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| 作者姓名： | Yan Han Shi Guoxu |
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| 作者单位： | School of Civil ＆ Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China |
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| 摘 要： | Urban water consumption has some characteristics of grey because it is influenced by economy, population, standard of living and so on. The multi-variable grey model （MGM（1,n））, as the expansion and complement of GM（1,1） model, reveals the relationship between restriction and stimulation among variables, and the genetic algorithm has the whole optimal and parallel characteristics. In this paper, the parameter q of MGM（1,n） model was optimized, and a multi-variable grey model （MGM（1 ,n,q）） was built by using the genetic algorithm. The model was validated by examining the urban water consumption from 1990 to 2003 in Dalian City. The result indicated that the multi-variable grey model （MGM（1,n,q）） based on genetic algorithm was better than MGM（1,n） model, and the MGM（1,n） model was better than MGM（1,1） model.
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| 关 键 词： | 灰色模型 遗传算法 城市 水消耗 |
Multi-variable grey model (MGM (1,n,q)) based on genetic algorithm and its application in urban water consumption |
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| Yan Han,Shi Guoxu.Multi-variable grey model (MGM (1,n,q)) based on genetic algorithm and its application in urban water consumption[J].Agricultural Science ＆ Technology,2007,8(1):14-20. |
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| Authors: | Yan Han Shi Guoxu |
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| Abstract: | Urban water consumption has some characteristics of grey because it is influenced by economy, population, standard of living and so on. The multi-variable grey model (MGM(1,n)), as the expansion and complement of GM(1,1) model, reveals the relationship between restriction and stimulation among variables, and the genetic algorithm has the whole optimal and parallel characteristics. In this paper, the parameter q of MGM(1,n) model was optimized, and a multi-variable grey model (MGM(1,n,q)) was built by using the genetic algorithm. The model was validated by examining the urban water consumption from 1990 to 2003 in Dalian City. The result indicated that the multi-variable grey model (MGM(1,n,q)) based on genetic algorithm was better than MGM(1,n) model, and the MGM(1,n) model was better than MGM(1,1) model. |
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| Keywords: | grey system MGM (1 n q) genetic algorithm urban water consumption grey model water consumption urban application genetic algorithm based better result Dalian City parameter paper optimal parallel relationship restriction stimulation variables expansion complement standard |
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