A proper weapon system is very important for a na- tional defense system. Generally, it means selecting the optimal weapon system among many alternatives, which is a multiple- attribute decision making （MADM） proble...A proper weapon system is very important for a na- tional defense system. Generally, it means selecting the optimal weapon system among many alternatives, which is a multiple- attribute decision making （MADM） problem. This paper proposes a new mathematical model based on the response surface method （RSM） and the grey relational analysis （GRA）. RSM is used to obtain the experimental points and analyze the factors that have a significant impact on the selection results. GRA is used to an- alyze the trend relationship between alternatives and reference series. And then an RSM model is obtained, which can be used to calculate all alternatives and obtain ranking results. A real world application is introduced to illustrate the utilization of the model for the weapon selection problem. The results show that this model can be used to help decision-makers to make a quick comparison of alternatives and select a proper weapon system from multiple alternatives, which is an effective and adaptable method for solving the weapon system selection problem.展开更多
The aim of this study was to design and construct an improved response surface method(RSM) based on weighted regression for the anti-slide reliability analysis of concrete gravity dam.The limitation and lacuna of the ...The aim of this study was to design and construct an improved response surface method(RSM) based on weighted regression for the anti-slide reliability analysis of concrete gravity dam.The limitation and lacuna of the traditional RSM were briefly analyzed.Firstly,based on small experimental points,research was devoted to an improved RSM with singular value decomposition techniques.Then,the method was used on the basis of weighted regression and deviation coefficient correction to reduce iteration times and experimental points and improve the calculation method of checking point.Finally,a test example was given to verify this method.Compared with other conventional algorithms,this method has some strong advantages:this algorithm not only saves the arithmetic operations but also greatly enhances the calculation efficiency and the storage efficiency.展开更多
基金supported by the National Natural Science Foundation of China(51375389)
文摘A proper weapon system is very important for a na- tional defense system. Generally, it means selecting the optimal weapon system among many alternatives, which is a multiple- attribute decision making （MADM） problem. This paper proposes a new mathematical model based on the response surface method （RSM） and the grey relational analysis （GRA）. RSM is used to obtain the experimental points and analyze the factors that have a significant impact on the selection results. GRA is used to an- alyze the trend relationship between alternatives and reference series. And then an RSM model is obtained, which can be used to calculate all alternatives and obtain ranking results. A real world application is introduced to illustrate the utilization of the model for the weapon selection problem. The results show that this model can be used to help decision-makers to make a quick comparison of alternatives and select a proper weapon system from multiple alternatives, which is an effective and adaptable method for solving the weapon system selection problem.
基金supported by the National Basic Research Program of China (Nos. 2007CB714107 and 90510018)the Trans-Century Training Programme Foundation for the Talents by the State Education Com-mission (No. NCET-06-0270),China
文摘The aim of this study was to design and construct an improved response surface method(RSM) based on weighted regression for the anti-slide reliability analysis of concrete gravity dam.The limitation and lacuna of the traditional RSM were briefly analyzed.Firstly,based on small experimental points,research was devoted to an improved RSM with singular value decomposition techniques.Then,the method was used on the basis of weighted regression and deviation coefficient correction to reduce iteration times and experimental points and improve the calculation method of checking point.Finally,a test example was given to verify this method.Compared with other conventional algorithms,this method has some strong advantages:this algorithm not only saves the arithmetic operations but also greatly enhances the calculation efficiency and the storage efficiency.
