基于效用函数的收益型Malmquist指数  被引量:4

Revenue malmquist index based on utility function

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作  者:孙林[1] 李光金[2] 张莉[2] 

机构地区:[1]湖南科技大学管理学院,湘潭411201 [2]四川大学工商管理学院,成都610065

出  处:《系统工程理论与实践》2008年第1期95-99,131,共6页Systems Engineering-Theory & Practice

基  金:国家自然科学基金(70371044)

摘  要:引入效用函数,采用"期望效用最大"的优化原则,获得效率最优的决策单元,并进一步定义了基于效用函数的收益型Malmquist指数,同时对其影响因素进行了分解和经济解释,从而丰富了Malmquist指数模型体系,最后用线性规划给出了求解方法.The former research of Malmquist index all localized in certain situation, namely, the direction of decision making unit approaching production frontier is radical or given in advance. But because of the affects of many uncertain factors, the direction of decision making unit approaching production frontier can't be given in advance. But those traditional metheds can't work out under this situation, so, based on the principle of "Make expecting utility maximal", the optimum decision-making program of the relatively efficiency estimation of Decision Making Units is obtained. Then, defines revenue Malmquist index based on utility function, so, combined with it Malmquist index methodology becomes more perfect. Then, factors of revenue Malmquist index on utility function were decomposed. Finally method of Computation is given.

关 键 词:效用函数 定向技术距离函数 MALMQUIST 指数 

分 类 号:F223[经济管理—国民经济]

 

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