基于博弈交叉效率DEA的装备设计方案评审

基于数据包络分析构建了可以处理效益型、成本型和固定型3种类型指标的多属性综合评价方法.通过引入交叉效率以使评价对象自评与互评相结合,解决了数据包络分析用于多属性综合评价时评价标准不一致的问题;在此基础上,通过引入博弈交叉效率,采取在其它评价对象提升自身效率的同时,被评对象也不断改善效率的策略,弥补了数据包络分析用于多属性综合评价时评价结果不唯一的缺陷,并提升了评价结果的区分度和合理性.通过算例对该方法进行了验证,并将该方法应用于装备设计方案评审,结果表明其能够较好的解决方案的评价排序和择优问题.

Game cross efficiency DEA based project review of equipment design

The multiple attribute comprehensive evaluation models which could deal with three types of index(benefit, cost, fixed) were constructed based on data envelopment analysis(DEA). The cross efficiency concept was introduced to link the self-evaluation with peer-evaluation of decision making unit(DMU) for solving the problem that optimal weights of the DEA based multiple attribute comprehensive evaluation model are non-uniform. A new game cross efficiency concept was combined with the DEA based model to deal with that optimal weights of the DEA based model are non-unique. The game cross efficiency concept, in which each evaluated DMU is seeking to maximize its own efficiency under the condition that the cross efficiency of the other DMU does not deteriorate, enhanced the discrimination and rationality of the evaluation results. The DEA based model was validated by a numerical example and was applied to the project review of equipment design which indicates that the method is efficient in solving the project evaluation, rank and selection problems.