A customer response model considering uncertainty is developed. The laws of demand response (DR) change with economic incentive and other factors are described with load curtailing capacity and response uncertainty. Since the DR based on power-score mechanism should meet the power shortage of the orderly power utilization plan

the relationships between changes of the customer load curve and external factors are described by the uncertain model. Thus not only can the influence of incentives on customer load curtailment or transfer capacity be explained

but also the characteristics of subjectivity and stochasticity of response behaviors are considered. Then a decision model for the grid company is developed and solved by stochastic simulation and extended priority method. Results of case study have verified the effectiveness of the above-mentioned modeling and solving methods. With more comprehensive information provided to the grid company because of the uncertainty of customer response behaviors

the implementation effect on DR can be selectively enhanced as well. This work is supported by National High Technology Research and Development Program of China (863 Program) (No. 2011AA05A115) and National Natural Science Foundation of China (No.71471036

No. 51277028).