Under the assumption of normality of securities return,with the help of negative exponential utility function,we solve the problem of portfolio selection,which complies with the conclusion .

Under the conditions of power law utility function and exponential utility function,the strategies of optimal investmant portfolio are investigated,and the optimal control model of variable annuities is constructed for the insurer,and the optimal invetmant strategies for variable annuities are derived.

At first, an exponential utility function has been devised by making use of the Mean-CVaR model and its efficient frontier.

Aiming at the influence of the gross error to the estimated value of the parameter, when determining the undetermined parameters in the negative exponential function using weighted least square method, the paper presents the robust solution of the undetermined parameters.

Utility Function Applied in Cost Optimization of Oil Gas Pipeline Integrity Maintenance;

Spotbeam handover scheme for LEO satellite mobile communication systems by using utility function;

Worst-Case Index based on Utility Function;

First, a new kind of effective function is proposed, by which the decision making matrix with different dimensions and different kinds of indexes is changed uniformly into effective matrix.