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.

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.

In order to get the synthetical estimate value of ship-to-air battle channels,we use three effect functions to calculate the value of index of the project-layer.

The paper uses linear and exponential function as the effect function of transporters to analyze,and to compare the ex- pected effects of three strategies(checking,seizing and fining)of managing exceeing limit and overload transportation in the transporters with different preferences and shows an example.