With regard to complicated and abnormal issues in the Arctic route,this paper brings forward the approach of combining KJ method and ISM method with EAHP to make diagnosis and analysis the Arctic route issue.

The operations on matrix for both minimax and global-minimum assignment problems of square matrix are applied to those of nonsquare matrix,namely,in the same efficiency with the operations on matrix,both the minimax and global-minimum assignment problems where number of people is unequal to number of tasks are solved.

Theoretical analyses and numerical tests show that the operations on matrix are efficient for both minimax and global-minimum assignment problems.

A graphic operation method is devised which helps to settle the minimum input of capital for clearing the debts and the order of their clearing.

The traditional method is a table method for solving production planning problem with transportation problems characteristics.

To avoid the disadvantage of computation complexity and observation in the process of finding the shortest-paths problem without minus loop by the Ford method,the idea of table-manipulation method is introduced and a new algorithm is presented,which is obtained by improving the efficiency of Ford method and enhancing observation for calculation.

The paper improves the traditional table-manipulation method used to solve the transportation problem with price discount,which is favorable to optimize the transportation plan based on the different transport quantity and with transport price discount.