The weighted vector algorithms in one person and one criterion

The aim of this paper is to summarise the weighted vector algorithms in one person and one criterion of Analytic Hierarchy Process. It includes three parts: The first is a sketch survey of the weighted vector algorithms in one person and one criterion. The second is to link up the relations in several algorithms, and to find the equivalence or the resemblance in them. The last is to study the common character of the optimization algorithms from methodology point of view.