On an Approach to Clustering of Network Traffic

The problem of clustering with a new generalized performance criterion is considered, the concept of the "center of the cluster" is introduced, and it is shown that the definition of the concept is well-defined. Necessary conditions for minimization of the functional are derived in a theorem which encompasses both fuzzy and crisp partitions into clusters. The k-means algorithm, which is based on this necessary condition, finds the optimal cluster iteratively.