Calculation of the Behavior Utility of a Network System: Conception and Principle. (February 2018)

• Record Type: Journal Article
• Authors: Hu, Changzhen
• Is Part Of: Engineering. Volume 4:Number 1(2018)
• Page Start: 78
• Page End: 84
• Publication Date: 2018-02
• Subjects: Network metric evaluation -- Differential manifold -- Network behavior utility -- Network attack-defense confrontation; Engineering -- Periodicals; Engineering -- China -- Periodicals; 620.005
• DOI: 10.1016/j.eng.2018.02.010
• Languages: English
• ISSNs: 2095-8099

Abstract

Abstract: The service and application of a network is a behavioral process that is oriented toward its operations and tasks, whose metrics and evaluation are still somewhat of a rough comparison. This paper describes scenes of network behavior as differential manifolds. Using the homeomorphic transformation of smooth differential manifolds, we provide a mathematical definition of network behavior and propose a mathematical description of the network behavior path and behavior utility. Based on the principle of differential geometry, this paper puts forward the function of network behavior and a calculation method to determine behavior utility, and establishes the calculation principle of network behavior utility. We also provide a calculation framework for assessment of the network's attack-defense confrontation on the strength of behavior utility. Therefore, this paper establishes a mathematical foundation for the objective measurement and precise evaluation of network behavior.