Using Components of the Mahalanobis Squared Norm of the Residuals Vector for Quality Control in Local Engineering Networks

Abstract

Local engineering precision networks are currently used to monitor the displacements of large dams, with safety control purposes. These one, two or three-dimensional networks are local, because they are tied to local reference frames, and they are precision networks, because they aim at millimetric, or even submillimetric, accuracy. The most important obstacles to such an accuracy are the instrumental and environmental systematic errors. The atmospheric refraction, which causes curvature of the path of the electromagnetic waves and changes its propagation velocity, is the major source of systematic errors. Effective measurement quality control strategies are of utmost importance to guarantee the quality of the results (displacements). The paper presents a quality control strategy supported by random quadratic forms that result from the decomposition of the Mahalanobis squared norm of the residuals vector. The strategy is compared to the well known data-snooping method with regard to the quality control and parameter estimation performances.

Diversity of Building Blocks Unity of Construction Rule for Transportation Networks

“…As a new research field, local structure analysis of complex networks has made great progress and been widely used in biology and physics [17]. The local structure of complex network can be used to analyze the structure and organization of key engineering network, and further study the structure form and construction rules of the building blocks, including power network, communication network, etc [18]. On the basis of in-depth understanding of the behavior and function of building blocks, it will help us understand the dynamic characteristics of higher scale engineering network structure.…”