Optimisation of large information systems with diagonal-dominant matrices of key performance indices
DOI:
https://doi.org/10.15587/1729-4061.2014.29774Keywords:
information system, key performance indices, parameter evaluation, optimization, service qualityAbstract
The choice and justification of the number and specific characteristics of key performance indices in complex technical systems is a very urgent task and an important part of the general problem of optimizing such systems. Besides, complexity and contradictions of the target functions within multi-conditional optimization of complex technical systems require prioritizing the selected key performance indices. Therefore, solution of the problems of quantitative assessment as well as analysis and comparison of key performance indices is especially important for designing such systems and controlling their operation.
While numerous scientific works—articles, monographs as well as materials of scientific and technical conferences—present results of a qualitative approach to the above-listed tasks, the present article focuses on quantitative aspects of solving the listed problems.
The major task within the general objective of the research is to analyze the main peculiarities of the matrix of key performance indices for evaluation of the parameters and the state, optimization and management of the service quality, and control over the information system. Multiple correlation and regression analysis laid the basis for methods of flexible evaluation and optimization of the system parameters. We have suggested methods of evaluating partial correlation coefficients and presented the results of calculations based on the typical matrix of correlation between key performance indices. We have analyzed the statistic correlation between the main parameters of an efficient system and a high-quality service. It has been determined that coefficient matrices of normal equations for calculating minimal root-mean-square (RMS) estimations are close to matrices of a diagonal-dominant form. The diagonal-dominant form of matrices facilitates and precipitates iterative search for solutions. The findings can be used in solving problems of optimal design and control of complex technical systems with variable parameters as well as random external and internal perturbations.
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Copyright (c) 2014 Ярослав Иванович Торошанко, Владимир Степанович Шматко, Максим Сергеевич Высочиненко, Анна Александровна Булаковская
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