Research of stability and sensibility of the method of prioritisation of key performance indicators of information system
DOI:
https://doi.org/10.15587/1729-4061.2014.28024Keywords:
key performance indicators, stability, sensitivity, information system, priority level, analytic hierarchy processAbstract
The applied multi-criteria optimization problem - selecting the optimal structure of key performance indicators in the information system with heterogeneous data was considered. Preference relations are based on measurement results, probability estimates and subjective judgments. A modified analytic hierarchy process with exact calculations of the priority matrix eigenvalues was applied. Assessments of accuracy, stability and asymptotic sensitivity of the solving algorithms were given.
A mathematical model to assess the distribution of extreme eigenvalues of the pairwise comparison matrix, analyzed in the presence of errors and perturbations of the matrix elements using the analytic hierarchy process for decision-making within the multicriteria problem was developed. It was shown that the benefit from applying the new proposed methodology for accurate calculation of eigenvalues lies in ensuring the solution stability to perturbations of the values of the matrix elements and errors of intermediate calculations.
The obtained results can be used to improve the efficiency of information systems in two ways. Firstly, evaluation accuracy and detail of priorities of selected key indicators according to their relative importance are improved. Secondly, sustainability of information systems at selected and priority-arranged KPIs are critically evaluated.
References
1. Floudas C. A., P. M. Pardalos. (2009). Encyclopedia of Optimization: Second Edition. Springer Science+Buisiness Media, LLC, 4645.
2. Saaty T. L. (1980). The Analytic Hierarchy Process.McGraw-Hill.New York, 278
3. Vinogradov, N., Drovovozov, V., Savchenko, A., Kudzinovskaya, I. (2011). An analysis of singularity of the matrices of priorities and sensibility of decisions as key performance indicators of the analytic hierarchies process. Journal of Qafqaz University (Mathematics and Computer Sciences), 32, 40–48.
4. Masood, S. A., Jahanzaib, M., Akhtar, K. (2013). Key Performance Indicators Prioritization in Whole Business Process: A Case of Manufacturing Industry. Life Science Journal, 10 (4s), 195–201.
5. Shahin, A., Mahbod, M. A. (2010). Prioritization of key performance indicators: An integration of analytical hierarchy process and goal setting. International Journal of Productivity and Performance Management, 56 (3), 226–240. doi: 10.1108/17410400710731437
6. Gantmakher, F. R. (1966). Matrix Theory. Moscow: Nauka, 576.
7. Faddeev, D. K., Faddeeva, V. N. (1963). Computational Methods of Linear Algebra, second ed. Moscow: Nauka, 656.
8. Tomovich, R., Vukobratovich, M. (1972). Total Theory of Sensibility. Moscow: Sovetskoe Radio, 240.
9. Ouyang, Ye., Hosein Fallah, M. (2010). A Performance Analysis for UMTS Packet Switched Network Based on Multivariate KPIs. International Journal of Next-Generation Networks (IJNGN), 2 (1), 80–94. doi: 10.1109/wts.2010.5479629
10. Nogin, V. D. (2004). The Borders of Appliance of Popular Methods of Scalarisation with Decision of the problems of Multi-criteria Choice. Methods of Disturbance in Homological Algebra and Systems Dynamics: Inter-university Proceedings.Saransk:MordoviaUniv., 59–68.
11. Abbasov, M. E., Barinov, N. P. Once more about the Borders of Appliance Еще раз of Linear Convolution in Analytic Hierarchy Process. Available at: http://www.labrate.ru/discus/messages/23/
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Copyright (c) 2014 Ярослав Иванович Торошанко, Владимир Степанович Шматко, Максим Сергеевич Высочиненко, Анна Александровна Булаковская
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