Formal signs determination of efficiency assessment indicators for the operation with the distributed parameters

Igor Lutsenko, Elena Fomovskaya, Iryna Oksanych, Elena Vikhrova, Olga Serdiuk

Abstract


Optimization criterion is a reference point for the choice of such technological process parameters to provide the maximum coherence of operational process results with the purpose of its owner. The complexity of this task is mostly connected with the fact that up to the present moment a large number of indicators, designed for operational processes efficiency assessment have already been developed and continue to be developed. It is especially important for operations with the distributed parameters.

Therefore, the priority is a preliminary selection of the known indicators with the use of formal signs. It allows reducing significantly the number and the length of the studies at the second and the final testing stages with applying the methods of mathematical modeling.

With the use of the cybernetic production operation model, created in the work, the formal signs, which should have the estimated indicators, proposed for efficiency definition of operations with the distributed parameters have been defined.

As a result of the performed researches, it has been established that any system operation model can be presented in the form of parametrically comparable input and output functions.

As the efficiency of operations with the distributed in time parameters is essentially affected by the distribution function form, the possibility of separate classes’ comparative assessment of such operations has been investigated.

It has been established that the second integrated parameter from the input and output function has sensitivity to a change in the distribution function form.

The obtained results can be used for the selection of indicators designed to measure operations efficiency by formal signs. Also, the results of the work can be used for cybernetic estimated indicators creation.


Keywords


estimated indicators signs; indicators verification method; operation with the distributed parameters

Full Text:

PDF

References


Lutsenko, I., Vihrova, E., Fomovskaya, E., Serdiuk, O. (2016). Development of the method for testing of efficiency criterion of models of simple target operations. Eastern-European Journal of Enterprise Technologies, 2 (4 (80)), 42–50. doi: 10.15587/1729-4061.2016.66307

Wu, Y., Cheng, T. C. E. (2006). Henig efficiency of a multi-criterion supply-demand network equilibrium model. Journal of Industrial and Management Optimization, 2 (3), 269–286. doi: 10.3934/jimo.2006.2.269

Anishchenka, U. V., Kryuchkov, A. N., Kul’bak, L. I., Martinovich, T. S. (2008). Optimization of the structure of multifunctional information systems according to the criterion of a required value of the efficiency ratio. Automatic Control and Computer Sciences, 42 (4), 203–209. doi: 10.3103/s0146411608040068

Miskowicz, M. (2010). Efficiency of Event-Based Sampling According to Error Energy Criterion. Sensors, 10 (3), 2242–2261. doi: 10.3390/s100302242

Xu, Q., Wehrle, E., Baier, H. (2012). Adaptive surrogate-based design optimization with expected improvement used as infill criterion. Optimization, 61 (6), 661–684. doi: 10.1080/02331934.2011.644286

Xia, L. (2016). Optimization of Markov decision processes under the variance criterion. Automatica, 73, 269–278. doi: 10.1016/j.automatica.2016.06.018

Vasilyev, E. S. (2013). Optimization of the architecture of a charge pump device on the basis of the energy efficiency criterion. Journal of Communications Technology and Electronics, 58 (1), 95–99. doi: 10.1134/s1064226913010099

Shorikov, A. F., Rassadina, E. S. (2010). Multi-criterion optimization of production range generation by an enterprise. Economy of Region, 2, 189–196. doi: 10.17059/2010-2-18

Mansour, M. R., Delbem, A. C. B., Alberto, L. F. C., Ramos, R. A. (2015). Integrating Hierarchical Clustering and Pareto-Efficiency to Preventive Controls Selection in Voltage Stability Assessment. Evolutionary Multi-Criterion Optimization, 487–497. doi: 10.1007/978-3-319-15892-1_33

Harchenko, V. P., Babeychuk, D. G., Slyunyaev, O. S. (2009). Optimization of network information air navigation facilities by the generalized criterion of efficiency. Proceedings of National Aviation University, 31 (1), 3–5. doi: 10.18372/2306-1472.38.1650

Lutsenko, I. (2015). Identification of target system operations. determination of the value of the complex costs of the target operation. Eastern-European Journal of Enterprise Technologies, 1 (2 (73)), 31–36. doi: 10.15587/1729-4061.2015.35950

Lutsenko, I. (2015). Identification of target system operations. development of global efficiency criterion of target operations. Eastern-European Journal of Enterprise Technologies, 2 (2 (74)), 35–40. doi: 10.15587/1729-4061.2015.38963


GOST Style Citations


Lutsenko, I. Development of the method for testing of efficiency criterion of models of simple target operations [Text] / I. Lutsenko, E. Vihrova, E. Fomovskaya, O. Serdiuk // Eastern-European Journal of Enterprise Technologies. – 2016. – Vol. 2, Issue 4 (80). – P. 42–50. doi: 10.15587/1729-4061.2016.66307 

Wu, Y. Henig efficiency of a multi-criterion supply-demand network equilibrium model [Text] / Y. Wu, T. C. E. Cheng // Journal of Industrial and Management Optimization. – 2006. – Vol. 2, Issue 3. – P. 269–286. doi: 10.3934/jimo.2006.2.269 

Anishchenka, U. V. Optimization of the structure of multifunctional information systems according to the criterion of a required value of the efficiency ratio [Text] / U. V. Anishchenka, A. N. Kryuchkov, L. I. Kul’bak, T. S. Martinovich // Automatic Control and Computer Sciences. – 2008. – Vol. 42, Issue 4. – P. 203–209. doi: 10.3103/s0146411608040068 

Miskowicz, M. Efficiency of Event-Based Sampling According to Error Energy Criterion [Text] / M. Miskowicz // Sensors. – 2010. – Vol. 10, Issue 3. – P. 2242–2261. doi: 10.3390/s100302242 

Xu, Q. Adaptive surrogate-based design optimization with expected improvement used as infill criterion [Text] / Q. Xu, E. Wehrle, H. Baier // Optimization. – 2012. – Vol. 61, Issue 6. – P. 661–684. doi: 10.1080/02331934.2011.644286 

Xia, L. Optimization of Markov decision processes under the variance criterion [Text] / L. Xia // Automatica. – 2016. – Vol. 73. – P. 269–278. doi: 10.1016/j.automatica.2016.06.018 

Vasilyev, E. S. Optimization of the architecture of a charge pump device on the basis of the energy efficiency criterion [Text] / E. S. Vasilyev // Journal of Communications Technology and Electronics. – 2013. – Vol. 58, Issue 1. – P. 95–99. doi: 10.1134/s1064226913010099 

Shorikov, A. F. Multi-criterion optimization of production range generation by an enterprise [Text] / A. F. Shorikov, E. S. Rassadina // Economy of Region. – 2010. – Issue 2. – P. 189–196. doi: 10.17059/2010-2-18 

Mansour, M. R. Integrating Hierarchical Clustering and Pareto-Efficiency to Preventive Controls Selection in Voltage Stability Assessment [Text] / M. R. Mansour, A. C. B. Delbem, L. F. C. Alberto, R. A. Ramos // Lecture Notes in Computer Science. – 2015. – P. 487–497. doi: 10.1007/978-3-319-15892-1_33 

Harchenko, V. P. Optimization of network information air navigation facilities by the generalized criterion of efficiency [Text] / V. P. Harchenko, D. G. Babeychuk, O. S. Slyunyaev // Proceedings of National Aviation University. – 2009. – Vol. 31, Issue 1. – P. 3–5. doi: 10.18372/2306-1472.38.1650 

Lutsenko, I. Identification of target system operations. Determination of the value of the complex costs of the target operation [Text] / I. Lutsenko // Eastern-European Journal of Enterprise Technologies. – 2015. – Vol. 1, Issue 2 (73). – P. 31–36. doi: 10.15587/1729-4061.2015.35950 

Lutsenko, I. Identification of target system operations. Development of global efficiency criterion of target operations [Text] / I. Lutsenko // Eastern-European Journal of Enterprise Technologies. – 2015. – Vol. 2, Issue 2 (74). – P. 35–40. doi: 10.15587/1729-4061.2015.38963 



DOI: https://doi.org/10.15587/1729-4061.2017.91025

Refbacks

  • There are currently no refbacks.


Bookmark and Share


Copyright (c) 2017 Igor Lutsenko, Elena Fomovskaya, Iryna Oksanych, Elena Vikhrova, Olga Serdiuk

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

ISSN (print) 1729-3774, ISSN (on-line) 1729-4061