Definition of efficiency indicator and study of its main function as an optimization criterion

Igor Lutsenko

Abstract


The problem of development rates maximizing of any business structure is solved by system processes optimization, and the best choice taking from a set of available alternatives. In order to solve these problems, an indicator that can be trusted to a central place in the technology of the optimum solutions is needed. Especially it is urgent where full automation of control processes is necessary. This responsibility involves the careful selection and verification of the indicators claiming to be the optimization criterion. According to the retrospective analysis, in this issue it is possible to allocate two interconnected problems.

The first problem is an uncertainty of the “optimization” concept. In fact, the optimization process, for today, is associated with extremum search of some function. In this regard, the second problem is related to the fact that as an optimization criterion, forming the function, it is proposed to use a variety of indicators.

In this work the essence of an efficiency indicator is revealed. The structure of this indicator and the properties which such indicator has to possess are defined. A number of classes of reference operations were created. Each such class provides a possibility of testing those qualities which the efficiency indicator applying for a role of optimization criterion has to possess.

The indicator which has cybernetic structure and successfully passed test on all classes of reference operations has been developed. Results of use of the developed indicator as optimization criterion in the system of liquid portion heating have been given.

Definition for category “efficiency” and “efficiency indicator” has been given.

The received results can be useful to developers of cross-disciplinary indicators, specialists in control processes automation and business processes optimization.


Keywords


efficiency indicator; optimization criterion; comparison criterion; resources efficiency

References


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Singh, R., Kumar, H., Singla, R. K. (2014). TOPSIS Based Multi-Criteria Decision Making of Feature Selection Techniques for Network Traffic Dataset. International Journal of Engineering and Technology (IJET), 5 (6), 4598–4604.

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

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

Zhao, Q., Ding, Y., Jin, H. (2011). A Layout Optimization Method of Composite Wing Structures Based on Carrying Efficiency Criterion. Chinese Journal of Aeronautics, 24 (4), 425–433. doi: 10.1016/s1000-9361(11)60050-2

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

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, 38 (1), 3–5. doi: 10.18372/2306-1472.38.1650

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

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

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

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

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

Savchuk, T. O., Kozachuk, A. V. (2015). Development of cloud application efficiency evaluation criterion. Eastern-European Journal of Enterprise Technologies, 5 (2 (77)), 20–26. doi: 10.15587/1729-4061.2015.50950

Lutsenko, I., Fomovskaya, E., Vikhrova, E., Serdiuk, O. (2016). Development of system operations models hierarchy on the aggregating sign of system mechanisms. Eastern-European Journal of Enterprise Technologies, 3 (2 (81)), 39–46. doi: 10.15587/1729-4061.2016.71494

Lutsenko, I., Fomovskaya, E. (2015). Identification of target system operations. 4. The practice of determining the optimal control. Eastern-European Journal of Enterprise Technologies, 6 (2 (78)), 30–36. doi: 10.15587/1729-4061.2015.54432

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

Cirlin, A. M. (1986) Optimal'noe upravlenie tehnologicheskimi processami. Jenergoatomizdat, 400.

Lutsenko, I. (2014). Identification of target system operations. Determination of the time of the actual completion of the target operation. Eastern-European Journal of Enterprise Technologies, 6 (2 (72)), 42–47. doi: 10.15587/1729-4061.2014.28040

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

Bartuševičienė, I., Šakalytė, E. (2013) Organizational Assessment: Effectiveness VS. Efficiency. Social Transformations in Contemporary Society. Available at: http://stics.mruni.eu/wp-content/uploads/2013/06/45-53.pdf

Lutsenko, I. (2016). Principles of cybernetic systems interaction, their definition and classification. Eastern-European Journal of Enterprise Technologies, 5 (2 (83)), 37–44. doi: 10.15587/1729-4061.2016.79356


GOST Style Citations


Healey, C. M. Efficient comparison of constrained systems using dormancy [Text] / C. M. Healey, S. Andradóttir, S.-H. Kim // European Journal of Operational Research – 2013. – Vol. 224, Issue 2. – P. 340–352. doi: 10.1016/j.ejor.2012.08.012 

Syntetos, A. A. The effects of integrating management judgement into OUT levels: In or out of context? [Text] / A. A. Syntetos, I. Kholidasari, M. M. Naim // European Journal of Operational Research. – 2013. – Vol. 249, Issue 3. – P. 853–863. doi: 10.1016/j.ejor.2015.07.021 

Singh, R. TOPSIS Based Multi-Criteria Decision Making of Feature Selection Techniques for Network Traffic Dataset [Text] / R. Singh, H. Kumar, R. K. Singla // International Journal of Engineering and Technology (IJET). – 2014. – Vol. 5, Issue 6. – P. 4598–4604.

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 

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 

Zhao, Q. A Layout Optimization Method of Composite Wing Structures Based on Carrying Efficiency Criterion [Text] / Q. Zhao, Y. Ding, H. Jin // Chinese Journal of Aeronautics. – 2011. – Vol. 24, Issue 4. – P. 425–433. doi: 10.1016/s1000-9361(11)60050-2 

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 

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. 38, Issue 1. – P. 3–5. doi: 10.18372/2306-1472.38.1650

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 

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, L. I. Kul’bak, A. N. Kryuchkov, T. S. Martinovich // Automatic Control and Computer Sciences. – 2008. – Vol. 42, Issue 4. – P. 203–209. doi: 10.3103/s0146411608040068 

Xu, Q. Adaptive surrogate-based design optimization with expected improvement used as infill criterion [Text] / Q. Xu , E. Wehrle, H. Baier // A Journal of Mathematical Programming and Operations Research. – 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 

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

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

Savchuk, T. O. Development of cloud application efficiency evaluation criterion [Text] / T. O. Savchuk, A. V. Kozachuk // Eastern-European Journal of Enterprise Technologies. – 2015. – Vol. 5, Issue 2 (77). – P. 20–26. doi: 10.15587/1729-4061.2015.50950

Lutsenko, I. Development of system operations models hierarchy on the aggregating sign of system mechanisms [Text] / I. Lutsenko, E. Fomovskaya, E. Vihrova, O. Serdiuk // Eastern-European Journal of Enterprise Technologies. – 2016. – Vol. 3, Issue 2 (81). – P. 39–46. doi: 10.15587/1729-4061.2016.71494

Lutsenko, I. Identification of target system operations. The practice of determining the optimal control [Text] / I. Lutsenko, E. Fomovskaya // Eastern-European Journal of Enterprise Technologies. – 2015. – Vol. 6, Issue 2 (78). – P. 30–36. doi: 10.15587/1729-4061.2015.54432 

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. Serduik // Eastern-European Journal of Enterprise Technologies. – 2016. – Vol. 2, Issue 4 (80). – P. 42–50. doi: 10.15587/1729-4061.2016.66307 

Cirlin, A. M. Optimal'noe upravlenie tehnologicheskimi processami [Text] / A. M. Cirlin. – Jenergoatomizdat, 1986. – 400 p.

Lutsenko, I. Identification of target system operations. 1. Determination of the time of the actual completion of the target operation [Text] / I. Lutsenko // Eastern-European Journal of Enterprise Technologies. – 2014. – Vol. 6, Issue 2 (72). – P. 42–47. doi: 10.15587/1729-4061.2014.28040 

Lutsenko, I. Identification of target system operations. 2. 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 

Bartuševičienė, I. Organizational Assessment: Effectiveness VS. Efficiency [Electronic resource] / I. Bartuševičienė, E. Šakalytė. – 2013. – Available at: http://stics.mruni.eu/wp-content/uploads/2013/06/45-53.pdf

Lutsenko, I. Principles of cybernetic systems interaction, their definition and classification [Text] / I. Lutsenko // Eastern-European Journal of Enterprise Technologies. – 2016. – Vol. 5, Issue 2 (83). – P. 37–44. doi: 10.15587/1729-4061.2016.79356 


DOI: https://doi.org/10.15587/1729-4061.2016.85453

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