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objective function. Journal of the American Statistical Association, 58(301): 236-244. WATTS, M. (2009): Rules versus hierarchy: An application of fuzzy set theory to the assessment of spatial grouping techniques. In: Kolehmainen, M. et al. [eds.]: Adaptive and naturals computing algorithms. Berlin Heidelberg, Springer-Verlag, 517-526.


The technical resource of artillery weaponry can be highlighted, in an original way, with the help of functions, called objective functions by the author. In this respect, an original mathematical model thereof was defined and is presented, detailing the main and secondary subassemblies, and the general assembly of a mouth, respectively. The developed model connects subassemblies and the product through the weights given to each component within the system, the defining element from which it starts being the diagnosis parameters.


The technical resource of artillery weapons can be highlighted, in an original way, with the help of a function called by the author standard objective function. In this respect, an original mathematical model thereof was defined and is presented. Consistent with the values achieved in time by the standard objective function qualitative information on the technical resource assessment of artillery mouths is provided. The model developed enables qualitative assessments concerning normal operation or reaching the critical value of the mouth. The defining element of this approach is the diagnosis parameters.

Development. No. 18 p. 13–20. W ałęga A. 2014. The importance of the objective functions and flexibility on calibration of parameters of Clark instantaneous unit hydrograph. Geomatics, Landmanagement and Landscape. No. 2 p. 75–85. W ałęga A., G rzebinoga M., P aluszkiewicz B. 2011. On using the Snyder and Clark unit hydrograph for calculations of flood waves in a highland catchment (the Grabinka River example). Acta Scientiarum Polonorum. Formatio Circumiectus. Vol. 10. No. 2 p. 47–56.

References Bober, P. (2017). Measurement of Objective Function for BLDC Motor Optimization. Acta Electrotechnica et Informatica, 17(4), pp.43-49. [online] Available at: [Accessed 11 Feb. 2018]. Ingaldi, M. and Dziuba, S.T. (2016). Supervisor's Assessment as an Element Effecting Technological Process in Chosen Metallurgical Company. In: 25th Anniversary International Conference on Metallurgy and Materials, Ostrava, Tanger, pp. 1822-1828 Leal, U.A.S., Silva, G.N. and Lodwick, W.A. (2015). Multi-objective optimization in


In an optimal processes control, where the considered goals are in general observed as concurrently conflicted, a multi-objective approach fits the best. Commonly used scalarization techniques in multi-objective optimization need a transformation of the individual single-objective functions involved into a scalar multi-criteria objective function. There are many parameters which can influence the optimization results solutions, including an unreachable utopia point value. In this study, the authors compare the multi-objective problem solutions found via two ways of the individual objectives transformation with the respect to setting the utopia point. The methods are used in the area of production control in a case study for a batch production system. To find the solutions, The Weighted Sum Method with a priori articulated preferences under specific constraints as the scalar multi-objective optimization method is applied in simulation optimization.


This paper deals with possibilities of using genetic algorithms in design of costs optimization, which are needed to reach given reliability of technical system, respectively system reliability optimization by given amount of investment costs. In following chapters, there is a described design of new method, which will be later implemented in application and verified on an example.

Causal relationships between system failures and elements faults can be detected by analytic approach, when at first the undesired system fault is identified and its reasons are progressively detected. The reliability of system and its elements is analyzed using method FTA (fault tree analysis) and system is represented by fault trees. In order to optimize costs, respectively reliability, the genetic algorithms are used.


The basic selecting peculiarities of the optimal project characteristics of the small waterplane area twin hull ships compared to conventional ships are considered. The description of the mathematical model and the ship operating model is given. The choice of the optimization method is justified.


The aim of the research is the development of theoretical and methodical bases for determining the feasibility of plant raw materials growing for its further bioconversion into energy resources and technological materials to maximize profit from business activities. Monograph, statistics, modelling and abstract logical methods have been used during the research. Directions of biogas usage have been examined. Biogas yields from different crops have been analyzed. It has been determined that high methane yields can be provided from root crops, grain crops, and several green forage plants. So, forage beet and maize can provide more than 5,500 m3 of biogas per hectare. Attention is paid to the use of by-products of biogas plants, especially carbon dioxide. Carbon dioxide is an important commodity and can increase profitability of biogas plant operating. It can be used for different purposes (food industry, chemical industry, medicine, fumigation, etc). The most important parameters of the biogas upgrading technologies have been analyzed. If output of an upgrade module is more than 500 nm3/h, investment costs of different available technologies are almost equal. According to experts, it is economically feasible to use anaerobic digestion biogas systems to upgrade biomethane provided their performance is equivalent to 3,000 litres of diesel fuel per day. The economic and mathematical models have been suggested to determine the feasibility of growing plant materials to maximize the gross profit. The target function is the maximum gross income from biogas utilization. It has the following limitations: annual production of biogas, consumption of electricity, heat and motor fuels. The mathematical model takes into account both meeting own requirement and selling surplus energy resources and co-products including carbon dioxide. In case of diesel fuel substitution, an ignition dose of diesel fuels has been considered. The algorithm for making a decision on construction of a biogas plant has been offered.

References Alci, M. (2008). Fuzzy rule-base driven orthogonal approximation, Neural Computing and Applications 17 (5-6): 501-507. Andri, R. and Ennu, R. (2011). Identification of transparent, compact, accurate and reliable linguistic fuzzy models, Information Sciences 181 (20): 4378-4393. Ben, N., Yunlong, Z., Xiaoxian, H. and Hai, S. (2008). A multi-swarm optimizer based fuzzy modeling approach for dynamic systems processing, Neurocomputing 71 (7-9): 1436-1448. Bezdek, J.C. (1981). Pattern Recognition with Fuzzy Objective Function Algorithms , Plenum