Abstract
Optimization of manufacturing processes is the main tool that can provide access to the maximum financial efficiency of the enterprise. At the same time, this important tool for maximizing the resource efficiency is practically not used by enterprises due to the complexity and imperfection of the theory of optimal control, which manifests itself by its contradictory nature. The way out can be found by applying the method of practical determination of the optimal trajectory which was developed in the framework of this study. The advantage of the method is that it ensures determination of the optimal trajectory for those production processes which show intermediate results incomparable with each other both quantitatively and qualitatively. For example, to evaluate effectiveness of the operational processes associated with heating fluids, melting steel, crushing iron ore, etc. the costs and time alter nonlinearly at the intermediate stages. At the same time, qualitative parameters of the output product change which makes it impossible to use a direct method for estimating quantitative parameters of the output product at intermediate stages of the conversion process. The proposed method provides a two-stage process of optimization. In this case, completion of the first stage of optimization quickly transfers control to a zone close to the optimum in an automatic mode. The further search process just corrects the control trajectory if external conditions permit it. Thus, the proposed practical method of searching for the optimal control trajectory is essentially robust
Highlights
To maintain results of procedural activities of business enterprises maximally in line with their owners’ goals, enterprises integrate special indicators into their control systems, the so called optimization criteria.In theory, use of the optimization criterion capacities should ensure selection of such a mode of operation of pro-I
The result obtained with the use of this method will only be of practical value if the search optimization is based on application of an adequate mathematical model of the object of research. Implementation of this method has one very significant drawback: it is significant time required for the optimization process
It is feasible to identify several interrelated problems to be solved in connection with the problem of finding optimal control trajectory
Summary
To maintain results of procedural activities of business enterprises maximally in line with their owners’ goals, enterprises integrate special indicators into their control systems, the so called optimization criteria. The result obtained with the use of this method will only be of practical value if the search optimization is based on application of an adequate mathematical model of the object of research In this case, implementation of this method has one very significant drawback: it is significant time required for the optimization process. It is feasible to identify several interrelated problems to be solved in connection with the problem of finding optimal control trajectory This is definition of an adequate model of the object of research, substantiation of selection of the optimization criterion as well as cost estimation of the main output product in conditions when its qualitative and quantitative parameters change during the operational process. It is highly desirable to improve efficiency of the task of finding the optimal trajectory by narrowing the region within which it is necessary to use known methods of search optimization
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