Abstract
In the process of designing, manufacturing and operating complex technological systems, it is necessary to have criteria and methods for assessing the perfection of their structure. A method for assessing the complexity of the structure of technological systems by the criterion that is a complex quantity and takes into account the number of system elements, connections between elements, connections between elements and the external environment, and the hierarchical level of elements in the system is developed. The choice of the criterion was made under the following assumptions: the element of the system has one «input» and one «output», through which its interaction with other elements of the system and the external environment occurs; the state of the system element is uniquely determined by the state of its «input». The complexity of the structure of the unit element is unity; the complexity of the structure of the system consisting of an infinite number of elements is equal to infinity. The complexity of the system structure is determined by the number of system elements, the number of connections between them and the external environment, and also the hierarchical level of the element in the system. The method for assessing the complexity of the structure of technological systems is sufficiently accurate, intuitively acceptable and suitable for practical research. Application of the developed method in practice allows solving the problem of objective analysis of the structure of complex technological systems and giving them a quantitative assessment. An example of using the method for analyzing the structure of technological equipment systems of sintering plants of the Krivoy Rog iron ore basin (Ukraine) is given.
Highlights
Technological systems of modern industrial enterprises belong to the class of complex ones and are intended for the transformation of matter, energy, information in the process of production, materials processing, assembly of finished products, quality control [1]
The indicator of the relative complexity of the structure of technological systems is proposed, which is the ratio of the indicator of the complexity of the structure of the projected or operating system to the indicator of the complexity of the structure in a combined connection of elements, cha racterizes the perfection of the system structure, shows the degree of rationality in the use of elements in the structure
The use of the indicator of the relative complexity of the structure ensures validity and correctness when comparing technological systems consisting of different numbers of
Summary
Technological systems of modern industrial enterprises belong to the class of complex ones and are intended for the transformation of matter, energy, information in the process of production, materials processing, assembly of finished products, quality control [1]. One of the first definitions of a complex system was given in [10, 11], where it was noted that the important properties of complex systems are the possibility of dividing the system into subsystems, as well as the existence of a hierarchical structure. The components of subsystems are the equipment that implements the technological processes that ensure the transformation of the physical and mechanical properties of the processed product. The result of the functioning of technological subsystems is an intermediate or final product, which requires further processing at other industrial enterprises. A certain technology can be implemented using equipment of different manufacturers and productivity, which leads to the creation of subsystems with a structure of different hierarchical levels. When designing and manufacturing complex technological systems, it is necessary to have the means and criteria for assessing the perfection of their structure
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