DOI: 10.18503/1995-2732-2024-22-3-131-139
Abstract
Problem Statement (Relevance). The IDEF methodology has been widely used in the graphical description of the processes of the quality management system (QMS). In this case, preference is given for the IDEF0 notation over the IDEF3 notation. These methodologies and their corresponding notations do not include tools for converting graphical models into mathematical ones. There are approaches to determining the probabilities of the activity being performed that are part of a network of interconnected and interacting processes for the IDEF0 notation. The IDEF3 notation supports a more detailed description of the interaction of the activity in processes through the direct use of logical conditions taking into account time indicators, and this is promising for creating mathematical models based on it. Objective and Methods Applied. The article analyzes the probability and execution time parameters of interrelated and interacting QMS processes based on their IDEF3 graphical models. The authors used main provisions of probability theory and techniques for studying structural charts of reliability of technical systems. Originality. Results. The article proposes an approach to the direct transformation of structural charts of interacting processes based on IDEF3 graphical models into expressions for determining the probabilities and execution time of the entire process network. This approach is applied for three abstract examples containing the main elements of such graphical models. Numerical calculations have confirmed the possibility of taking into account feedbacks in the network of processes characteristic of all operating QMS based on the Shewhart-Deming cycle. Practical Relevance. The created approach uses accumulated knowledge about the interrelations between processes, reflected in graphical charts only to assign quality requirements (probability of successful completion) and duration to every activity included in the process, based on its accepted structure. This approach can be used to analyze the charts of QMS processes based on the direct calculation of probability and time parameters in determining the sources of increasing their effectiveness and efficiency.
Keywords
QMS processes, IDEF3 graphical models, mathematical models, probability, execution time
For citation
Ivakhnenko A.G., Anikeeva O.V., Islamova O.V., Razumova A.I., Gulyaev K.A. Parametric Analysis of Structural Models of Interacting Processes Based on IDEF3. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2024, vol. 22, no. 3, pp. 131-139. https://doi.org/10.18503/1995-2732-2024-22-3-131-139
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