Abstract

The study's abstract summarizes the findings of years of research in the area of quality management of industrial production and construction production, which were based on mathematical modeling techniques, process, and outcomes of implementing the developed program of monitoring and quality control in the enterprise's production process. The objective of this work is to show to the scientific community the useful outcomes of mathematical modeling in software applications. Quality control and safety represent increasingly important concerns for project managers. Defects or failures in constructed facilities can result in very large costs. Even with minor defects, re-construction may be required and facility operations impaired. Increased costs and delays are the result. In the worst case, failures may cause personal injuries or fatalities. Accidents during the construction process can similarly result in personal injuries and large costs. Indirect costs of insurance, inspection and regulation are increasing rapidly due to these increased direct costs. Good project managers try to ensure that the job is done right the first time and that no major accidents occur on the project. The research focused on describing applicable mathematical models, viewpoints, and practical outcomes of their use in the applied sector to evaluate quality control. This mathematical model was applied by the authors. The outcomes of using this approach are presented in the article. By utilizing mathematical modeling techniques, the authors created an experimental software management and quality assessment system. The authors continue their study in this area to enhance prognostic and diagnostic processes based on mathematical modeling methodologies for diagnostic systems and quality management systems.. The independent quality control, which was based on some traditional inspection techniques and used mathematical modeling techniques, revealed a negligible partial discrepancy in the results of the estimation, proving both the efficacy of the product and the suitability of the mathematical modeling concept. Keywords: Quality control, mathematical modeling, construction quality.

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