Assessment of product quality risks by qualimetric methods using functionally dependent statistics

• Autorzy: Trishch Roman , Petraškevičius Vladislavas , Šimelytė Agnė , Cherniak Olena , Lomanov Kostiantyn

Identyfikatory

DOI

10.2478/emj-2025-0020

• Języki publikacji: EN

Abstrakty

EN

In modern production systems, ensuring high product quality while minimising risk is a critical challenge. Traditional quality assessment methods often rely on expert judgment or complex models, which may introduce subjectivity or require large datasets. This study aims to develop a universal methodology for assessing product quality risks using a mathematically grounded approach that eliminates the need for expert-based evaluations and can be easily implemented in various industrial contexts. A qualimetric method based on nonlinear mathematical dependence using the error function “erf” is proposed. The method transforms measured quality indicators into a dimensionless scale and derives functionally dependent statistics under the assumption of a uniform distribution. The model is validated through analytical derivations and numerical experiments on piston components in precision mechanical engineering. A new mathematical model was established to calculate the probability density function of transformed quality indicators. The methodology enables the estimation of the probability that a quality indicator will fall within a risky range near tolerance limits. Numerical experiments confirmed the validity of the model, demonstrating its applicability to real-world production scenarios and its alignment with known principles of qualimetry. The proposed method provides a universal, objective, and practical tool for risk-based quality assessment. It can be applied across different industries, integrated into existing quality management systems, and used to support decision-making in production control. Future research should expand the model to accommodate non uniform distributions and explore its integration with real-time quality monitoring systems.

Słowa kluczowe

EN

qualimetry; quality of life; risk; risk assessment; quality risk; sustainability criteria; error function; functionally dependent statistics; multicriteria quality assessment

PL

kwalimetria; jakość życia; ryzyko; ocena ryzyka; ryzyko jakości; kryteria zrównoważonego rozwoju; funkcja błędu; statystyki zależne funkcjonalnie; wielokryterialna ocena jakości

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Engineering Management in Production and Services
• Rocznik: 2025
• Tom: Vol. 17, no. 3
• Strony: 68--82
• Opis fizyczny: Bibliogr. 65 poz., tab., wykr.

Twórcy

autor

Trishch Roman

• National Aerospace University “Kharkiv Aviation Institute”, 17 Vadym Manko st., 61000 Kharkiv, Ukraine
• Mykolas Romeris University, 20 Ateities st., Vilnius, Lithuania

• https://orcid.org/0000-0002-9503-8428

autor

Petraškevičius Vladislavas

• Vilnius Gediminas Technical University, 11 Saulėtekio al., 10223 Vilnius, Lithuania

• https://orcid.org/0000-0002-6131-1318

autor

Šimelytė Agnė

• Vilnius Gediminas Technical University, 11 Saulėtekio al., 10223 Vilnius, Lithuania

• https://orcid.org/0000-0002-9475-9645

autor

Cherniak Olena

• National Aerospace University “Kharkiv Aviation Institute”, 17 Vadym Manko st., 61000 Kharkiv, Ukraine

• https://orcid.org/0000-0001-6167-8809

autor

Lomanov Kostiantyn

• V. N. Karazin Kharkiv National University, 4 Svobody sq., 61022 Kharkiv, Ukraine

• https://orcid.org/0009-0000-7124-7607+

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