pimiПриборы и методы измеренийDevices and Methods of Measurements2220-95062414-0473BNTU10.21122/2220-9506-2021-12-4-311-322pimi-736Research ArticleМетоды измерений, контроля, диагностикиMethods of measurements, monitoring, diagnosticsПрименение положений теории решения некорректных задач для управления робастностью производственных процессовApplication of Solutions of Uncorrected Tasksʼ Theory for Managing of Production Processesʼ RobustnessСеренковП. С.SerenkovP. S.

Адрес для переписки: Серенков П.С. – Белорусский национальный технический университет, пр–т Независимости, 65, г. Минск 220013 e-mail: pavelserenkov@bntu.by

Address for correspondence: Serenkov P.S. – Belarusian National Technical University, Nezavisimosti Ave., 65, Minsk 220013, Belarus e-mail: pavelserenkov@bntu.by

pavelserenkov@bntu.byРоманчакВ. М.RomanchakV. M.

пр–т Независимости, 65, г. Минск 220013

Nezavisimosti Ave., 65, Minsk 220013

ПеслякИ. Е.PesliakI. E.

пр–т Независимости, 65, г. Минск 220013

Nezavisimosti Ave., 65, Minsk 220013

Белорусский национальный технический университетБеларусьBelarusian National Technical UniversityBelarus202122122021124311322Copyright © Серенков П.С., Романчак В.М., Песляк И.Е., 20212021Серенков П.С., Романчак В.М., Песляк И.Е.Serenkov P.S., Romanchak V.M., Pesliak I.E.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://pimi.bntu.by/jour/article/view/736

В условиях наступления промышленной революции «Индустрия 4.0», индивидуализации предоставляемой продукции и услуг, перехода к единичному производству вопросы обеспечения приемлемости производственных процессов на стадии разработки и проектирования становятся актуальными. Целью данной работы являлась разработка стратегии принципиального решения проблемы гарантированного обеспечения приемлемости производственных процессов, как интегральной характеристики качества.

Предложен системный подход разработки стратегии, в основу которого положены подходы теории решения некорректных задач. Признаки корректности математических задач по Ж. Адамару адаптированы к задачам обеспечения приемлемости производственных процессов (технологических и измерительных) в части идентификации свойств проявления некорректности и способов управления некорректностью.

Установлено, что для производственных процессов (технологических и измерительных) свойство робастности может рассматриваться как обобщённый показатель приемлемости. Обоснована эквивалентность понятий некорректности задач по Ж. Адамару и потерями робастности производственных процессов. Сделан вывод о том, что в основу системного подхода к оцениванию и управлению потерями робастности производственных процессов могут быть положены наработанные подходы и техники теории некорректных задач. Предложена классификация ситуаций потерь робастности производственных процессов в соответствии с классификацией признаков некорректности задач по Ж. Адамару.

Для практической реализации стратегии гарантированного обеспечения приемлемости производственных процессов разработан двухшаговый алгоритм обеспечения робастности производственных процессов на стадии их разработки, включающий идентификацию источников потерь робастности и управление факторами входа, вызывающими существенную вариацию выхода процесса. Систематизированы источники потенциальных факторов потерь робастности производственных процессов, предложен двухэтапный механизм управления ими. Для каждого этапа обоснованы рациональные методы обеспечения робастности производственных процессов, наработанные практикой решения некорректных задач. Предложен метод обеспечения высокой эффективности управления потерями робастности в определенных ситуациях, в основе которого положены принципы Г. Тагучи по робастному перепроектированию производственных процессов.

The industrial revolution of “Industry 4.0” is currently underway at an active pace. Individualization of provided products and services, transition to single production, the issues of acceptability of production processes at the stage of development and design have became urgent. The aim of this work was to develop a strategy for a fundamental solution to the task of guaranteed acceptability of production processes as an integral quality characteristic.

We have proposed a systematic approach to strategy development. The basis of the approach was the theory of incorrect tasks solving. We adapted signs of correctness of mathematical tasks by J. Adamar to the tasks of ensuring acceptability of production processes (technological and measurement). They were used in the part of identification of properties of display of incorrectness and ways of incorrectnessʼ management.

We have proposed to consider the property of robustness as a generalized index of acceptability for production processes (technological and measurement). We substantiate the equivalence of the concepts of incorrectness of tasks according to J. Adamar and losses of robustness of production processes. We conclude that the developed approaches and techniques of the theory of incorrect tasks can be put in a basis of the system approach to an estimation and management of losses of robustness of production processes. We have  proposed  a  classification  of  situations  of  robustness  losses  in  production  processes in accordance with the classification of the signs of incorrect tasks by J. Adamar.

We have developed a two-step algorithm for ensuring the robustness of production processes at the stage of their development. It included identification of the sources of robustness losses and management of input factors that cause significant variation in process output. This has given a practical implementation of a strategy to guarantee the acceptability of production processes. We have systematized the sources of potential losses in  the  robustness  of  production  processes  and  proposed  a  two-stage  mechanism for managing them. We have justified rational methods of ensuring the robustness of production processes for each stage based on, the practice of uncorrected tasks solving. We have proposed a method for ensuring high efficiency  of  robustness  loss  management  in  certain  situations.  The  principles of G. Taguchiʼs robust redesigning of production processes formed the basis of our method.

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The authors declare that there are no conflicts of interest present.