Operation comfort vs. the importance measure of system components

• Autorzy: Szajowski Krzysztof J. , Średnicka Małgorzata

Identyfikatory

DOI

10.14708/ma.v48i2.7058

Warianty tytułu

PL

Efektywna obsługa a znajomość rangi składowych systemu

• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to propose a new importance measure of system components combining its sensitivity to a system operation and performance. It is presented against the background of other significance measures, an overview of which is an important part of this work as we present them in relation to the motivation behind their creation. In the first work of Birnbaum (1968) on this subject, many interesting studies were created and important indicators were constructed that allowed to organize the components of complex systems in terms of reliability. They are helpful in analyzing the reliability of the designed systems, establishing the principles of operation and maintenance. They concern an approach in which both elements and systems are binary, and the possibility of generalization to multi-state systems is only mentioned. The new proposal is using the methods of game theory and risk analysis. The presented severity measures use a knowledge of the system structure as well as reliability and wear and tear, and whether the components can be repaired and maintained.

PL

Celem artykułu jest zaproponowanie nowego sposobu ustalania rangi elementów systemu, łączącej wpływ na niezawodność systemu i jego wydajność. Przedstawiono je na tle innych sposobów mierzenia istotności elementów systemu. Omówienie znanych miar istotności jest ważną częścią niniejszej pracy, ponieważ przedstawiamy tak, aby pokazać motywację ich powstania. W pierwszej pracy Birnbauma (1968) na ten temat powstało wiele interesujących opracowań i skonstruowano ważne wskaźniki, które pozwoliły uporządkować składowe układów złożonych ze względu na ich wpływ na niezawodność. Są pomocne w analizie niezawodności projektowanych układów, ustalaniu zasad eksploatacji i konserwacji. Dotyczą podejścia, w którym zarówno elementy, jak i systemy są binarne. Wspominamy również o możliwości uogólnienia na systemy wielostanowe i uzasadniamy taka potrzebę. Nowa propozycja mierzenia istotności wykorzystuje teorię gier i analizy ryzyka. Przedstawione miary wykorzystują wiedzę o budowie systemu, niezawodności i zużyciu elementów, a także o możliwości (trudności) naprawy i konserwacji elementów.

Słowa kluczowe

EN

Birnbaum importance; Barlow-Proschan importance; binary system; components importance; coherent system; cost-based importance; multistate system; risk-based importance; structural function; natvig measure; universal generating function

PL

miara istotności; miara Birnbauma; system koherentny; system binarny; system modułowy; miara Barlowa-Proschana; miara Natviga; równowaga Nasha; kooperacyjne momenty zatrzymania

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2020
• Tom: Vol. 48, no. 2
• Strony: 191--226
• Opis fizyczny: Bibliogr. 43 poz., fot., rys., tab.

Twórcy

autor

Szajowski Krzysztof J.

• Wrocław University of Science and Technology, Faculty of Pure and Applied Mathematics, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Średnicka Małgorzata

• Wrocław University of Science and Technology, Faculty of Pure and Applied Mathematics, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).