Metoda Mehar do analizy rozmytej niezawodności systemu produkcji tłoków

Lata, S.; Kumar, A.

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Tytuł artykułu

Metoda Mehar do analizy rozmytej niezawodności systemu produkcji tłoków

Autorzy

Lata S. , Kumar A.

Treść / Zawartość

Pełne teksty:

httpwww_ein_org_plpodstronywydania51pdf04.pdf

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Warianty tytułu

Mehar's method for analyzing the fuzzy reliability of piston manufacturing system

Języki publikacji

Abstrakty

To the best of our knowledge till now there are only two analytical methods for finding the exact solution of fuzzy differential equations. In this paper, the shortcoming of one of these existing methods is pointed out. To overcome the shortcoming of the existing method, a new method, named as Mehar's method, is proposed for solving fuzzy differential equations. To show the advantage of Mehar's method over existing method the fuzzy Kolmogorov's differential equations, developed by using fuzzy Markov model of piston manufacturing system, are solved by using the existing and Mehar's method and it is shown that the results, obtained by using the existing method, may or may not be fuzzy number while the results, obtained by using Mehar's method, are always fuzzy number.

Wedle naszej najlepszej wiedzy, do tej pory stworzono jedynie dwie metody analityczne precyzyjnego rozwiązywania rozmytych równań różniczkowych. W artykule wskazano wady jednej z istniejących metod oraz zaproponowano nową metodę rozwiązywania równań różniczkowych, nazwaną metodą Mehar, w której wady te zostały wyeliminowane. Aby wykazać przewagę metody Mehar nad istniejącą metodą, rozwiązano za pomocą obu tych metod rozmyte równania różniczkowe Kołmogorowa wyprowadzone przy użyciu rozmytego markowowskiego modelu systemu produkcji tłoków. Wykazano, że wyniki otrzymane z wykorzystaniem istniejącej metody, mogą ale nie muszą być liczbami rozmytymi, natomiast wyniki otrzymane przy pomocy metody Mehar zawsze stanowią liczbę rozmytą.

Słowa kluczowe

fuzzy differential equations fuzzy reliability trapezoidal fuzzy number

rozmyte równania różniczkowe rozmyta niezawodność trapezoidalna liczba rozmyta

Wydawca

Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne

Czasopismo

Eksploatacja i Niezawodność

Rocznik

2011

Tom

nr 3

Strony

26--39

Opis fizyczny

Bibliogr. 40 poz.

Twórcy

autor

Lata S.

autor

Kumar A.

School of Mathematics and Computer Applications Thapar University, Patiala-147004, India, sneh.thaparian@gmail.com

Bibliografia

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Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-article-BAT1-0039-0047