Fuzzy testing model for the lifetime performance of products under consideration with exponential distribution

Kuen-Suan Chen and Tsang-Chuan Chang ()
Additional contact information
Kuen-Suan Chen: National Chin-Yi University of Technology
Tsang-Chuan Chang: National Taichung University of Science and Technology

Annals of Operations Research, 2022, vol. 312, issue 1, No 6, 87-98

Abstract: Abstract With intense competition in industry today, product quality has become a crucial factor influencing whether a firm can achieve sustainable operations and maintain competitiveness. Process capability indices are effective tools often used in manufacturing to determine whether products meets requirements, and most assume that the quality characteristics of products follow normal distributions. However, not all quality characteristics necessarily follow normal distributions; for example, product lifetime, a time-oriented quality characteristic, generally follows an exponential distribution or other associated non-normal distributions. The lifetime performance index $$ C_{L} $$ C L was thus developed to gauge the lifetime performance of products, and most related studies use the precise values of time data to evaluate product lifetime. However, in practice, measurement errors may hinder the accuracy of the observed values of quality characteristics, and the time at which the lifetime of a product ends becomes imprecise, which may result in uncertainty in the evaluation method and lead to errors in judgment. For this reason, this study thus proposes a triangular shaped fuzzy number for $$ C_{L}^{*} $$ C L ∗ to deal with imprecise data, and further develops a fuzzy testing model for lifetime performance index $$ C_{L} $$ C L , to assist manufacturers in evaluating product lifetime performance more cautiously and precisely. Finally, we provide an illustration of how the proposed approach can be implemented through a numerical example.

Keywords: Exponential distribution; Lifetime performance index; Triangular shaped fuzzy number; Fuzzy testing (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10479-020-03578-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-020-03578-9

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-020-03578-9

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().