Parallel time scales and two-dimensional manufacturer and individual customer warranties
作者:
ILYAB. GERTSBAKH,
KHAIMB. KORDONSKY,
期刊:
IIE Transactions
(Taylor Available online 1998)
卷期:
Volume 30,
issue 12
页码: 1181-1189
ISSN:0740-817X
年代: 1998
DOI:10.1080/07408179808966575
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We deal with a system whose failures depend on several parallel effects, such as the time in use ℒ and the mileage ℋ. Manufacturer warranties are typically described by a two-dimensional region in the (ℒ, ℋ)-plane. A proper determination of the warranty limits must be based on a two-dimensional distribution of time to failure on this plane. The aim of this paper is to demonstrate the possibility of designing individual warranties for a “nontypical” customer who has a very low or very high usage rateb=H/L, and to show a simple way to calculate warranty limits by minimizing the lifetime coefficient of variation. The latter is carried out by introducing the “best” combined time scale in the form 𝒦 = (1−ϵ)ℒ+ϵℋ which provides the minimal lifetime coefficient of variation.
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