A Bivariate Optimal Random Replacement Model for the Warranted Product with Job Cycles

doi:10.3390/math10132225

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	A Bivariate Optimal Random Replacement Model for the Warranted Product with Job Cycles
	Shang, Lijun 1; Du, Yongjun 2; Wu, Cang 3; Ma, Chengye 2
刊名	MATHEMATICS
	2022-07-01
卷号	10 期号:13
关键词	job cycle warranty refund random periodic replacement expected cost rate
DOI	10.3390/math10132225
英文摘要	A monitoring system (MS) has been used to monitor products' job cycles. It is indicated that by incorporating the job cycle into the product's life cycle, warrantors can devise novel warranty models and consumers can define and model random maintenances sustaining the reliability of the product through warranty. In this study, by incorporating limited job cycles and a refund into the traditional free repair warranty, a two-dimensional free repair warranty with a refund (2DFRW-R) is devised for guaranteeing the product reliability to consumers. Under the condition that 2DFRW-R is planned to guarantee product reliability, a bivariate random periodic replacement (BRPR) (i.e., a random periodic replacement where the accomplishment of the Nth job cycle and the replacement time T are designed as replacement limits) is modeled to sustain the post-warranty reliability from the point of view of the consumer. From the point of view of the warrantor, the warranty cost related to 2DFRW-R is derived, and the characteristics of 2DFRW-R are explored. From the point of view of consumers, the expected cost rate related to BRPR is constructed, and the existence and uniqueness of the optimal BRPR are summarized as well. By discussing parameters, several special cases are derived. The characteristics of the proposed models are analyzed in numerical examples.
WOS研究方向	Mathematics
语种	英语
出版者	MDPI
WOS记录号	WOS:000824075200001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/158935]
专题	理学院
作者单位	1.Foshan Univ, Sch Qual Management & Standardizat, Foshan 528225, Peoples R China; 2.Lanzhou Univ Technol, Sch Econ & Management, Lanzhou 730050, Peoples R China; 3.Northwestern Polytech Univ, Sch Mech Engn, Xian 710072, Peoples R China
推荐引用方式 GB/T 7714	Shang, Lijun,Du, Yongjun,Wu, Cang,et al. A Bivariate Optimal Random Replacement Model for the Warranted Product with Job Cycles[J]. MATHEMATICS,2022,10(13).
APA	Shang, Lijun,Du, Yongjun,Wu, Cang,&Ma, Chengye.(2022).A Bivariate Optimal Random Replacement Model for the Warranted Product with Job Cycles.MATHEMATICS,10(13).
MLA	Shang, Lijun,et al."A Bivariate Optimal Random Replacement Model for the Warranted Product with Job Cycles".MATHEMATICS 10.13(2022).