Warranty Cost Analysis for Multi-State Products Protected by Lemon Laws
Abstract
:1. Introduction
1.1. Motivation
1.2. Literature Review
2. Assumptions and Cost Analysis of {τ, N} Model
2.1. General Assumptions
2.2. Assumptions of Model
- (1)
- Consider a repairable product sold with a warranty period and the warranty is renewed according to the mechanism. That is, it will be replaced with a new and identical one, and warranty terms are renewed at no charge to customers if the repair time for a failure (regardless of the failure type) is more than or the number of visits to the failure states set over the warranty period exceeds . Suppose that the times for visiting the operating states set are independent random variables having finite expectations and they are also independent of the times for repair actions.
- (2)
- Let be the sequence of repair times. Suppose that are independent and identically distributed random variables with a probability distribution and finite expectation.
- (3)
- At the expiration of the renewable warranty terms, if a repair is in progress, it will be continued at no charge to the customer. Repair times are not included in the warranty period ([13]). Repair times, unless otherwise specified, are not part of the time that the product goes through in this paper.
2.3. Probability Analysis of Model
2.3.1. Renewable Warranty Service Analysis of Model
2.3.2. Nonrenewable Warranty Service Analysis of Model
2.4. Cost Analysis of Model
3. Assumptions and Probability Analysis of {τ, N1, 1} Model
3.1. Assumptions of Model
3.2. Probability Analysis of Model
3.2.1. Renewable Warranty Analysis of Model
3.2.2. Nonrenewable Warranty Service Analysis of Model
3.3. Cost Analysis of Model
4. Numerical Example
4.1. Numerical Example for Model
4.2. Numerical Example for Model
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Wang, L.; Song, Y.; Qiu, Q.; Yang, L. Warranty Cost Analysis for Multi-State Products Protected by Lemon Laws. Appl. Sci. 2023, 13, 1541. https://doi.org/10.3390/app13031541
Wang L, Song Y, Qiu Q, Yang L. Warranty Cost Analysis for Multi-State Products Protected by Lemon Laws. Applied Sciences. 2023; 13(3):1541. https://doi.org/10.3390/app13031541
Chicago/Turabian StyleWang, Liying, Yushuang Song, Qingan Qiu, and Li Yang. 2023. "Warranty Cost Analysis for Multi-State Products Protected by Lemon Laws" Applied Sciences 13, no. 3: 1541. https://doi.org/10.3390/app13031541