Warranty costs: An age‐dependent failure/repair model

Boyan N. Dimitrov; Stefanka Chukova; Zohel Khalil

doi:10.1002/nav.20037

Warranty costs: An age‐dependent failure/repair model

Boyan N. Dimitrov, Stefanka Chukova, Zohel Khalil

Kettering University

Research output: Contribution to journal › Article › peer-review

Abstract

<p> An age&hyphen;dependent repair model is proposed. The notion of the “calendar age” of the product and the degree of repair are used to define the virtual age of the product. The virtual failure rate function and the virtual hazard function related to the lifetime of the product are discussed. Under a nonhomogeneous Poisson process scenario the expected warranty costs for repairable products associated with linear pro&hyphen;rata, nonrenewing free replacement and renewing free replacement warranties are evaluated. Illustration of the results is given by numerical and graphical examples.</p>

Original language	American English
Journal	Naval Research Logistics (NRL)
Volume	51
DOIs	https://doi.org/10.1002/nav.20037
State	Published - Jul 30 2004

Keywords

warranty cost analysis
virtual age
virtual failure rate
virtual hazard function
pro-rata warranty
maintenance costs
Kijima Model I

Disciplines

Mathematics

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10.1002/nav.20037License: CC BY

https://onlinelibrary.wiley.com/doi/10.1002/nav.20037

Cite this

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title = "Warranty costs: An age‐dependent failure/repair model",

abstract = " An age&hyphen;dependent repair model is proposed. The notion of the “calendar age” of the product and the degree of repair are used to define the virtual age of the product. The virtual failure rate function and the virtual hazard function related to the lifetime of the product are discussed. Under a nonhomogeneous Poisson process scenario the expected warranty costs for repairable products associated with linear pro&hyphen;rata, nonrenewing free replacement and renewing free replacement warranties are evaluated. Illustration of the results is given by numerical and graphical examples.",

keywords = "warranty cost analysis, virtual age, virtual failure rate, virtual hazard function, pro-rata warranty, maintenance costs, Kijima Model I",

author = "Dimitrov, {Boyan N.} and Stefanka Chukova and Zohel Khalil",

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T1 - Warranty costs: An age‐dependent failure/repair model

AU - Dimitrov, Boyan N.

AU - Chukova, Stefanka

AU - Khalil, Zohel

PY - 2004/7/30

Y1 - 2004/7/30

N2 - An age&hyphen;dependent repair model is proposed. The notion of the “calendar age” of the product and the degree of repair are used to define the virtual age of the product. The virtual failure rate function and the virtual hazard function related to the lifetime of the product are discussed. Under a nonhomogeneous Poisson process scenario the expected warranty costs for repairable products associated with linear pro&hyphen;rata, nonrenewing free replacement and renewing free replacement warranties are evaluated. Illustration of the results is given by numerical and graphical examples.

AB - An age&hyphen;dependent repair model is proposed. The notion of the “calendar age” of the product and the degree of repair are used to define the virtual age of the product. The virtual failure rate function and the virtual hazard function related to the lifetime of the product are discussed. Under a nonhomogeneous Poisson process scenario the expected warranty costs for repairable products associated with linear pro&hyphen;rata, nonrenewing free replacement and renewing free replacement warranties are evaluated. Illustration of the results is given by numerical and graphical examples.

KW - warranty cost analysis

KW - virtual age

KW - virtual failure rate

KW - virtual hazard function

KW - pro-rata warranty

KW - maintenance costs

KW - Kijima Model I

UR - https://digitalcommons.kettering.edu/mathematics_facultypubs/34

UR - https://onlinelibrary.wiley.com/doi/10.1002/nav.20037

U2 - 10.1002/nav.20037

DO - 10.1002/nav.20037

M3 - Article

VL - 51

JO - Naval Research Logistics (NRL)

JF - Naval Research Logistics (NRL)

ER -

Warranty costs: An age‐dependent failure/repair model

Abstract

Keywords

Disciplines

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Cite this