Warranty cost analysis: Quasi-renewal inter-repair times

Stefanka Chukova, Yu Hayakawa

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Purpose - To provide a brief introduction to warranty analysis and a classification of general repairs. To introduce the notion of accelerated probability distribution and use it to model imperfect warranty repairs. Design/methodology/approach - The notion of accelerated probability distribution is discussed and its similarity with quasi-renewal and geometric processes is observed. An approach to modeling imperfect warranty repairs based on the accelerated probability distributions is presented, and the corresponding expected warranty cost over the warranty period under non-renewing free replacement warranty policy is evaluated. Findings - It is observed that quasi-renewal and the geometric processes are equivalent. Using data from an existing warranty database it is shown that the inter-repair times form a quasi-renewal process. The corresponding expected warranty cost over the warranty period under a non-renewing free replacement warranty policy is evaluated. Research limitations/implications - This approach is applicable only if the cost of the warranty repair is an increasing function of the number of repairs. Practical implications - Provides a useful approach to modeling inter-repair times incorporating the idea of imperfect repairs in practice. Originality/value - Provides an approach to model imperfect warranty repairs and to evaluate the corresponding expected warranty cost.

Original languageEnglish
Pages (from-to)687-698
Number of pages12
JournalInternational Journal of Quality and Reliability Management
Volume22
Issue number7
DOIs
Publication statusPublished - 2005 Sep 26

Keywords

  • Distribution functions
  • Replacement costs
  • Warranties

ASJC Scopus subject areas

  • Business, Management and Accounting(all)
  • Strategy and Management

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