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Cost analysis of pro rata and free‐replacement warranties

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  • John W. Mamer

Abstract

This article examines the short run total costs and long run average costs of products under warranty. Formulae for both consumer cost under warranty and producer profit are derived. The results in the case of the pro rata warranty correct a mistake appearing in Blischke and Scheuer [5]. We also show that expected average cost to both the producer and the consumer of a product under warranty depends on both the mean of the product lifetime distribution and on its failure rate.

Suggested Citation

  • John W. Mamer, 1982. "Cost analysis of pro rata and free‐replacement warranties," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(2), pages 345-356, June.
  • Handle: RePEc:wly:navlog:v:29:y:1982:i:2:p:345-356
    DOI: 10.1002/nav.3800290214
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    Cited by:

    1. Nicholas Zaino & Toby Berke, 1994. "Some renewal theory results with application to fleet warranties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(4), pages 465-482, June.
    2. Liu, Bin & Shen, Lijuan & Xu, Jianyu & Zhao, Xiujie, 2020. "A complimentary extended warranty: Profit analysis and pricing strategy," International Journal of Production Economics, Elsevier, vol. 229(C).
    3. Izzet Sahin & Hakan Polatoglu, 1995. "Distributions of manufacturer's and user's replacement costs under warranty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(8), pages 1233-1250, December.
    4. Jie Mi, 1999. "Comparisons of renewable warranties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 91-106, February.
    5. Marcel F. Neuts, 1988. "Computation and applications of geometric mixtures of convolutions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(4), pages 529-537, August.

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