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Warranty reserves for nonstationary sales processes

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  • Shau‐Shiang Ja
  • Vidyadhar G. Kulkarni
  • Amitava Mitra
  • Jayprakash G. Patankar

Abstract

Estimation of warranty costs, in the event of product failure within the warranty period, is of importance to the manufacturer. Costs associated with replacement or repair of the product are usually drawn from a warranty reserve fund created by the manufacturer. Considering a stochastic sales process, first and second moments (and thereby the variance) are derived for the manufacturer's total discounted warranty cost of a single sale for single‐component items under four different warranty policies from a manufacturer's point of view. These servicing strategies represent a renewable free‐replacement, nonrenewable free‐replacement, renewable pro‐rata, and a nonrenewable minimal‐repair warranty plans. The results are extended to determine the mean and variance of total discounted warranty costs for the total sales over the life cycle of the product. Furthermore, using a normal approximation, warranty reserves necessary for a certain protection level, so that reserves are not completely depleted, are found. Results and their managerial implications are studied through an extensive example. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 499–513, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10023

Suggested Citation

  • Shau‐Shiang Ja & Vidyadhar G. Kulkarni & Amitava Mitra & Jayprakash G. Patankar, 2002. "Warranty reserves for nonstationary sales processes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(5), pages 499-513, August.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:5:p:499-513
    DOI: 10.1002/nav.10023
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    References listed on IDEAS

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    1. D. G. Nguyen & D. N. P. Murthy, 1984. "Cost analysis of warranty policies," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(4), pages 525-541, December.
    2. John W. Mamer, 1987. "Discounted and Per Unit Costs of Product Warranty," Management Science, INFORMS, vol. 33(7), pages 916-930, July.
    3. Polatoglu, Hakan & Sahin, Izzet, 1998. "Probability distributions of cost, revenue and profit over a warranty cycle," European Journal of Operational Research, Elsevier, vol. 108(1), pages 170-183, July.
    4. Murthy, D. N. P. & Blischke, W. R., 1992. "Product warranty management -- II: An integrated framework for study," European Journal of Operational Research, Elsevier, vol. 62(3), pages 261-281, November.
    5. Murthy, D. N. P. & Blischke, W. R., 1992. "Product warranty management -- III: A review of mathematical models," European Journal of Operational Research, Elsevier, vol. 63(1), pages 1-34, November.
    6. Blischke, W. R. & Murthy, D. N. P., 1992. "Product warranty management -- I: A taxonomy for warranty policies," European Journal of Operational Research, Elsevier, vol. 62(2), pages 127-148, October.
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