Transactions on Data Analysis in Social Science

Transactions on Data Analysis in Social Science

Prediction of Two-Dimensional Baseline Warranty Service Costs Using Monte Carlo Simulation

Document Type : Original Article

Author
Assistant Professor, Department of Mechanical and Industrial Engineering, Faculty of Engineering, Zanjan University
Abstract
For complex and high-value products such as automobiles, manufacturers typically provide a warranty to assure customers of the product’s performance for a specific duration or level of usage. This type of contractual guarantee is often referred to in the literature as a two-dimensional baseline warranty, since it considers both calendar time and accumulated usage. During the warranty period, the manufacturer is responsible for covering the costs of service and repair when failures occur, which may impose a considerable financial burden if not properly anticipated. Therefore, accurately estimating the expected warranty cost is a critical issue for both operational planning and financial management. In this article, we address this concern by modeling the product failure process as a function of both time and usage. To capture the stochastic nature of failures, Monte Carlo simulation is employed, enabling the generation of realistic lifetime and usage scenarios. Furthermore, it is assumed that the service cost depends jointly on the age of the product at the time of failure and the usage level at that point. Based on this framework, the expected service cost over the baseline warranty period is derived. To demonstrate the practical applicability of the approach, a numerical case study is presented. The results indicate that the proposed method provides an efficient and reliable tool for predicting two-dimensional warranty costs, thereby assisting manufacturers in effective resource allocation and decision-making.
Keywords

  • Blischke, W. R., & Murthy, D. N. P. (1991). Product warranty management-I: A taxonomy for warranty policies. European Journal of Operational Research, 62(2), 127–148. https://doi.org/10.1016/0377-2217(92)90242-2
  • Blischke, W. R., & Murthy, D. N. P. (1994). Warranty cost analysis. Marcel Dekker.
  • Blischke, W. R. (1990). Mathematical models for analysis of warranty policies. Mathematical and Computer Modelling, 13(1), 1–16. https://doi.org/10.1016/0895-7177(90)90124-6
  • Murthy, D. N. P., & Jack, N. (2009). Warranty and maintenance. In M. Ben-Daya, S. O. Duffuaa, A. Raouf, J. Knežević, & D. Ait-Kadi (Eds.), Handbook of maintenance management and engineering (pp. 461–478). Springer. https://doi.org/10.1007/978-1-84882-472-0_18
  • Murthy, D. N. P., & Djamaludin, I. (2002). New product warranty: A literature review. International Journal of Production Economics, 79(3), 231–260. https://doi.org/10.1016/S0925-5273(02)00153-6
  • Chen, T., & Popova, E. (2002). Maintenance policies with two-dimensional warranty. Reliability Engineering & System Safety, 77(1), 61–69. https://doi.org/10.1016/S0951-8320(02)00031-5
  • Wang, X., & Xie, W. (2018). Two-dimensional warranty: A literature review. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 232(3), 284–307. https://doi.org/10.1177/1748006X17742776
  • Huang, Y. S., & Yen, C. (2009). A study of two-dimensional warranty policies with preventive maintenance. IIE Transactions, 41(4), 299–308. https://doi.org/10.1080/07408170802432967
  • Huang, Y. S., Gau, W. Y., & Ho, J. W. (2015). Cost analysis of two-dimensional warranty for products with periodic preventive maintenance. Reliability Engineering & System Safety, 134, 51–58. https://doi.org/10.1016/j.ress.2014.10.014
  • Zhang, Z., He, S., He, Z., & Dai, A. (2019). Two-dimensional warranty period optimization considering the trade-off between warranty cost and boosted demand. Computers & Industrial Engineering, 130, 575–585. https://doi.org/10.1016/j.cie.2019.03.014
  • Chukova, S., & Arnold, R. (2004). Two-dimensional warranty servicing strategies. Naval Research Logistics, 51(6), 919–936. https://doi.org/10.1002/nav.20031
  • Chukova, S., Arnold, R., & Wang, H. (2006). Warranty servicing with imperfect repair. International Journal of Production Economics, 102(2), 369–381. https://doi.org/10.1016/j.ijpe.2005.03.002
  • Chukova, S., & Shafiee, M. (2013). Warranty and preventive maintenance: Recent developments and future trends. International Journal of Production Economics, 143(2), 449–457. https://doi.org/10.1016/j.ijpe.2012.04.010
  • Shafiee, M., & Chukova, S. (2013). Maintenance models in warranty: A literature review. European Journal of Operational Research, 229(3), 561–572. https://doi.org/10.1016/j.ejor.2013.01.017
  • [15] Jack, N., & Murthy, D. N. P. (2001). A flexible warranty policy. European Journal of Operational Research, 131(2), 557–571. https://doi.org/10.1016/S0377-2217(00)00126-4
  • Jack, N. (2009). A general framework for warranty policies. European Journal of Operational Research, 194(1), 255–267. https://doi.org/10.1016/j.ejor.2007.11.031
  • Kim, C. O., & Park, M. (2014). Warranty cost analysis under different usage rates and repair options. International Journal of Production Economics, 156, 178–188. https://doi.org/10.1016/j.ijpe.2014.06.005
  • Murthy, D. N. P., Jack, N., & Solem, O. (2004). Warranty logistics: Issues and challenges. European Journal of Operational Research, 156(1), 110–126. https://doi.org/10.1016/S0377-2217(02)00953-5
  • Wu, J. S., & Zuo, M. J. (2010). Warranty analysis for products with two-dimensional failure and repair limits. European Journal of Operational Research, 200(2), 505–513. https://doi.org/10.1016/j.ejor.2009.01.025
  • Wu, J. S., & Zuo, M. J. (2012). Warranty servicing with imperfect preventive maintenance. Reliability Engineering & System Safety, 108, 151–160. https://doi.org/10.1016/j.ress.2012.07.009
  • Wu, J. S., & Zuo, M. J. (2013). Warranty servicing policies for multi-component products. Reliability Engineering & System Safety, 116, 81–89. https://doi.org/10.1016/j.ress.2013.02.016
  • Yeh, R. H., & Chen, T. H. (2006). Warranty cost analysis for products with periodic preventive maintenance. Reliability Engineering & System Safety, 91(8), 973–980. https://doi.org/10.1016/j.ress.2005.09.007
  • Yeh, R. H., Lo, H. C., & Chang, W. L. (2011). Warranty cost analysis for products with imperfect preventive maintenance. European Journal of Operational Research, 212(2), 360–366. https://doi.org/10.1016/j.ejor.2011.01.049
Volume 3, Issue 4
Autumn 2021
Pages 183-190

  • Receive Date 07 May 2021
  • Revise Date 19 August 2021
  • Accept Date 26 November 2021