Optimizing warranty cost in a three-stage non-renewing warranty policy
الموضوعات :Ehsan MoghimiHadji 1 , Ghazaleh EslamiParsa 2
1 - Industrial Engineering Dept., Engineering Faculty, Islamic Azad University (West Tehran Branch), Tehran, Iran
2 - Industrial Engineering Department, Engineering Faculty, Tehran Science and Research University (Islamic Azad University), Tehran, Iran
الکلمات المفتاحية: Optimization, Warranty cost, Three-stage warranty,
ملخص المقالة :
Attracting customers and keeping market share have become more important for manufacturers in today’s competitive market. Offering warranty for their products is one of the techniques that manufacturers use to attract customers. There are different types of warranty policies. Most research in this area has focused on two-stage warranties and little attention has been paid to three-stage warranties. Hence, in this study, a three-stage non-renewing warranty is investigated in which, the length of warranty period is divided into three phases. In the first phase, if the product fails, the cost of repair is fully covered by the manufacturer. In the next phase, if failure happens, most of the repair cost is still covered by the manufacturer while the customer must pay for the rest of it. Finally, in the third phase, if the product faces any failure, most of the repair cost is paid by the customer as the product has been used for quite some time by then. In this study, a repairable system under this type of warranty policy is investigated and warranty cost during this period is derived. To minimize the cost of warranty period, the optimum length of each phase is obtained. Numerical examples are provided to verify the proper performance and applicability of the proposed model.
[1] Esmaeili, M., ShamsiGamchi, N., & Asgharizadeh, E. (2014). Three-level warranty service contract among manufacturer, agent and customer: A game-theoretical approach. European Journal of Operational Research, 239(1), 177–186.
[2] Podolyakina, N. (2017). Estimation of the Relationship between the Products Reliability, Period of Their Warranty Service and the Value of the Enterprise Cost. Procedia Engineering, 178(1), 558–568.
[3] Fang, C. C. (2020). Optimal price and warranty decision for durable products in a competitive duopoly market. Reliability Engineering and System Safety, 203(C), 107068.
[4] 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 and Industrial Engineering, 130(1), 575–585.
[5] Monga, A., Zuo, M. (1998). Optimal System Design Considering Maintenance and Warranty. Computers Ops Res. 25(9), 691-705.
[6] Mi, J. (1999). Comparisons of renewable warranties. Naval Research Logistics, 46(1), 91–106.
[7] Iskandar, B. P., Murthy, D. N. P., & Jack, N. (2005). A new repair-replace strategy for items sold with a two-dimensional warranty. Computers and Operations Research, 32(3), 669–682.
[8] MoghimiHadji, E.& Rangan, A. (2012). Optimal burn-in, warranty, and maintenance decisions in system design. International Journal of Modelling in Operations Management, 2(3), 266-278.
[9] Chang, W.L. & Lin, J.H. (2012). Optimal maintenance policy and length of extended warranty within the life cycle of products. Computers and Mathematics with Applications, 63(1), 144-150.
[10] Chen, Z., Zhao, T., Luo, S., & Sun, Y. (2017). Warranty cost modeling and warranty cost optimization under two types of failure and combination free replacement and Pro-rata warranty. IEEE, 5, 11528-11539.
[11] Su, C., & Wang, X. (2016). A two-stage preventive maintenance optimization model incorporating two-dimensional extended warranty.Reliability Engineering and System Safety, 155(1), 169–178.
[12] Jung, K. M. (2017). Extended warranty model under minimal repair-replacement warranty policy. International Journal of Reliability and Applications,18(1), 1–8.
[13] Marshall, S., Arnold, R., Chukova, S., & Hayakawa, Y. (2018). Warranty cost analysis: increasing warranty repair times. Applied stochastic models in business and industry, 34(4), 544-561.
[14] Bian, Y., Xie, J., Archibald, T. W., & Sun, Y. (2019). Optimal extended warranty strategy: Offering trade-in service or not?.European Journal of Operational Research, 278(1), 240–254.
[15] Shi, Z. (2019). Optimal remanufacturing and acquisition decisions in warranty service considering part obsolescence. Computers and Industrial Engineering, 135(1), 766–779.
[16] Moghimihadji, E. (2021). Optimal length of warranty and burn-in periods considering different types of repair. Journal of Industrial and Systems Engineering, 13(2), 1–8.
[17] Kijima, M. (1989). Some results for repairable systems with general repair. Journal of Applied Probability Trust, 26(1), 89-102.
[18] Rangan, A., & MoghimiHadji, E. (2011). Approximations to g-renewal functions. International Journal of Quality and Reliability Management, 28(7), 773–780.