Using a new warranty policy to define optimum values for burn-in and warranty periods
محورهای موضوعی : Deterministic Obtimization
1 - Industrial Engineering Dept., Engineering Faculty, Islamic Azad University (West Tehran Branch), Tehran, Iran
کلید واژه: Optimization, Burn-in method, Bathtub-shaped failure rate, Pro-rata warranty, Linear rebate function,
چکیده مقاله :
In recent years, offering warranty services has become a regular practice in the selling process. Manufacturers try to offer suitable warranty services on their products as an efficient tool to attract new customers and satisfy their current customers. The failure rate curve of many systems shows a bathtub shape with three distinguishable phases. In the first phase, it shows a decreasing rate. During this phase, manufacturers use burn-in methods to eliminate products with early failures. In the second phase, where the curve shows approximately a flat rate, manufacturers offer warranty services. These services assure consumers about the manufacturer's support for the purchased products in case they face failure during the warranty period. In this study, a non-repairable component with a bathtub-shaped failure rate function is considered. In the first phase, if a component fails during the burn-in period, the manufacturer replaces it with a new component. In the second phase, the manufacturer offers a new pro-rata warranty service if a component fails. Considering these assumptions, a cost model is constructed and optimal burn-in time and warranty period are obtained. A numerical illustration is presented to evaluate the impact of the proposed model by calculating the optimum values of burn-in and warranty periods.
[1] Chen, T.Y., Lin, W.T. &Sheu, C., 2018, A dynamic failure rate forecasting model for service parts
inventory. Sustainability, 10(7), 1-23.
[2] Chen, Z., Zhao, T., Luo, S. & Sun, Y., 2017, Warranty Cost Modeling and Warranty Length Optimization Under Two Types of Failure and Combination Free Replacement and Pro-Rata Warranty. IEEE, 5, 11528 –11539.
[3] Dhillon, B., 1979, A hazard rate model. IEEE transactions on reliability, 28(2), 150.
[4] Jain, M. &Maheshwari, S., 2006, Discounted costs for repairable units under hybrid warranty. Applied Mathematics and Computation, 173(2), 887-901.
[5] MoghimiHadji, E., 2021, Optimal length of warranty and burn-in periods considering different types of repair. Journal of Industrial & System Engineering, 13(2), 1-8.
[6] Murthy, DNP. &Blischke, WR., 1992, Product warranty management-III: A review of mathematical models. European Journal of Operational Research, 63(1), 1-34.
[7] Murthy, DNP., 2007, Product reliability and warranty: an overview and future research. Producao, 17(3), 426- 434.
[8] Nasrollahi, M. & Asgharizadeh, E., 2016, Estimation of manufacturer and buyer warranty costs based on a new PRW policy. Journal of Industrial Management, 8(1), 97-112.
[9] Park, M., Jung, KM.& Park,DH.,2014,Optimal warranty policies considering repair service and
replacement service under the manufacturer's perspective. Annals of Operations Research, 244, 1-16.
[10] Park, M., Jung, KM. & Park, DH., 2020, Warranty cost analysis for second-hand products under a two-stage repair-or-full refund policy, Journal of reliability engineering & system safety, 193(C), 106596.
[11] Shafiee, M.,2011, Burn-in and imperfect preventive maintenance strategies for warranted products. Journal of Risk and Reliability, 225(2), 211-218.
[12] Shafiee, M., Finkelstein, M. & Zuo,MJ.,2013, Optimal burn-in and preventive maintenance
warranty strategies with time-dependent maintenance costs. IIE Transactions, 45(9), 1024-1033.
[13] Stamenkovic, D., Popovic, V., SpasojevicBrkic, V. &Radivojevic, J., 2011, Combination free
replacement and pro-rata warranty policy optimization model. Journal of Applied Engineering
Science, 9(4), 456-464.
[14] Wu, CC. &Huang, C, 2007, Optimal burn-in time and warranty length under fully renewing combination free replacement and pro-rata warranty. Reliability Engineering & System Safety,92(7), 914-920.
[15] Yeh, CW. &Fang, CC.,2014, Optimal pro-rata warranty decision with consideration of the marketing strategy under insufficient historical reliability data. The International Journal of Advanced Manufacturing Technology, 71(9-12), 1757–1772.
[16] Zheng, R, & Su, C., 2018, A warranty policy for repairable products with bathtub-shape failure rate. Prognostics & system Health Management Conference, IEEE Press, 427-431.
[17] Moeinedini, M., Raissi, S. and Khalili-Damghani, K. (2018), "A fuzzy fault tree analysis based risk assessment approach for enterprise resource planning projects: A case study in an Iranian foodservice distributor", International Journal of Quality & Reliability Management, 35(5), 1115-1141.
[18] Pourhassan, M.R., Raissi, S. and Apornak, A. (2021), "Modeling multi-state system reliability analysis in a power station under fatal and nonfatal shocks: a simulation approach", International Journal of Quality & Reliability Management, 38(10), 2080- 2094.