Optimal warranty design and post-warranty maintenance for products subject to stochastic degradation

References

• Alaswad, S. and Xiang, Y. (2017) A review on condition-based maintenance optimization models for stochastically deteriorating system. Reliability Engineering and System Safety, 157, 54–63.
   Web of Science ®Google Scholar
• Aven, T. and Castro, I.T. (2009) A delay-time model with safety constraint. Reliability Engineering and System Safety, 94, 261–267.
   Web of Science ®Google Scholar
• Barlow, R. and Proshan, F. (1965) Mathematical Theory of Reliability, Wiley, New York, NY.
   Google Scholar
• Chen, C.-K., Lo, C.-C. and Weng, T.-C. (2017) Optimal production run length and warranty period for an imperfect production system under selling price dependent on warranty period. European Journal of Operational Research, 259, 401–412.
   Web of Science ®Google Scholar
• Chen, N., Ye, Z.S., Xiang, Y. and Zhang, L. (2015) Condition-based maintenance using the inverse Gaussian degradation model. European Journal of Operational Research, 243, 190–199.
   Web of Science ®Google Scholar
• Chien, Y.H. and Zhang, Z.G. (2015) Analysis of a hybrid warranty policy for discrete time operating products. IIE Transactions, 47, 442–459.
   Web of Science ®Google Scholar
• Darghouth, M.N., Ait-kadia, D. and Chelbic, A. (2017) Joint optimization of design, warranty and price for products sold with maintenance service contracts. Reliability Engineering and System Safety, 165, 197–208.
   Web of Science ®Google Scholar
• Doyen, L. and Gaudoin, O. (2011) Modeling and assessment of ageing and efficiency of corrective and planned preventive maintenance. IEEE Transactions on Reliability, 60, 759–769.
   Web of Science ®Google Scholar
• Huang, H.-Z., Liu, Z.-J. and Murthy, D.N.P. (2007) Optimal reliability, warranty and price for new products. IIE Transactions, 39, 819–827.
   Web of Science ®Google Scholar
• Huang, Y.-S., Gau, W.-Y. and Ho, J.-W. (2015) Cost analysis of two-dimensional warranty for products with periodic preventive maintenance. Reliability Engineering and System Safety, 134, 51–58.
   Web of Science ®Google Scholar
• Huang, Y.-S. and Yen, C. (2009) A study of two-dimensional warranty policies with preventive maintenance. IIE Transactions, 41, 299–308.
   Web of Science ®Google Scholar
• Li, K., Mallik, S. and Chhajed, D. (2011) Design of extended warranties in supply chains under additive demand. Production and Operations Management Society, 21(4), 730–746.
   Web of Science ®Google Scholar
• Liao, H.T., Elsayed, E.A. and Chan, L.-Y. (2006) Maintenance of continuously monitored degradation systems. European Journal of Operational Research, 175, 821–835.
   Web of Science ®Google Scholar
• Liu, B., Wu, J. and Xie, M. (2015) Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty. European Journal of Operational Research, 243, 874–882.
   Web of Science ®Google Scholar
• Liu, X., Li, J., Al-Khalifa, K.N., Hamouda, A.S., Coit, D.W. and Elsayed, E.A. (2013) Condition-based maintenance for continuously monitored degrading systems with multiple failure modes. IIE Transactions, 45, 422–435.
   Web of Science ®Google Scholar
• Luo, M. and Wu, S. (2018) A mean-variance optimisation approach to collectively pricing warranty policies. International Journal of Production Economics, 196, 101–112.
   Web of Science ®Google Scholar
• Mohammadi, B., Taleizadeh, A.A., Noorossana, R. and Samimi, H. (2015) Optimizing integrated manufacturing and products inspection policy for deteriorating manufacturing system with imperfect inspection. Journal of Manufacturing Systems, 37, 299–315.
   Web of Science ®Google Scholar
• Moshtagh, M.S. and Taleizadeh, A.A. (2017) Stochastic integrated manufacturing and remanufacturing model with shortage, rework and quality based return rate in a closed loop supply chain. Journal of Cleaner Production, 141, 1548–1573.
   Web of Science ®Google Scholar
• Murthy, D.N.P. (1990) Optimal reliability choice in product design. Engineering Optimization, 15, 281–294.
   Google Scholar
• Park, M., Jung, K.M. and Park, D.H. (2016) A generalized age replacement policy for systems under renewing repair-replacement warranty. IEEE Transactions on Reliability, 65, 604–612.
   Web of Science ®Google Scholar
• Park, M. and Pham, H. (2016) Cost models for age replacement policies and block replacement policies under warranty. Applied Mathematical Modelling, 40, 5689–5702.
   Web of Science ®Google Scholar
• Peng, W., Li, Y., Yang, Y., Huang, H. and Zuo, M. (2014) Inverse Gaussian process models for degradation analysis: A Bayesian perspective. Reliability Engineering and System Safety, 130, 175–189.
   Web of Science ®Google Scholar
• Pongpech, J. and Murthy, D.N.P. (2006) Optimal periodic preventive maintenance policy for leased equipment. Reliability Engineering and System Safety, 91, 772–777.
   Web of Science ®Google Scholar
• Ross, S.M. (1970) Applied Probability Models with Optimization Applications, Holden-Day, San Francisco, CA.
   Google Scholar
• Sahin, I. and Polatoglu, H. (1996) Maintenance strategies following the expiration of warranty. IEEE Transactions on Reliability, 45, 220–228.
   Web of Science ®Google Scholar
• Sánchez-Silva, M. and Klutke, G. (2015) Reliability and Life-Cycle Analysis of Deteriorating Systems, Springer, New York, NY.
   Google Scholar
• Shafiee, M., Finkelstein, M. and Bérenguer, C. (2015) Opportunistic condition-based maintenance policy for offshore wind turbine blades subjected to degradation and environmental shocks. Reliability Engineering and System Safety, 142, 463–471.
   Web of Science ®Google Scholar
• Shafiee, M., Finkelstein, M. and Zuo, M.J. (2013) Optimal burn-in and preventive maintenance warranty strategies with time-dependent maintenance costs. IIE Transactions, 45, 1024–1033.
   Web of Science ®Google Scholar
• Shang, L. and Cai, Z. (2017) Optimal replacement policy of products with repair-cost threshold after the extended warranty. Journal of Systems Engineering and Electronics, 28(4), 725–731.
   Web of Science ®Google Scholar
• Shang, L., Si, S. and Cai, Z. (2016) Optimal maintenance–replacement policy of products with competing failures after expiry of the warranty. Computers and Industrial Engineering, 98, 68–77.
   Web of Science ®Google Scholar
• Su, C. and Wang, X. (2016) A two-stage preventive maintenance optimization model incorporating two-dimensional extended warranty. Reliability Engineering and System Safety, 155, 169–178.
   Web of Science ®Google Scholar
• Taleizadeh, A.A. (2018) A constrained integrated imperfect manufacturing-inventory system with preventive maintenance and partial backordering. Annals of Operations Research, 261, 303–337.
   Web of Science ®Google Scholar
• Taleizadeh, A.A., Hadadpour, S., Cárdenas-Barrón, L.E. and Shaikhb, A.A. (2017) Warranty and price optimization in a competitive duopoly supply chain with parallel importation. International Journal of Production Economics, 185, 76–88.
   Web of Science ®Google Scholar
• Taleizadeh, A.A., Samimi, H., Sarkar, B. and Mohammadi, B. (2017) Stochastic machine breakdown and discrete delivery in an imperfect inventory-production system. Journal of Industrial and Management Optimization, 3(13), 1511–1535.
   Google Scholar
• Toledo, M.L.G.D., Freitas, M.A., Colosimo, E.A. and Gilardoni, G.L. (2015) ARA and ARI imperfect repair models: Estimation, goodness-of-fit and reliability prediction. Reliability Engineering and System Safety, 140, 107–115.
   Web of Science ®Google Scholar
• Van, P.D. and Bérenguer, C. (2012) Condition-based maintenance with imperfect preventive repairs for a deteriorating production system. Quality and Reliability Engineering International, 28, 624–633.
   Web of Science ®Google Scholar
• Varnosafaderani, S. and Chukova, S. (2012) A two-dimensional warranty servicing strategy based on reduction in product failure intensity. Computers and Mathematics with Applications, 63, 201–213.
   Web of Science ®Google Scholar
• Wang, H., Wang, G. and Duan, F. (2016) Planning of step-stress accelerated degradation test based on the inverse Gaussian process. Reliability Engineering and System Safety, 154, 97–105.
   Web of Science ®Google Scholar
• Wang, J., Zhou, Z. and Peng, H. (2017) Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance. Reliability Engineering and System Safety, 162, 14–27.
   Web of Science ®Google Scholar
• Wei, J., Zhao, J. and Li, Y. (2015) Price and warranty period decisions for complementary products with horizontal firms' cooperation/noncooperation strategies. Journal of Cleaner Production, 105, 86–102.
   Web of Science ®Google Scholar
• Wu, C.-C., Chou, C.-Y. and Huang, C. (2009) Optimal price, warranty length and production rate for free replacement policy in the static demand market. Omega, 37(1), 29–39.
   Web of Science ®Google Scholar
• Xie, W. (2017) Optimal pricing and two-dimensional warranty policies for a new product. International Journal of Production Research, 22(55), 6857–6870.
   Google Scholar
• Xie, W., Liao, H. and Zhu, X. (2014) Estimation of gross profit for a new durable product considering warranty and post-warranty repairs. IIE Transactions, 46, 87–105.
   Web of Science ®Google Scholar
• Yang, D., He, Z. and He, S. (2016) Warranty claims forecasting based on a general imperfect repair model considering usage rate. Reliability Engineering and System Safety, 145, 147–154.
   Web of Science ®Google Scholar
• Ye, Z.S. and Murthy, D.N.P. (2016) Warranty menu design for a two-dimensional warranty. Reliability Engineering and System Safety, 155, 21–29.
   Web of Science ®Google Scholar
• Ye, Z.S. and Xie, M. (2014) Stochastic modelling and analysis of degradation for highly reliable products. Applied Stochastic Models in Business and Industry, 31, 16–32.
   Web of Science ®Google Scholar
• Zhang, M., Gaudoin, O. and Xie, M. (2015) Degradation-based maintenance decision using stochastic filtering for systems under imperfect maintenance. European Journal of Operational Research, 245, 531–541.
   Web of Science ®Google Scholar
• Zhao, X., Qian, C. and Nakagawa, T. (2017) Comparisons of replacement policies with periodic times and repair numbers. Reliability Engineering and System Safety, 168, 161–170.
   Web of Science ®Google Scholar