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2024 | 34 | 4 | 89-101
Tytuł artykułu

Optimization and decision-making for a service contract on machine maintenance

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We investigate a novel maintenance service contract model. The service provider of the machine must determine the optimal pricing structure and staffing levels, while the client selects an appropriate plan for the warranty duration. We consider linear, quadratic, polynomial, and exponential pricing functions for three types of warranties. By building a service model with a non-cooperative game, we obtain the Nash equilibrium of the bargaining solution. Numerical analysis reveals that the optimal warranty period decreases monotonically with service provider revenue and increases monotonically with the maximum prospective service time. Additionally, the market size does not affect the ideal warranty duration when the machine’s lifetime is constant.
Twórcy
autor
  • Faculty of Science and Technology, University of Macau, Macau SAR, China
autor
  • Faculty of Science and Technology, University of Macau, Macau SAR, China
autor
  • Faculty of Business Administration, University of Macau, Macau SAR, China
  • School of Mathematics and Statistics, Central South University, Changsha 410075, Hunan, China, ianzt@um.edu.mo
Bibliografia
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  • Djamaludin, I., Murthy, D. N. P., and Kim, C. S. Warranty and preventive maintenance. International Journal of Reliability, Quality and Safety Engineering 8, 2 (2001), 89–107.
  • Gross, D., and Harris, C. M. Fundamentals of Queueing Theory. John Wiley & Sons, New York, 1985.
  • Hong, S., Wernz, C., and Stillinger, J. D. Optimizing maintenance service contracts through mechanism design theory. Applied Mathematical Modelling 40, 21-22 (2016), 8849–8861.
  • Iskandar, B. P., Sa’idah, N. F., Pasaribu, U. S., Cakravastia, A., and Husniah, H. Warranty and maintenance service contracts for repairable products. Alexandria Engineering Journal 61, 12 (2022), 10819–10835.
  • Jackson, C., and Pascual, R. Optimal maintenance service contract negotiation with aging equipment. European Journal of Operational Research 189, 2 (2008), 387–398.
  • Li, T., He, S., and Zhao, X. Optimal warranty policy design for deteriorating products with random failure threshold. Reliability Engineering & System Safety 218, Part A (2022), 108142.
  • Luo, M., and Wu, S. A value-at-risk approach to optimisation of warranty policy. European Journal of Operational Research 267, 2 (2018), 513–522.
  • Murthy, D. N. P., and Ashgarizadeh, E. Modelling service contracts. Presented at the INFORMS Meeting in New Orleans (1995).
  • Murthy, D. N. P., and Ashgarizadeh, E. Optimal decision making in a maintenance service operation. European Journal of Operational Research 116, 2 (1999), 259–273.
  • Murthy, D. N. P., and Blischke, W. R. Warranty Management and Product Manufacture. Springer, London, 2006.
  • Murthy, D. N. P., and Blischke, W. R. Product warranty management – III: A review of mathematical models. European Journal of Operational Research 63, 1 (1992), 1–34.
  • Murthy, D. N. P., and Blischke, W. R. Strategic warranty management: A life-cycle approach. IEEE Transactions on Engineering Management 47, 1 (2000), 40–54.
  • Murthy, D. N. P., and Djamaludin, I. New product warranty: A literature review. International Journal of Production Economics 79, 3 (2002), 231–260.
  • Murthy, D. N. P., and Padmanabhan, V. A Continuous Time Model of Warranty. Working paper, Graduate School of Business, Stanford University, Stanford, 1993.
  • Pascual, R., and Ortega, J. H. Optimal replacement and overhaul decisions with imperfect maintenance and warranty contracts. Reliability Engineering and System Safety 91, 2 (2006), 241–248.
  • Rubinstein, A. Perfect equilibrium in a bargaining model. Econometrica 50, 1 (1982), 97–109.
  • Shang, L., Qiu, Q., Wu, C., and Du, Y. Random replacement policies to sustain the post-warranty reliability. Journal of Quality in Maintenance Engineering 29, 2 (2022), 481–508.
  • Wang, W. A model for maintenance service contract design, negotiation and optimization. European Journal of Operational Research 201, 1 (2010), 239–246.
  • Yeh, R. H., and Lo, H.-C. Optimal preventive-maintenance warranty policy for repairable products. European Journal of Operational Research 134, 1 (2001), 59–69.
  • Zheng, R., and Su, C. A flexible two-dimensional basic warranty policy with two continuous warranty regions. Quality and Reliability Engineering International 36, 6 (2020), 2003–2018.
  • Zheng, R., Su, C., and Zheng, Y. Two-stage flexible warranty decision-making considering downtime loss. Journal of Risk and Reliability 234, 3 (2019), 527–535.
  • Zheng, R., Zhang, Y., and Gu, L. Optimal post-warranty maintenance contracts for wind turbines considering availability. International Journal of Green Energy 17, 7 (2020), 373–381.
  • Zheng, R., and Zhou, Y. Comparison of three preventive maintenance warranty policies for products deteriorating with age and a time-varying covariate. Reliability Engineering and System Safety 213 (2021), 107676.
Typ dokumentu
Bibliografia
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