Abstract
Many companies analyze field data to enhance the quality and reliability of their products and service. In many cases, it would be too costly and difficult to control their actions. The purpose of this paper is to propose a model that captures fuzzy events, to determine the optimal warning/detection of warranty claims data. The model considers fuzzy proportional-integral-derivative (PID) control actions in the warranty time series. This paper transforms the reliability of a traditional warranty data set to a fuzzy reliability set that models a problem. The optimality of the model is explored using classical optimal theory; also, a numerical example is presented to describe how to find an optimal warranty policy. This paper proves that the fuzzy feedback control for warranty claim can be used to determine a reasonable warning/detection degree in the warranty claims system. The model is useful for companies in deciding what the maintenance strategy and warranty period should be for a large warranty database.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bai, J., Pham, H.: Discounted warranty cost of minimally repaired series systems. IEEE Transactions on Reliability 53(1), 37–42 (2004)
Barlow, R.E., Hunter, L.C.: Optimum preventive maintenance policies. Operation Research 8, 90–100 (1960)
Boland, P.J., Proschan, F.: Periodic replacement with increasing minimal repair costs at failure. Operations Research 30(6), 1183–1189 (1982)
Chukova, S., Hayakawa, Y.: Warranty cost analysis: Non-renewing warranty with repair time. Applied Stochastic Models in Business and Industry 20(1), 59–71 (2004)
Huang, H.Z., Zuo, M.J., Sun, Z.Q.: Bayesian reliability analysis for fuzzy lifetime data. Fuzzy Sets and Systems 157(12), 1674–1686 (2006)
Iskandar, B.P., Murthy, D.N.P., Jack, N.: A new repair-replace strategy for items sold with a two-dimensional warranty. Computers and Operations Research 32(3), 669–682 (2005)
Jhang, J.P., Sheu, S.H.: Opportunity-based age replacement policy with minimal repair. Reliability Engineering and System Safety 64(3), 339–344 (1995)
Juang, M.G., Anderson, G.: A Bayesian method on adaptive preventive maintenance problem. European Journal of Operational Research 155(2), 455–473 (2004)
Lin, P.C., Shue, L.Y.: Application of optimal control theory to product pricing and warranty with free replacement under the influence of basic lifetime distributions. Computers and Industrial Engineering 48(1), 69–82 (2005)
Murthy, D.N.P., Blischke, W.R.: Warranty and reliability. In: Balakrishnan, N., Rao, C.R. (eds.) Handbook of Statistics: Advances in Reliability, pp. 541–583. Elsevier Science, Amsterdam (2001)
Murthy, D.N.P., Djamaludin, I.: New product warranty: A literature review. International Journal of Production Economics 79(3), 231–260 (2002)
Sheu, S.H.: A generalized model for determining optimal number of minimal repairs before replacement. European Journal of Operational Research 69(1), 38–49 (1993)
Suzuki, M.R., Karim, K., Wang, L.: Statistical analysis of reliability warranty data. In: Balakrishnan, N., Rao, C.R. (eds.) Handbook of Statistics: Advances in Reliability, pp. 585–609. Elsevier Science, Amsterdam (2001)
Tilquin, C., Cléroux, R.: Periodic replacement with minimal repair at failure and general cost function. Journal of Statistical Computation Simulation 4(1), 63–67 (1975)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lee, SH., Lee, SJ., Moon, KI. (2011). Application of Fuzzy Feedback Control for Warranty Claim. In: Nguyen, N.T., Trawiński, B., Jung, J.J. (eds) New Challenges for Intelligent Information and Database Systems. Studies in Computational Intelligence, vol 351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19953-0_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-19953-0_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19952-3
Online ISBN: 978-3-642-19953-0
eBook Packages: EngineeringEngineering (R0)