The warranty policy under fuzzy environment

Purpose – The purpose of this paper is to propose a model that captures the fuzzy events is proposed to find the optimal periods of warranty policies. The model considers repair and replacement actions in the warranty period.Design/methodology/approach – The study transforms the reliability of a traditional set to a fuzzy reliability set that models a problem. The optimality of the model is explored with classical optimal theory. Also, a numerical example is presented to describe how to find an optimal warranty policy.Findings – The study proves that the optimality of a warranty model can be used to find the optimal warranty policy in a fuzzy environment.Originality/value – The model is useful for firms in deciding what the maintenance strategy and warranty period should be in a fuzzy environment.

[1]  Cai Kaiyuan,et al.  Fuzzy variables as a basis for a theory of fuzzy reliability in the possibility context , 1991 .

[2]  Hong-Zhong Huang,et al.  Reliability analysis method in the presence of fuzziness attached to operating time , 1995 .

[3]  R. Kenarangui.  Event-tree analysis by fuzzy probability , 1991 .

[4]  Jayprakash G. Patankar,et al.  Market share and warranty costs for renewable warranty programs , 1997 .

[5]  Robert A. Peterson,et al.  The Price-Perceived Quality Relationship: Experimental Evidence , 1970 .

[6]  T. H. Savits.  Some multivariate distributions derived from a non-fatal shock model , 1988 .

[7]  Gary Anderson,et al.  A Bayesian method on adaptive preventive maintenance problem , 2004, Eur. J. Oper. Res..

[8]  S. Sheu.  A generalized model for determining optimal number of minimal repairs before replacement , 1993 .

[9]  Yeu-Shiang Huang,et al.  Estimation of future breakdowns to determine optimal warranty policies for products with deterioration , 2004, Reliab. Eng. Syst. Saf..

[10]  Hong-Zhong Huang,et al.  Bayesian reliability analysis for fuzzy lifetime data , 2006, Fuzzy Sets Syst..

[11]  Masashi Kowada,et al.  Analysis of a system with minimal repair and its application to replacement policy , 1983 .

[12]  R. Cléroux,et al.  Periodic replacement with minimal repair at failure and general cost function , 1975 .

[13]  T. Onisawa,et al.  Reliability and Safety Analyses under Fuzziness , 1995 .

[14]  D. N. Prabhakar Murthy,et al.  A new repair-replace strategy for items sold with a two-dimensional warranty , 2005, Comput. Oper. Res..

[15]  Kyung S. Park,et al.  Fuzzy weighted-checklist with linguistic variables , 1990 .

[16]  Shey-Huei Sheu,et al.  Optimal lot sizing for products sold under free-repair warranty , 2003, Eur. J. Oper. Res..

[17]  Hoang Pham,et al.  Discounted warranty cost of minimally repaired series systems , 2004, IEEE Trans. Reliab..

[18]  Li-Yen Shue,et al.  Application of optimal control theory to product pricing and warranty with free replacement under the influence of basic lifetime distributions , 2005, Comput. Ind. Eng..

[19]  D. Murthy,et al.  New product warranty: A literature review , 2002 .

[20]  Marlin U. Thomas,et al.  A prediction model for manufacturer warranty reserves , 1989 .

[21]  Ching-Hsue Cheng.  Fuzzy repairable reliability based on fuzzy gert , 1996 .

[22]  Frank Proschan,et al.  Periodic Replacement with Increasing Minimal Repair Costs at Failure , 1982, Oper. Res..

[23]  R. Barlow,et al.  Optimum Preventive Maintenance Policies , 1960 .

[24]  Stefanka Chukova,et al.  Warranty cost analysis: non‐zero repair time , 2004 .

[25]  Chinho Lin,et al.  Dynamic optimal control policy in advertising price and quality , 2001, Int. J. Syst. Sci..

[26]  Toshio Nakagawa,et al.  GENERALIZED MODELS FOR DETERMINING OPTIMAL NUMBER OF MINIMAL REPAIRS BEFORE REPLACEMENT , 1981 .

[27]  Shey-Huei Sheu,et al.  Opportunity-based age replacement policy with minimal repair , 1999 .

[28]  Hideo Tanaka,et al.  Fault-Tree Analysis by Fuzzy Probability , 1983 .