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Evaluating warranty reserve fund is one of the most intricate problems undertaken by sellers. Many researchers introduced two dimensional models to build realistic models for evaluating warranty cost as a function of product age and its usage extent within a specified warranty period. Most researchers assumed that customers have similar attitudes with respect to usage. However, such similar attitudes cannot be guaranteed. The present work proposes a new random parameter γ in the failure ratedoi:10.14810/ijmech.2017.6102 fatcat:s3capl4mdrbazlkkap57d5gk3i