Optimal design of expected lifetime and warranty period for product with quality loss and inspection error

In this study, the authors first address the formulation of modified Pulak and Al-Sultan’s model with quality loss and inspection error for determining the optimum process mean based on maximizing the expected profit per item. Then the modified Ladany and Shore model with integrating quality and reliability is formulated for determining the optimum expected lifetime and warranty period of product based on maximizing the total expected profit.