Estimation of Life with Piecewise Linear-Quadratic Hazard Rate

Abstract

Bladder is an important accessory in the curing operation for tire manufacturing. Failure of bladder, during its use, results in scrap of a large amount of tire under curing. This leads to heavy financial loss to the company. In this article, we deal with estimation of life and determination of replacement plan for bladder. The life of bladder has been modeled using a piecewise linear-quadratic hazard function. A computational procedure is proposed for estimation of life. Finally, a replacement plan for bladder is derived.

Keywords:

• Replacement plan
• Linear-quadratic hazard rate function
• Wear-out point estimation
• Bootstrap

Acknowledgment

The author thanks Prof. Necip Doganaksoy for many helpful comments and suggestions that have improved substantially both the content as well as the presentation of this article.