An application of Prekopa's theorem on the logconcavity of warranty reserves in reliability engineering

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Ortega, Eva Maria^1 ; Alonso, Jose^2

MTM2009-13433, Ministerio Economia Competitividad. Res. Universit Oblats, Murcia

30001, Spain^1

Hospital University Virgen Arrixaca, Murcia

30120, Spain^2

关键词: Logconcavity;    Production and inventory control;    Reliability engineering;    Upper Bound;    Warranty policy;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012018/pdf
DOI  :  10.1088/1742-6596/574/1/012018

来源: IOP

【 摘 要 】

The log-concavity of the expected refund rate for an item with a nonrenewing pro-rata rebate warranty policy, and of the expected total reserve to service the warranty over the item life cycle under the same policy are proved. Upper bounds of warranty reserves are derived. The results are extended to other measures for spares and repairs under other warranty policies. Applications are given to ranking items' prices and production and inventory control.