Selection Procedures for Selecting Largest Mean Residual Life Distribution

We develop procedures for selecting a life distribution having largest mean residual life of a given age t from the k(k≥2) available distributions, using two-stage selection procedure. In reliability and engineering an experimenter may face the problem of selecting a firm from several competitors, manufacturing components under specific brands with almost identical guarantee life say t, having largest mean residual life beyond a specified age t. The performance ability of the proposed procedures, when the underlying life distributions of components of different firms belong to: (i) the same family and (ii) the different families, have been checked through simulation study. The simulation studies revealed that an initial sample of size 30 (35) is enough in case (i) ((ii)) to apply the proposed procedures.

Keywords:

Ranking and Selection , Two-Stage Procedure: Mean Residual Life.