OPTIMUM GENERALIZED COMPOUND LINEAR PLAN FOR MULTIPLE-STEP STEP-STRESS ACCELERATED LIFE TESTS

Subject Areas : International Journal of Mathematical Modelling & Computations

Navin Chandra ¹ , Mashroor Ahmad Kha ²

1 - Pondicherry University India Department of Statistics
2 -

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

Keywords: accelerated life testing, Rayleigh distribution, cumulative exposure model, maximum likelihood estimate, generalized compound linear plan,

Abstract :

In this paper, we consider an i.e., multiple step-stress accelerated life testing (ALT) experiment with unequal duration of time . It is assumed that the time to failure of a product follows Rayleigh distribution with a log-linear relationship between stress and lifetime and also we assume a generalized Khamis-Higgins model for the effect of changing stress levels. Taking into account that the problem of choosing the optimal time for 3-step step-stress tests under compound linear plan was initially attempted by Khamis and Higgins [16]. We ever first have developed a generalized compound linear plan for multiple-step step-stress setting using variance-optimality criteria. Some numerical examples are discussed to illustrate the proposed procedures.

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