In this paper self-relocated experimental design introduced by Srivastava [1987] has been studied when the life-times of the systems follow generalized exponential distribution. Newton-Raphson method is adopted to obtain the maximum likelihood estimators of the unknown parameters, and the associated standard error. Extensive simulations experiments are conducted to study the performances of the proposed estimators, and also to verify the small sample behaviour of the estimators based on asymptotic results. Further, we study the optimality of the self-relocated design under generalized type-II censoring scheme. Finally, some cost analysis based on simulation study has been carried out.