In Type-II progressive censoring, determining the optimal censoring scheme among all those available censoring schemes is
 an essential practical issue. Multi-objective optimal approach try to find the optimal design by considering multiple objec
tives simultaneously. In this article, by considering two criteria and using compound optimal approach, the optimal random
 removal vector is obtained in Type-II progressive censoring design with dependent random removal mechanism based on
 logit link function. The considered dependent random removal mechanism based on thelogit link function, including tunning
 parameters which are determined by the experimenter according to the goals of experiment and possible failure distances.
 These parameters adjust the removal probability in the random removal mechanism in order to reduce the cost and time
 of experiment. Determining the optimal value of these parameters according to the optimal criterion results in the optimal
 removal vector. Simulation studies are conducted to evaluate the compound optimal approach and compare the performance
 of the proposed approach with single-objective optimal design. At the end, the conclusions and few possible further works
 are presented.