Optimization in progressively Type-II censoring with random sample size based on cost constraint

‎In this paper‎, ‎we consider the progressively Type-II censoring and ‎the sample size is assumed as a random variable from a Poisson distribution. The optimal sample size is determined by considering ‎a‎ cost constraint‎. ‎Towards this end, ‎‎‎we first introduce a cost function and then the optimal parameter of Poisson distribution is obtained so that the cost function does not exceed a pre-fixed value‎. ‎In the following‎, ‎through a simulation study‎, ‎the results are evaluated‎. ‎Finally‎, ‎the conclusion of the article is presented‎.