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.