Multi-objective Mathematical Programming Model for Optimum Stratification in Multivariate Stratified Sampling

المؤلفون

1 کلية الإقتصاد و العلوم السياسية - جامعة القاهرة . أستاذ البحوث الاجتماعية-مرکز البحوث- الجامعة الأمريکية.

2 عميد کلية التجارة- قسم الإحصاء - جامعة الأزهرفرع البنات بالقاهرة

3 کلية التجارة- قسم الإحصاء - جامعة الأزهر - فرع البنات بالقاهرة

4 کلية التجارة جامعة الأزهر قسم الإحصاء فرع البنات بالقاهرة

المستخلص

Obtaining accurate and reliable data when conducting surveys requires a long time, budget and large workforce so cost and time are especially very important objectives of most surveys thus they are necessitating to be under consideration. Most surveys are conducted in an environment of severe budget constraints and a specific time is required to finish the survey. The data is used to estimate the parameters, determine the characteristics of the population under study, and the possibility of prediction and decision-making.
The study suggested mathematical goal programming model does not depend on a lot of data or surveys, but depends on the distribution, parameters of any population through previous data for the community. A  multi-objective model depend on time and cost used to evaluate the performance of the suggested mathematical goal programming model for exponential distribution.
The suggested Mathematical goal programming model used for getting Optimum Stratum Boundary  and allocate sample size into different strata using two auxiliary variables as stratification factors. A numerical example is presented and the results of the suggested mathematical goal programming are satisfying.  

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