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Multi-objective Compromise Allocation in Multivariate Stratified Sampling Using Extended Lexicographic Goal Programming with Gamma Cost Function

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Journal of Mathematical Modelling and Algorithms in Operations Research

Abstract

In the present paper, a new Gamma cost function is proposed for an optimum allocation in multivariate stratified random sampling with linear regression estimator. Extended lexicographic goal programming is used for solution of multi-objective non-linear integer allocation problem. A real data set is used to illustrate the application.

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Authors and Affiliations

  1. Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

    Yousaf Shad Muhammad, Javid Shabbir, Ijaz Husain & Mitwali Abd-el.Moemen

  2. College of Law and Political Science, King Saud University, Riyadh, Saudi Arabia

    Yousaf Shad Muhammad, Javid Shabbir, Ijaz Husain & Mitwali Abd-el.Moemen

Authors
  1. Yousaf Shad Muhammad
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  2. Javid Shabbir
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  3. Ijaz Husain
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  4. Mitwali Abd-el.Moemen
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Correspondence to Yousaf Shad Muhammad.

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Muhammad, Y.S., Shabbir, J., Husain, I. et al. Multi-objective Compromise Allocation in Multivariate Stratified Sampling Using Extended Lexicographic Goal Programming with Gamma Cost Function. J Math Model Algor 14, 255–265 (2015). https://doi.org/10.1007/s10852-014-9270-z

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