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Integer compromise allocation in multivariate stratified surveys

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Abstract

In multivariate stratified sampling more than one characteristic are defined on every unit of the population. An optimum allocation which is optimum for one characteristic will generally be far from optimum for others. To resolve this problem, a compromise criterion is needed to work out a usable allocation. In this manuscript, a compromise criterion is discussed and integer compromise allocations are obtained by using goal programming technique. A numerical example is presented to illustrate the computational details, which reveals that the proposed criterion is suitable for working out a usable compromise allocation for multivariate stratified surveys.

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Acknowledgments

The authors are grateful to the Editors and the learned Reviewers for their valuable comments and suggestions that helped to revise the manuscript in its present form. The author M. J. Ahsan is thankful for the financial assistance provided under ‘Emeritus Fellowship’ by the University Grants Commission, Govt. of India to carry out this research.

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Authors and Affiliations

  1. Department of Statistics, Amity University, Noida, India

    Rahul Varshney

  2. School of Computing, Information and Mathematical Sciences, The University of the South Pacific, Suva, Fiji

    M. G. M. Khan

  3. Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India

    Ummatul Fatima & M. J. Ahsan

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  1. Rahul Varshney
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  2. M. G. M. Khan
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  3. Ummatul Fatima
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  4. M. J. Ahsan
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Correspondence to Rahul Varshney.

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Varshney, R., Khan, M.G.M., Fatima, U. et al. Integer compromise allocation in multivariate stratified surveys. Ann Oper Res 226, 659–668 (2015). https://doi.org/10.1007/s10479-014-1734-z

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  • DOI: https://doi.org/10.1007/s10479-014-1734-z

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