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A Note on Optimum Allocation with Non-Linear Cost Function

Mohd. Vaseem Ismail, E. A. Khan, Manoj Kr. Sharma, Kaynat Naseer Published in Applied Mathematics

A Note on Optimum Allocation with Non-Linear Cost Function
International Journal of Applied Information Systems
Year of Publication: 2015
© 2013 by IJAIS Journal
Series Volume 8 Number 2
Authors Mohd. Vaseem Ismail, E. A. Khan, Manoj Kr. Sharma, Kaynat Naseer
10.5120/ijais15-451287
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  1. Mohd. Vaseem Ismail, E A Khan, Manoj Kr. Sharma and Kaynat Naseer. Article: A Note on Optimum Allocation with Non-Linear Cost Function. International Journal of Applied Information Systems 8(2):44-46, January 2015. BibTeX

    @article{key:article,
	author = "Mohd. Vaseem Ismail and E. A. Khan and Manoj Kr. Sharma and Kaynat Naseer",
	title = "Article: A Note on Optimum Allocation with Non-Linear Cost Function",
	journal = "International Journal of Applied Information Systems",
	year = 2015,
	volume = 8,
	number = 2,
	pages = "44-46",
	month = "January",
	note = "Published by Foundation of Computer Science, New York, USA"
}

Abstract

In this paper we consider the optimum allocation for multivariate sampling with non-linear cost function –travel cost. The problem of determining the optimum allocations are formulated as Nonlinear Programming Problems , in which each NLPP has a convex objective function and a non-linear cost constraint. The NLLP's are then solved using Lagrange Multiplier technique and the explicit formula for variance is obtained.

Reference

  1. Cochran, W. G. , Sampling Techniques. John Wiley & Sons, New York. (1977)
  2. Kokan, A. R and Khan, S. U. ,Optimum Allocation in Multivariate Surveys-An analytical Solution. Jour. Roy. Stat. Soc. Ser. B. 29, 115-125 (1967).
  3. Khan, M. G. M. ,Chand,Munish A. and Ahmad Nesar. , Optimum Allocation in Two-stage and Stratified Two-stage Sampling for Multivariate Surveys. ASA Section on Survey Research Methods (2006).
  4. Singh, S. , Advanced Sampling Theory with Applications:How Michael "selected" Amy. Springer(2003)
  5. Chatterjee, S. , Multivariate Stratified Surveys. Jour. Amer. Stat. Assoc. 63, 530-534 (1968).
  6. Neyman, J. , On the Two Different Aspects of Representative Method: The Method of Stratified Sampling and the Method of Purposive Selection. Jour Roy. Stas. Soc. , 97, 558-606 (1934)
  7. Yates, F. , Sampling Methods for Censuses and Surveys (2nd ed). Charles Griffin and Co. Ltd. London (1960)
  8. Aoyama, H. , Stratified Random Sampling with Optimum Allocation for Multivariate Populations. Ann. Inst. Stat. Math. , 14, 251-258 (1963)
  9. Ghosh, S. P. , A Note on Stratified Random Sampling with Multiple Characters. Cal. Stat. Assoc. Bull. , 8, 81-89 (1958).
  10. Bethel, J. , An Optimum Allocation Algorithm for Multivariate Survey. Proceedings of the Survey Research Section, ASA, 204-212 (1985)

Keywords

Multivariate sampling, Travel Cost, Optimum Allocation, Nonlinear programming problem