Google scholar arxiv informatics ads IJAIS publications are indexed with Google Scholar, NASA ADS, Informatics et. al.

Call for Paper

-

March Edition 2022
International Journal of Applied Information Systems solicits high quality original research papers for the March 2022 Edition of the journal. The last date of research paper submission is February 15, 2022.

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
Download full text

  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