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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

International Journal of Applied Information Systems
Year of Publication: 2015
© 2013 by IJAIS Journal
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

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Keywords

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