Separable Programming to a Multivariate Allocation Problem
Kaynat Nasser and Q S Ahmad. Article: Separable Programming to a Multivariate Allocation Problem. International Journal of Applied Information Systems 9(8):22-24, October 2015. BibTeX
@article{key:article, author = "Kaynat Nasser and Q.S. Ahmad", title = "Article: Separable Programming to a Multivariate Allocation Problem", journal = "International Journal of Applied Information Systems", year = 2015, volume = 9, number = 8, pages = "22-24", month = "October", note = "Published by Foundation of Computer Science (FCS), NY, USA" }
Abstract
In this paper the multivariate allocation problem with upper limits on the available costs for various characters is considered. This problem is formulated as a separable programming problem and then solving it by separable programming approach. A numerical illustration is also given.
Reference
- Neyman, J. (1934). 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.
- Ghosh, S. P. (1958). A note on stratified random sampling with multiple characters. Cal. Stat. Assoc. Bull., 8, 81-89.
- Yates, F. (1960). Sampling methods for censuses and surveys (2nded). Charles Griffin and Co. Ltd. London.
- Cochran, W.G. .(1977). Sampling Techniques. John Wiley & Sons, New York.
- Kokan, A.R.and Khan, S.U. (1967). Optimum Allocation in Multivariate Surveys-An Analytical Solution. Jour. Roy. Stat. Soc. Ser. B.29, 115-125.
- Rao, T.J. (1993). On certain problems of sampling designs and estimation for multiple characteristics. Sankhya B, 55, 372-384.
- Hadley, G. (1964). Non Linear and Dynamic Programming. Addison – Wesley, publishing company, London.
- Pirzada, S. And Maqbool, S. (2003). Optimal Allocation in Multivariate Sampling Through Chebyshev Approximation. Bull. Malaysian Math. Sc. Soc. (Second Series) 26, 221-230
- Morris, H. Hansen, et. Al. (1951) Response errors in surveys. JASA, Vol. 46, No. 254, 147-190.
- Khan, S. (1971). Minimizing a homogeneous separable function constrained by linear inequalities. Aligarh Bulletin of Maths. 1, 63-71.
- Bazaraa, M.S., Sherali, H.D. and Shetty, C.M. (2006) Nonlinear Programming: Theory and Algorithms. John Wiley and Sons, New York, Third Edition.
- Day,C.D.(2010).A Multi-Objective Evolutinary Algorithm for Multivariate Optimal Allocation, Section on Survey Research Methods – JSM.
- Garciá, J.A.D. and Cortez, L.U. (2006). Optimum Allocation in Multivariate Stratified Sampling: Multi-Objective Programming, Comunicaciones Del Cimat, no I-06-07.
- Khan, M. F., Ali I. and Ahmad, Q.S. (2011). Chebyshev Approximate Solution to Allocation Problem in Multiple Objective Surveys with Random Costs, American Journal of Computational Mathematics, 1, pp. 247-251.
- Kozak, M. (2006) . Multivariate Sample Allocation: Application of Random Search Method, Statistics in Transition, 7 (4), pp. 889-900.
- Mohd. Vaseem Ismail , Kaynat Nasser , Qazi Shoeb Ahmad. (2010). Multi-objective convex programming problem arising in multivariate sampling,” International Journal of Engineering, Science and Technology Vol. 2, No. 6, 2010, pp. 291-296.
- M. Khan, I. Ali, Y. Raghav and A. Bari, (2012). Allocation in Multivariate Stratified Surveys with Non-Linear Random Cost Function, American Journal of Operations Research, Vol. 2 No. 1, pp. 100-105.
Keywords
Multivariate allocation problem, non-linear programming, separable programming