Using Artificial Bee Colony Algorithm to Determine the Optimum Stratum Boundaries Depending on Neyman Allocation
DOI:
https://doi.org/10.53555/nncse.v3i3.428Keywords:
Stratified random sampling, Artificial Bee Colony, Optimal Strata Boundaries, Neyman AllocationAbstract
In stratified sampling, in order to gain more precision than other methods of sampling, a heterogeneous population is divided into subpopulations, each of which is internally homogeneous. As a result the main problem arising in stratified sampling is to obtain the optimum boundaries. Several numerical and computational methods have been developed for this purpose. Some apply to highly skewed populations and some apply to any kind of populations .This paper proposes an ABC algorithm to solve the problem of stratum boundary while distributing the sample size according to Neyman Allocation method. The ABC algorithm is tested on two groups of populations and a comparative study with Genetic Algorithm (GA) of Keskintürk and Er (2007), Kozak’s (2004), Lavallée and Hidiroglou’s (1988) and Dalenius and Hodges(1959) methods have been implemented. The numerical results show the ability of the proposed algorithm to find the optimal stratified boundaries for a set of standard populations and various standard test functions compared with other algorithms.
References
Pavel PV Mathematical modeling of non-stationary turbulent diffusion using the finite element method//Materials of III region. Conf. "University science - the North Caucasus region." - Stavropol: NCSTU, 1999.- S. 7
PV Korchagin Building a computational scheme for the transport equation using the method of weighted residuals and the finite element method // All-Russia. scientific. Conf. "Mathematical modeling in scientific research." - Stavropol: SGU, 2000. - P. 55-58
PV Korchagin Modeling joint dissemination reactants // Proceedings of the III Mezhregion. Conf. "Students' Science - the Russian economy." - Stavropol: NCSTU, 2002, pp 4-5
Lisanov MV Pchelnikov A., Sumy SI Dispersion modeling of emissions of hazardous substances in the atmosphere of the Society Ros.him.zhurnal them. DI. Medeleeva t.HLIX 2005, number 4, Article 18-28
Berlyand ME Modern problems of atmospheric diffusion and air pollution. - L .: Gidrometeoizdat, 1975. - 448
Volkov VY, Abbas SB The automated system of support for research dissemination of pollutant emissions in the atmosphere News Tula State University. Engineering Issue number 2/2013
Uliasz M., Stocker R.A., Pielke R.A. Regional modelling of air pollution transport in the south-western USA. (In :) Zannetti P. (ed.), Environmental Modelling Vol. III Comput. Mech. Public. Southampton, 1996. 34pp
Chernyavskiy S Mathematical model of process of distribution of gas pollutants in the atmosphere under different weather conditions XX International correspondence scientific-practical conference "Engineering - From Theory to Practice" (Novosibirsk, Russia, April 17, 2013). from. 17-22
Smirnov EA Information system for the modeling of air pollution using ArcGIS // Topical Issues Technical Science: Proceedings of the international. scientific. Conf. - Perm, 2011. - P. 27-31
Aloyan AE The dynamics and kinetics of trace gases and aerosols in the atmosphere. - M .: INM RAS, 2002.- 201 p
Kordzadze A. Mathematical modelling of dynamical and ecological processes in the system sea-landatmosphere // Air, Water and Soil Quality Modelling for Risk and Impact Assessment. - 2007. - PP. 181-193
Sharan M., Gopalakrishnan S.G. Mathematical modeling of diffusion and transport of pollutants in the atmospheric boundary layer // January pure and applied geophysics. - 2003. - Vol. 160. - Issue 1-2. - PP.357-394
Gitis VG, Petrova EN, Pirogov SA, Yurkov EF Mathematical modeling of the pollutants overland flow and transport // Automation and Remote Control. - 2007. - Vol. 68. - Issue 9. - PP. 1643-1653
Khan Y., Shekhu M., Sulochana C. Mathematical model for dispersion and diffusion of chemically reactive pollutants from various sources into a boundary layer with dry deposition // Engineering Computations. - 2013. - Vol. 30. - Issue 5. - PP. 707 - 727
Anderson G.E. Musicales influences on wind fields J. Appl. Meteor., 1971,10, pp. 377-386
Downloads
Published
Issue
Section
License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.