EXPERIENCE OF OBTAINING THE PLAN OF EXPERIMENTS, WITH USING MODELS OF INTERACTION OF CHARGED PARTICLES
DOI:
https://doi.org/10.17770/etr2017vol2.2587Keywords:
Experiment plan, charged particle interaction, Latin cube, Hypercube, Uniform distributionAbstract
In this article a method of obtaining an experiment plan in a fragment of multidimensional space is analyzed and improved. The method is based on an assumption that particles will distribute evenly in an infinite space with constant charged particle density. To obtain the experiment plan, the infinite multidimensional space is replaced with a hypercube whose surface models influence of the surrounding infinite space. Software is developed and practical results in obtaining experiment plan in two-dimensional space are acquired. Two-dimensional space allows developing of a methodology and algorithm for obtaining experiment plan while providing a simple visualization of the solution. Acquired results in two-dimensional space give an opportunity to create methods for obtaining experiment plan in a hypercube of multidimensional space.Downloads
References
J. Auzins, A. Janusevskis. „Experiment planning and analysis” Rīga, RTU 2007, ISBN 97-9984-32-157-8
N. A. Butler. „Optimal and Orthogonal Latin Hypercube Designs for Computer Experiements". Biometrika 2001., 88, 847-857
R. J. Iman and M. J. Shortencarier., A FORTRAN77 „Program and User's Guide for Generation of Latin Hypercube and Random Samples for Use with Computer Models”, Sandia National Laboratories, Albuquerque, NM 1984., NUREG/CR-3624, SAND83-2365
P. Audze and V. Eglājs. „New approach to the design of multifactor experiments” Problems of Dynamics and Strengths 35, Zinatne Publishing House, Riga 1977, 104-107
N. Kante, J. Lavendels, “Obtaining The Plan Of Experiments, On The Basis Of Modeling Of Interaction Of Charged Particles” – International Conference on “Theory and practice of simulation modeling and creation of simulators: the accumulation and processing of information, information models, information tools” (in Russian), Penza, Penza State Technological University, 2015, pp.24-28. ISBN 978-59907043-2-9., DOI 10.18411/2016-031-001
N. Kante, M. Kryshchuk, J. Lavendels., “Experiment Plan as a Discreet System Equilibrium State.” Applied Computer Systems. Vol.20, 2016, pp.49-52. ISSN 2255-8683. e-ISSN 2255-8691. Available from: doi:10.1515/acss-2016-0015
N. Kante, J. Lavendels. „Equilibrium state simulation of charged particles based experiment plan obtaining method in discrete systems” Contemporary Information Technologies, Penza State University, 2016, ISSN 1815-2724
N. Kante, M. Kryshchuk, J. Lavendels, “Charged Particle Location Modeling Based Experiment Plan Acquisition Method.” Procedia Computer Science, 2017, Vol.104, pp.592-597. ISSN 1877-0509., doi:10.1016/j.procs.2017.01.177