TY - JOUR
AU - KŠ¾shevoy, N. D.
AU - Kostenko, E. M.
AU - Pavlyk, A. V.
AU - Koshevaya, I. I.
AU - Rozhnova, T. G.
PY - 2019/05/28
Y2 - 2022/05/21
TI - RESEARCH OF MULTIPLE PLANS IN MULTI-FACTOR EXPERIMENTS WITH A MINIMUM NUMBER OF TRANSITIONS OF LEVELS OF FACTORS
JF - Radio Electronics, Computer Science, Control
JA - RIC
VL - 0
IS - 2
SE - Mathematical and computer modelling
DO - 10.15588/1607-3274-2019-2-6
UR - http://ric.zntu.edu.ua/article/view/173962
SP - 53 - 59
AB - Contex. The actual problem of reducing the set of plans for multivariate experiments in searching for the best in price costs has<br />been solved.<br />Objective is the synthesis and study of a variety of experimental plans with a minimum number of transitions of factor levels.<br />Methods. The use of experimental design methods allows reducing the price and time costs in the study of various technological<br />processes, devices and systems.<br />Minimizing the number of transitions of levels of factors in terms of the experiment, in turn, leads to a decrease in the cost (time)<br />of its implementation. One of the methods for reducing the number of transitions of levels of factors is the use of the Gray code when<br />constructing a plan of an experiment.<br />It is shown that multi-factor experiments plans constructed using the Gray code have a minimum number of transitions of factor<br />levels, but are not always optimal in terms of the cost (time) of the experiment.<br />For the synthesis of many experimental plans with a minimum number of transitions of levels of factors in searching for the optimal<br />plan for cost (time) costs, a method based on the generation of binary code variants is proposed. Analysis of their characteristics<br />and the choice of sequences that meet specified requirements were conducted. The formation of test plans for an experiment is<br />carried out according to the method based on the generation of variants for constructing plans, determining equivalence classes with<br />respect to a given group P of transformations and forming a set of typical representatives for the selected equivalence classes.<br />Results. Software that implements the proposed methods, which is used in the construction of a set of experimental plans for the<br />number of factors K = 3 with the minimum number of level transitions was developed.<br />Conclusions. The experiments, which were carried out, confirmed the efficiency of the proposed methods and the software implementing<br />them makes it possible to reduce the set of experiment plans for finding the optimal one. The scientific originality of the<br />research is presented by the methods which allow to synthesize many plans of multifactor experiments to reduce the search for optimal<br />plans in price (time) cost. The practical significance of the research results is in the developed software which implements the<br />proposed methods. It can be widely used in the study of technological processes, devices and systems, on which the implementation<br />of an active experiment is possible.
ER -