OPTIMIZATION OF COMPOSITIONAL EXPERIMENTAL PLANS OF THE JUMPING FROGS METHOD

Николай Дмитриевич Кошевой, Елена Михайловна Костенко, Виктор Владимирович Муратов

Abstract


The second order composition plans are using for the construction of quadratic mathematical models of the probed objects and systems. The plans of the ortogonal central composition planning (OCKP) and rotatable central composition planning (RCKP) behave to them. As criteria of optimization of these plans, cost of experiment plan realization, its time of leading through have been chosen.

The method and software for optimization in the cost and temporal expenses of second order composition plans with the use of spring-elastic frogs algorithm were developed. Software is realized in S++ language. All necessary calculations were executed on a computer with the processor of Intel Pentium G620 with frequency 2.60 Ghz. A necessary volume of memory is 26 Mb. Amount of factors and cost of factors levels transitions were entered with a keyboard, or set in a file.

Realization of spring-elastic frogs method requires the small volume of computer memory and has a high fast-acting decision of task.

The analysis of the known methods of synthesis of optimum on cost and temporal expenses composition the second order plans is conducted and its efficiency is rotined in comparison with the followings methods: swarm of particles, taboo-search, branches and scopes, progressive approximation. By developed method and software for optimization of composition the second order plans with the use of spring-elastic frogs’ algorithm it is possible to attain the high winnings as compared to the initial plan of experiment, optimum or near to optimum results by comparison to the methods of swarm of particles, taboo-search, branches and scopes, progressive approximation, and also high fast-acting of decision of task of optimization as compared to the methods of optimization developed before. The capacity of the developed method is tested at research of process of porous material heat treatment, and also modes of maintenance of the technical systems complex.

It is proved that for optimization plans of OCKP and RCKP the use of spring-elastic frogs method is expedient. In future the results will be used for application of this method at research of the various technical systems.


Keywords


optimal plan, jumping frogs method, optimization, experiment planning, cost, time, gain

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DOI: https://doi.org/10.32620/oikit.2019.86.13

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