Random Generation Of Combinatorial Sets With Special Properties

Grebennik, I.; Lytvynenko, O.

Публікація:
Random Generation Of Combinatorial Sets With Special Properties

dc.contributor.author	Grebennik, I.
dc.contributor.author	Lytvynenko, O.
dc.date.accessioned	2017-06-08T15:40:03Z
dc.date.available	2017-06-08T15:40:03Z
dc.date.issued	2016
dc.description.abstract	General approach for solving the problem of random generation of compositional k  images of combinatorial sets (k-sets) has been proposed. K-sets are powerful apparatus that can be applied for solving many scientific and applied problems. Though many literature is dedicated to the problem of generating combinatorial configurations, existing studies deals mostly with simple combinatorial configurations like combinations, permutations etc. The algorithms of generation both basic combinatorial sets and k-sets have been described. Algorithm for random generation of basic sets allows generating various combinatorial sets, and laws of constructing basic combinatorial sets can be pre-set. If identification of the laws fails, the algorithm allows using other algorithms to generate basic sets. Complexity of described algorithms has been evaluated. The complexity of the algorithm of generation k-sets is determined by the complexity of generation of basic sets, as well as the complexity of operations of nsubstitution and a number of levels of a certain k-set. The described approach to the random generation is very flexible since it allows obtaining various results by varying algorithm parameters. In its turn, it allows adjusting the number of elements for both basic sets and k-sets. The developed software allows solving the described problems of random generation of k -sets and basic combinatorial sets.	uk_UA
dc.identifier.citation	Grebennik I. Random Generation Of Combinatorial Sets With Special Properties / I. Grebennik, O. Lytvynenko // ECONTECHMOD. AN INTERNATIONAL QUARTERLY JOURNAL. – 2016. – Vol.5, No.4. – Р. 43–48.	uk_UA
dc.identifier.uri	http://openarchive.nure.ua/handle/document/3805
dc.language.iso	en	uk_UA
dc.publisher	Polish Academy of Sciences Branch in Lublin, University of Engineering and Economics in Rzeszów, Lviv Polytechnic National University	uk_UA
dc.subject	combinatorial generation, k-set, basic combinatorial set, random generation, complexity.	uk_UA
dc.title	Random Generation Of Combinatorial Sets With Special Properties	uk_UA
dc.type	Article	uk_UA
dspace.entity.type	Publication