An algebraic model of three-dimensional synchronized switch scheme
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 112-122 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the handling problem for a three dimensional synchronized switch scheme consisting on the same circle switches with vertical, horizontal and frontal synchronization. The solvability condition is given in terms of the dimension of the scheme and the number of positions of the switches. The explicit solution is given provided that the problem is solvable.
Keywords: switch scheme, handling, modulus over the ring of remainders
Mots-clés : polynomial algorithm.
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A. D. Yashin. An algebraic model of three-dimensional synchronized switch scheme. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 112-122. http://geodesic.mathdoc.fr/item/VUU_2010_1_a9/

[1] Yashin A. D., “Dvumernye sinkhronnye pereklyuchatelnye skhemy”, Modelirovanie i analiz dannykh, Trudy fakulteta informatsionnykh tekhnologii MGPPU, 2, Rusavia, M., 2005, 79–87

[2] Kostrikin A. I., Vvedenie v algebru, Nauka, M., 2002 | MR

[3] Sokolov N. P., Prostranstvennye matritsy i ikh prilozheniya, Fizmatlit, M., 1960 | MR | Zbl

[4] Shafarevich I. R., Osnovnye ponyatiya algebry, Nauka, M., 1999

[5] Rodosskii K. A., Algoritm Evklida, Nauka, M., 1988 | MR | Zbl

[6] Faddeev D. K., Sominskii I. S., Zadachi po vysshei algebre, Uchebnoe posobie, 15-e izd., stereotip, Lan, SPb., 2005

[7] Yashin A. D., “Ob odnoi sinkhronnoi trekhmernoi pereklyuchatelnoi skheme”, Matematicheskoe modelirovanie v obrazovanii, nauke i proizvodstve:, Tez. dokl. V Mezhdunar. konf., Tiraspol, 2007, 61–62

[8] Yashin A. D., Kravchenko N. V., “Algebraicheskaya model odnoi trekhmernoi sinkhronnoi pereklyuchatelnoi skhemy”, Trekhmernaya vizualizatsiya nauchnoi, tekhnicheskoi i sotsialnoi realnosti. Klasternye tekhnologii modelirovaniya, Trudy I Mezhdunar. konf. (Izhevsk, 4–6 fevralya 2009 g.), UdGU, Izhevsk, 108–111