Research of production groups formation problem subject to logical restrictions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 2, pp. 145-149.

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is devoted to the production groups formation problem subject to logical restrictions, reflecting interpersonal relations in a team. Mathematical models are developed and investigated using graph theory and linear integer programming, a number of algorithms of combinatorial type is presented, their theoretical and experimental analyses are conducted.
Keywords: operations research, discrete optimization, linear integer programming, heuristics.
Mots-clés : production group
@article{JSFU_2013_6_2_a0,
     author = {Lubov D. Afanasyeva and Alexander A. Kolokolov},
     title = {Research of production groups formation problem subject to logical restrictions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {145--149},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_2_a0/}
}
TY  - JOUR
AU  - Lubov D. Afanasyeva
AU  - Alexander A. Kolokolov
TI  - Research of production groups formation problem subject to logical restrictions
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2013
SP  - 145
EP  - 149
VL  - 6
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2013_6_2_a0/
LA  - en
ID  - JSFU_2013_6_2_a0
ER  - 
%0 Journal Article
%A Lubov D. Afanasyeva
%A Alexander A. Kolokolov
%T Research of production groups formation problem subject to logical restrictions
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2013
%P 145-149
%V 6
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2013_6_2_a0/
%G en
%F JSFU_2013_6_2_a0
Lubov D. Afanasyeva; Alexander A. Kolokolov. Research of production groups formation problem subject to logical restrictions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 2, pp. 145-149. http://geodesic.mathdoc.fr/item/JSFU_2013_6_2_a0/

[1] D. A. Novikov, Mathematical models of formation and functioning of teams, Fizmatlit, Moscow, 2008 (in Russian)

[2] A. V. Shpilenko, “Economical and mathematical models of HR in the enterprise”, Information technology of management in the socio-economic systems, 2009, no. 3, 49–75 (in Russian)

[3] R. E. Burkard, M. Dell'Amico, S. Mortello, Assignment problems, SIAM, Philadelphia, 2009 | MR | Zbl

[4] L. D. Afanasyeva, A. A. Kolokolov, “Design and analysis of algorithm for solving some formation of production groups problems”, Omsk Scientific Bulletin, 110:2 (2012), 39–42 (in Russian)

[5] A. A. Kolokolov, Yu. S. Serysheva, L. D. Shulepova, “Solving of formation of little groups problems subject to interpersonal relations”, XV Baikal International seminar transactions “Optimization methods and their applications”, v. 5, Applied problems, ISDCT SB RAS, Irkutsk, 2011, 61–66 (in Russian)

[6] A. A. Kolokolov, A. V. Artemova, L. D. Afanasyeva, “Solution of some HR problems using optimization methods”, Dynamics of systems, tools and machines, Materials of VIII Intern. scientific and engineering. conf., v. 3, Publishing House of Omsk State Technical University, Omsk, 2012, 55–58 (in Russian)

[7] V. A. Emelichev, O. I. Melnikov, V. I. Sarvanov, R. I. Tyshkevich, Lectures on Graph Theory, B. I. Wissenschaftsferlfg, Manncheim–Vena–Zurich, 1994

[8] M. R. Garey, D. S. Johnson, Computers and Intractability: A Guide to the Theory of $NP$-Completeness, W. H. Freeman, 1979 | MR | Zbl

[9] Sanjoy Dasgupta, C. H. Papadimitriou, Umesh Vazirani Algorithms, McGraw-Hill Science/Engineering/Math, 2006