@article{IVM_2004_12_a3,
author = {V. M. Kravtsov},
title = {On new properties of the maximum noninteger vertices of the polytope in the three-index axial assignment problem},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {37--45},
year = {2004},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2004_12_a3/}
}
TY - JOUR AU - V. M. Kravtsov TI - On new properties of the maximum noninteger vertices of the polytope in the three-index axial assignment problem JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2004 SP - 37 EP - 45 IS - 12 UR - http://geodesic.mathdoc.fr/item/IVM_2004_12_a3/ LA - ru ID - IVM_2004_12_a3 ER -
V. M. Kravtsov. On new properties of the maximum noninteger vertices of the polytope in the three-index axial assignment problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2004), pp. 37-45. http://geodesic.mathdoc.fr/item/IVM_2004_12_a3/
[1] Balas E., Saltzman M. J., “Fasets of the three-index assignment polytope”, Discrete Appl. Math., 23:3 (1989), 201–229 | DOI | MR | Zbl
[2] Pierskalla W. P., “The multidimensional assignment problem”, Oper.Res., 16 (1968), 422–431 | DOI | Zbl
[3] Poore A. B., “Multidimensional assignment formulation of data association problems arising from multitarget and multisensor tracking”, Comput. Optimiz. and Applic., 3 (1994), 27–54 | DOI | MR
[4] Arbib C., Pacciarelli D., Smriglio S., “A three-dimensional matching model for perishable production scheduling”, Discrete Appl. Math., 92 (1999), 1–15 | DOI | MR | Zbl
[5] Euler R., “Odd cycles and a class of facets of the axial 3-index assignment polytope”, Zastosowania Matematyki, 19:3–4 (1987), 375–386 | MR | Zbl
[6] Gwan G., Qi L., “On facets of the three-index assignment polytope”, Australasian J. Combinatorics, 6 (1992), 67–87 | MR | Zbl
[7] Qi L., Balas E., Gwan G., “A new facet class and a polyhedral method for the three-index assignment problem”, Advances in Optimization and Approximation, eds. D. Du, J. Sun, Kluwer Academic, 1994, 256–274 | MR | Zbl
[8] Kravtsov M. K., Lukshin E. V., “O netselochislennykh vershinakh mnogogrannika mnogoindeksnoi aksialnoi zadachi vybora”, Izv. vuzov. Matematika, 1999, no. 12, 65–70 | MR | Zbl
[9] Kravtsov M. K., Kravtsov V. M., Lukshin E. V., “O chisle $r$-netselochislennykh vershin mnogogrannika trekhindeksnoi aksialnoi zadachi vybora”, Izv. vuzov. Matematika, 2000, no. 12, 89–92 | MR | Zbl
[10] Kravtsov M. K., Kravtsov V. M., Lukshin E. V., “O tipakh $(3n-2)$-netselochislennykh vershin mnogogrannika trekhindeksnoi aksialnoi zadachi vybora”, Izv. vuzov. Matematika, 2002, no. 12, 84–90 | MR | Zbl
[11] Kravtsov M. K., Kravtsov V. M., Lukshin E. V., “O netselochislennykh vershinakh mnogogrannika trekhindeksnoi aksialnoi zadachi o naznacheniyakh”, Diskretn. matem., 13:2 (2001), 120–143 | MR | Zbl
[12] Kravtsov M. K., Kravtsov V. M., Lukshin E. V., “O chisle netselochislennykh vershin mnogogrannika trekhindeksnoi aksialnoi zadachi o naznacheniyakh”, Vestsi NAN Belarusi. Ser. fiz.-mat. navuk, 2000, no. 4, 59–65 | MR
[13] Kravtsov V. M., “Otsenki snizu chisla netselochislennykh vershin mnogogrannika trekhindeksnoi aksialnoi zadachi o naznacheniyakh”, Vestnik BGU. Ser. 1, 2002, no. 3, 87–90 | MR
[14] Kravtsov V. M., “O novykh tipakh maksimalno netselochislennykh vershin mnogogrannika trekhindeksnoi aksialnoi zadachi o naznacheniyakh”, Vestnik BGU. Ser. 1, 2003, no. 3, 80–85 | MR | Zbl
[15] Emelichev V. A., Kovalev M. M., Kravtsov M. K., Mnogogranniki, grafy, optimizatsiya, Nauka, M., 1981, 342 pp. | MR | Zbl
[16] Emelichev V. A., Kravtsov M. K., “Poliedralnye aspekty mnogoindeksnykh aksialnykh transportnykh zadach”, Diskretn. matem., 3:2 (1991), 3–24 | MR | Zbl
[17] Yudin D. B., Golshtein E. G., Lineinoe programmirovanie. Teoriya i konechnye metody, Fiziko-matematicheskaya literatura, M., 1963, 776 pp. | MR