One approach to solving a~discrete production planning problem with interval data
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 48-57
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In this paper, we develop an approach to solving integer programming problems with interval data based on using the possibilities of varying the relaxation set of the problem. This is illustrated by means of an $L$-class enumeration algorithm for solving a dicrete production planning problem. We describe the algorithm and a number of its modifications and present results of a computational experiment for families of problems from the OR Library and with randomly generated initial data. This approach is also applied to obtain approximate solutions of the mentioned problem in its conventional setting.
@article{TIMM_2008_14_2_a5,
author = {M. V. Devyaterikova and A. A. Kolokolov and A. P. Kolosov},
title = {One approach to solving a~discrete production planning problem with interval data},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {48--57},
publisher = {mathdoc},
volume = {14},
number = {2},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a5/}
}
TY - JOUR AU - M. V. Devyaterikova AU - A. A. Kolokolov AU - A. P. Kolosov TI - One approach to solving a~discrete production planning problem with interval data JO - Trudy Instituta matematiki i mehaniki PY - 2008 SP - 48 EP - 57 VL - 14 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a5/ LA - ru ID - TIMM_2008_14_2_a5 ER -
%0 Journal Article %A M. V. Devyaterikova %A A. A. Kolokolov %A A. P. Kolosov %T One approach to solving a~discrete production planning problem with interval data %J Trudy Instituta matematiki i mehaniki %D 2008 %P 48-57 %V 14 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a5/ %G ru %F TIMM_2008_14_2_a5
M. V. Devyaterikova; A. A. Kolokolov; A. P. Kolosov. One approach to solving a~discrete production planning problem with interval data. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 48-57. http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a5/