Complexity of some project scheduling problem with nonrenewable resources
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 3, pp. 105-112
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In this paper the project scheduling problem with nonreneawble resources and criterion of Net Present Value is considered. We prove that this problem is strongly $NP$-hard. Special case of independent jobs was investigated. We propose the exact algorithm for this case of the problem which is based on dynamic programming scheme. We obtain the cases of the problem when the algorithm became pseudopolynomial.
@article{VNGU_2008_8_3_a6,
author = {V. V. Servakh and T. A. Shcherbinina},
title = {Complexity of some project scheduling problem with nonrenewable resources},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {105--112},
publisher = {mathdoc},
volume = {8},
number = {3},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a6/}
}
TY - JOUR AU - V. V. Servakh AU - T. A. Shcherbinina TI - Complexity of some project scheduling problem with nonrenewable resources JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2008 SP - 105 EP - 112 VL - 8 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a6/ LA - ru ID - VNGU_2008_8_3_a6 ER -
%0 Journal Article %A V. V. Servakh %A T. A. Shcherbinina %T Complexity of some project scheduling problem with nonrenewable resources %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2008 %P 105-112 %V 8 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a6/ %G ru %F VNGU_2008_8_3_a6
V. V. Servakh; T. A. Shcherbinina. Complexity of some project scheduling problem with nonrenewable resources. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 3, pp. 105-112. http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a6/