We compare, at a theoretical level, the RCPSP formulation proposed in [L. Bianco and M. Caramia, Flexible Services and Manufacturing 25 (2013) 6–24.] with the main time indexed linear programming based mathematical models existing in the literature. This paper was inspired by the results of the experimental comparison among these models conducted in our previous work; in fact, such results showed that the formulation proposed by Bianco and Caramia bested the competing approaches. Here, by means of a theoretical analysis, we show the reason for this behaviour.
Accepté le :
DOI : 10.1051/ro/2016036
Mots-clés : Project scheduling, resource constraints, precedence constraints, mathematical model
@article{RO_2017__51_3_519_0,
author = {Bianco, Lucio and Caramia, Massimiliano},
title = {The {Resource} {Constrained} {Project} {Scheduling} {Problem:} {A} theoretical comparison between a recent formulation and the main time indexed linear programming based approaches},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {519--532},
publisher = {EDP-Sciences},
volume = {51},
number = {3},
year = {2017},
doi = {10.1051/ro/2016036},
mrnumber = {3661367},
zbl = {1384.90064},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2016036/}
}
TY - JOUR AU - Bianco, Lucio AU - Caramia, Massimiliano TI - The Resource Constrained Project Scheduling Problem: A theoretical comparison between a recent formulation and the main time indexed linear programming based approaches JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 519 EP - 532 VL - 51 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2016036/ DO - 10.1051/ro/2016036 LA - en ID - RO_2017__51_3_519_0 ER -
%0 Journal Article %A Bianco, Lucio %A Caramia, Massimiliano %T The Resource Constrained Project Scheduling Problem: A theoretical comparison between a recent formulation and the main time indexed linear programming based approaches %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 519-532 %V 51 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2016036/ %R 10.1051/ro/2016036 %G en %F RO_2017__51_3_519_0
Bianco, Lucio; Caramia, Massimiliano. The Resource Constrained Project Scheduling Problem: A theoretical comparison between a recent formulation and the main time indexed linear programming based approaches. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 519-532. doi : 10.1051/ro/2016036. http://www.numdam.org/articles/10.1051/ro/2016036/
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