This work aims to fill a lacunae in the project-oriented production systems literature providing a formal analytic description of the rework effects formulae and the determination of the extended design time due to a certain degree of overlapping in a pair of activities. It is made through the utilization of concepts of workflow construction with hidden (semi) Markov models theory and establishing a way to disaggregate activities into sub-activities, in order to determine the activity parameters used by the project scheduling techniques. With the aim to make a correlation between the entropy of the state transitions and the probability of changes, the information theory is also used, and the concept of impact caused by the probability of changes is provided. Numerical examples are shown for the purpose to demonstrate the applicability of the concepts developed, and one example of overlapping of two activities is shown. The original contributions of this work are shown on the last section.
Mots clés : activity parameters, sub-activities Markov model, entropy, project scheduling parameters, rework estimation
@article{RO_2014__48_3_303_0,
author = {Marujo, Lino G. and Qassim, Raad Y.},
title = {Process parameter prediction \protect\emph{via }markov models of sub-activities},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {303--324},
publisher = {EDP-Sciences},
volume = {48},
number = {3},
year = {2014},
doi = {10.1051/ro/2014009},
mrnumber = {3264380},
zbl = {1309.90016},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2014009/}
}
TY - JOUR AU - Marujo, Lino G. AU - Qassim, Raad Y. TI - Process parameter prediction via markov models of sub-activities JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2014 SP - 303 EP - 324 VL - 48 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2014009/ DO - 10.1051/ro/2014009 LA - en ID - RO_2014__48_3_303_0 ER -
%0 Journal Article %A Marujo, Lino G. %A Qassim, Raad Y. %T Process parameter prediction via markov models of sub-activities %J RAIRO - Operations Research - Recherche Opérationnelle %D 2014 %P 303-324 %V 48 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2014009/ %R 10.1051/ro/2014009 %G en %F RO_2014__48_3_303_0
Marujo, Lino G.; Qassim, Raad Y. Process parameter prediction via markov models of sub-activities. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 3, pp. 303-324. doi : 10.1051/ro/2014009. http://www.numdam.org/articles/10.1051/ro/2014009/
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