Note sur les problèmes d'ordonnancement PERT aléatoires

Claude Lefèvre; Philippe Laloyaux

RAIRO - Operations Research - Recherche Opérationnelle (1985)

  • Volume: 19, Issue: 1, page 27-33
  • ISSN: 0399-0559

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Lefèvre, Claude, and Laloyaux, Philippe. "Note sur les problèmes d'ordonnancement PERT aléatoires." RAIRO - Operations Research - Recherche Opérationnelle 19.1 (1985): 27-33. <http://eudml.org/doc/104868>.

@article{Lefèvre1985,
author = {Lefèvre, Claude, Laloyaux, Philippe},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {stochastic scheduling; maximum of random variables; probabilistic PERT scheduling; approximative method; bounds; expected total duration},
language = {fre},
number = {1},
pages = {27-33},
publisher = {EDP-Sciences},
title = {Note sur les problèmes d'ordonnancement PERT aléatoires},
url = {http://eudml.org/doc/104868},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Lefèvre, Claude
AU - Laloyaux, Philippe
TI - Note sur les problèmes d'ordonnancement PERT aléatoires
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1985
PB - EDP-Sciences
VL - 19
IS - 1
SP - 27
EP - 33
LA - fre
KW - stochastic scheduling; maximum of random variables; probabilistic PERT scheduling; approximative method; bounds; expected total duration
UR - http://eudml.org/doc/104868
ER -

References

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  1. 1. B. C. ARNOLD et R. A. GROENEVELD, Bounds on Expectations of Linear Systematic Statistics Based on Dependent Samples, The Annals of Statistics, vol. 7, n°1, 1979, p. 220-223. Zbl0398.62036MR515696
  2. 2. S. E. ELMAGHRABY, On the Expected Duration of PERT Type Networks, Management Science, vol. 13, n° 5, 1967, p. 229-306. Zbl0158.38303
  3. 3. S. E. ELMAGHRABY, Activity Networks, John Wiley and Sons, Inc., New York, 1977. Zbl0385.90076
  4. 4. D. R. FULKERSON, Expected Critical Path Lengths in PERT Networks, Operations Research, vol. 10, n° 6, 1962, p. 808-817. Zbl0124.36304
  5. 5. H. O. HARTLEY et A. W. WORTHAM, A Statistical Theory for PERT Critical Path Analysis, Management Science, vol 12, n° 10, 1966, p. 469-481. Zbl0139.13607
  6. 6. M. B. GARMAN, More on Conditional Sampling in the Simulation of Stochastic Networks, Management Science, vol. 19, n° 1, 1972, p. 90-95. Zbl0241.90022
  7. 7. K. R. MACCRIMMON et C. A. RYAVEC, An Analytical Study of the PERT Assumptions Operations Research, vol.12, n° 1, 1964, p. 16-37. 
  8. 8. P. G. MALCOLM, J. H. ROSEBOOM, C. E. CLARK et W. FAZAR, Application of a Technique for Research and Development, Operations Research, vol. 7, n° 5, 1959, p. 646-669. Zbl1255.90070
  9. 9. J. J. MARTIN, Distribution of Time Through a Directed, Acyclic Network, Operations Research, vol. 13, n° 1, 1965, p. 46-66. Zbl0137.39302MR191650
  10. 10. J. P. MELIN, Proposition d'une Solution Approchée pour l'Étude du Maximum de Plusieurs Variables Aléatoires, R.A.I.R.O.-Rech. Op., vol. 17, n° 2, 1983, p. 175-191. Zbl0519.90045
  11. 11. P. ROBILLARD et M. TRAHAN, Expected Completion Time in PERT Networks, Operations Research, vol. 24, n° 1, 1976, p. 177-182. Zbl0324.90025MR406447
  12. 12. P. ROBILLARD et M. TRAHAN, The Completion Time of PERT Networks, Operations Research, vol. 25, n° 1, 1977, p. 15-29. Zbl0363.68053
  13. 13. B. ROY, Algèbre Moderne et Théorie des Graphes, Dunod, Paris, 1970. Zbl0238.90073MR260413
  14. 14. D. SCULLY, The Completion Time of PERT Networks, J. Operational Research Society, vol. 34, n° 2, 1983, p. 155-158. Zbl0502.90045
  15. 15. A. W. SHOGAN, Bounding Distributions for a Stochastic PERT Network, Networks, vol. 7, n° 4, 1977, p. 359-381. Zbl0366.94042MR496579
  16. 16. R. M. VAN SLYKE, Monte Carlo Methods and the PERT Problem, Operations Research, vol. 11, n° 5, 1963, p. 839-860. 

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