On latest starting times and floats in activity networks with ill-known durations

European Journal of Operational Research

Volumn 147, Issue 2, 2003, Pages 266-280

  Dubois, Didier ^a   Fargier, Hélène ^a   Galvagnon, Vincent ^b  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b ONERA   (France)

Author keywords

Critical path analysis; Fuzzy intervals; Intervals; PERT; Scheduling

Indexed keywords

CRITICAL PATH ANALYSIS; FUZZY SETS; MATHEMATICAL MODELS; PERT; PROBLEM SOLVING;

ACTIVITY NETWORKS;

OPERATIONS RESEARCH;

EID: 0037410243     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(02)00560-X     Document Type: Article

References (20)

1. Bacelli F., Jean-Marie A., Liu Z. A survey on solution methods for task graph models. Gotz N., Herzog U., Rettelbach M. Proceedings of the QMIPS Workshop on Formalisms, Principles and State of Arts, PommersFelden, 17-19 Mars 1993. 1993;163-184.
2. Buckley J.J. Fuzzy PERT. Evans G.W., Karwowski W., Wilhelm M. Applications of Fuzzy Set Methodologies in Industrial Engineering. 1989;103-125 Elsevier, Amsterdam.
3. Chanas S., Kamburowski J. The use of fuzzy variables in PERT. Fuzzy Sets and Systems. 5:1981;11-19.
4. Chanas S., Zielinski P. Critical path analysis in the networks with fuzzy activity times. Fuzzy Sets and Systems. 122(2):2001;195-204.
5. Chanas S., Dubois D., Zielinski P. Necessary criticality in the network with imprecise activity times. IEEE Transactions on Man, Machine and Cybernetics. 32:2002;393-407.
6. Chanas S., Zielinski P. The computational complexity of the interval critical path method. European Journal of Operational Research. 136:2002;541-550.
7. Dodin B. Bounding the project completion time distribution in PERT networks. Operations Research. 33(4):1985;862-881.
8. rffrt Dubois, D., 1983. Modèles mathématiques de l'imprécis et de l'incertain en vue d'applications aux techniques d'aide à la décision. Thèse d'état, Université Scientifique et Médicale de Grenoble.
9. Dubois D., Prade H. Possibility Theory. - An Approach to Computerized Processing of Uncertainty:1988;Plenum Press, New York.
10. Dubois, D., Fargier, H., Fortemps, P., 2003. Fuzzy scheduling: Modeling flexible constraints vs. coping with incomplete knowledge. European Journal of Operational Research 147 (2), this issue.
11. Fulkerson D.R. Expected critical path length in PERT type networks. Operations Research. 10:1962;808-817.
12. Hapke M., Jaszkiewicz A., Slowinski R. Fuzzy project scheduling system for software development. Fuzzy Sets and Systems. 67:1994;101-107.
13. Hapke M., Slowinski R. Fuzzy priority heuristics for project scheduling. Fuzzy Sets and Systems. 83:1996;291-299.
14. Lootsma F.A. Stochastic and fuzzy PERT. European Journal of Operational Research. 43:1989;174-183.
15. Malcolm D.G., Roseboom J.H., Clark C.E., Fazar W. Application of a technique for research and development program evaluation. Operations Research. 7:1959;646-669.
16. Nasution S.H. Fuzzy critical path method. IEEE Transactions on Man, Machine and Cybernetics. 24(1):1993;48-57.
17. Prade H. Using fuzzy set theory in a scheduling problem: A case study. Fuzzy Sets and Systems. 2:1979;152-165.
18. Rommelfanger H.J. Network analysis and information flow in fuzzy environment. Fuzzy Sets and Systems. 67:1994;119-128.
19. Steyaert H., Van Parys F., Baekeland R., Kerre E. Implementation of piecewise linear fuzzy quantities. International Journal of Intelligent Systems. 10:1995;1049-1059.
20. Zadeh L.A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems. 1:1978;3-28.