Analysis of critical paths in a project network with fuzzy activity times

European Journal of Operational Research

Volumn 183, Issue 1, 2007, Pages 442-459

  Chen, Shih Pin ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

Critical path method (CPM); Fuzzy sets; Project management

Indexed keywords

CRITICAL PATH ANALYSIS; FUZZY SETS; LINEAR PROGRAMMING; MEMBERSHIP FUNCTIONS; PARAMETERIZATION;

CRISP VALUE; DURATION TIME; YAGER RANKING METHOD;

PROJECT MANAGEMENT;

EID: 34249099938     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2006.06.053     Document Type: Article

References (25)

1. Buckley J.J. Possibilistic linear programming with triangular fuzzy numbers. Fuzzy Sets and Systems 26 (1988) 135-138
2. Buckley J.J. Solving possibilistic programming problems. Fuzzy Sets and Systems 31 (1988) 329-341
3. Buckley J.J., and Feuring T. Evolutionary algorithm solution to fuzzy problems: fuzzy linear programming. Fuzzy Sets and Systems 109 (2000) 35-53
4. Chanas S., Dubois D., and Zieliński P. On the sure criticality of tasks in activity networks with imprecise durations. IEEE Transactions on Systems, Man, and Cybernetics - Part B: Cybernetics 32 (2002) 393-407
5. Chanas S., and Kamburoswk J. The use of fuzzy variables in PERT. Fuzzy Sets and Systems 5 (1981) 1-9
6. Chanas S., and Zieliński P. Critical path analysis in the network with fuzzy activity times. Fuzzy Sets and Systems 122 (2001) 195-204
7. Chanas S., and Zieliński P. The computational complexity of the criticality problems in a network with interval activity times. European Journal of Operational Research 136 (2002) 541-550
8. Chanas S., and Zielinski P. On the hardness of evaluating criticality of activities in a planar network with duration intervals. Operations Research Letters 31 (2003) 53-59
9. Dubois D., Fargier H., and Galvagnon V. On latest starting times and floats in activity networks with ill-known durations. European Journal of Operational Research 147 (2003) 266-280
10. Fortemps P., and Roubens M. Ranking and defuzzification methods based on area compensation. Fuzzy Sets and Systems 82 (1996) 319-330
11. Hillier F.S., and Lieberman G.J. Introduction to Operations Research. seventh ed. (2001), McGraw-Hill, Singapore
12. Kaufmann A. Introduction to the Theory of Fuzzy Subsets vol. 1 (1975), Academic Press, New York
13. Krajewski L.J., and Ritzman L.P. Operations Management: Process and Value Chains. seventh ed. (2005), Prentice-Hill, New Jersey
14. Kurihara K., and Nishiuchi N. Efficient Monte Carlo simulation method of GERT-type network for project management. Computers & Industrial Engineering 42 (2002) 521-531
15. Lingo User's Guide, LINDO Systems Inc., Chicago, 1999.
16. Ragsdale C. The current state of network simulation in project management theory and practice. Omega 17 (1989) 21-25
17. Shipley M.F., de Korvin A., and Omer K. BIFPET methodology versus PERT in project management: fuzzy probability instead of the beta distribution. Journal of Engineering and Technology Management 14 (1997) 49-65
18. Slyeptsov A.I., and Tyshchuk T.A. Fuzzy temporal characteristics of operations for project management on the network models basis. European Journal of Operational Research 147 (2003) 253-265
19. Taha H.A. Operations Research: An Introduction. seventh ed. (2003), Prentice-Hall, New Jersey
20. Turksen I.B. Measurement of membership functions and their acquisition. Fuzzy Sets and Systems 40 (1991) 5-38
21. Winston W.L. Operations Research: Applications and Algorithms. fourth ed. (2004), Thomson, Toronto
22. Yager R.R. A procedure for ordering fuzzy subsets of the unit interval. Information Sciences 24 (1981) 143-161
23. Zadeh L.A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1 (1978) 3-28
24. Zieliński P. On computing the latest starting times and floats of activities in a network with imprecise durations. Fuzzy Sets and Systems 150 (2005) 53-76
25. Zimmermann H.J. Fuzzy Set Theory and Its Applications. fourth ed. (2001), Kluwer-Nijhoff, Boston