Fuzzy critical path method

Author

Nasution, Sofjan H.

Author_Institution

Nusantana Aircraft Ind., Bandung, Indonesia

Volume

24

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

48

Lastpage

57

Abstract

There have been several attempts in the literature to apply fuzzy numbers to the critical path method. The result delivers the earliest expected time for each event of the project. This paper shows that further extension can be made by considering the interactive fuzzy subtraction and by observing that only the nonnegative part of the fuzzy numbers can have physical interpretation. Based on these two observations, the formulas for the latest allowable time and slack for each event are presented. The availability of fuzzy slacks provides enough information, at least for certain α-level of the slack, to identify the critical path in the network model of the project. Thus, practically we can generalize the critical path method by accepting imprecise, fuzzy data for the duration of the activities

Keywords

critical path analysis; fuzzy set theory; fuzzy critical path method; fuzzy numbers; fuzzy slacks; imprecise fuzzy data; interactive fuzzy subtraction; latest allowable time; network model; project; Aerospace industry; Aircraft; Algebra; Computer networks; Electrical capacitance tomography; Fuzzy set theory; Fuzzy sets; Helium; Joining processes; Path planning;

fLanguage

English

Journal_Title

Systems, Man and Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9472

Type

jour

DOI

10.1109/21.259685

Filename

259685