Approaching activity duration in PERT by means of fuzzy sets theory and statistics

Authors:
Konstantinos A. Chrysafis;Basil K. Papadopoulos
Affiliations:
Section of Mathematics and Management, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, Xanthi, Greece;Section of Mathematics and Management, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, Xanthi, Greece
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

Citing 10
Cited 0

A note on PERT times

Management Science
A note on Pert assumptions

Management Science
Better estimation of PERT activity time parameters

Management Science
Network analysis and information flow in fuzzy environment

Fuzzy Sets and Systems - Special issue on operations research
Fuzzy sets and fuzzy logic: theory and applications

Fuzzy sets and fuzzy logic: theory and applications
Application of fuzzy distributions on project management

Fuzzy Sets and Systems
An efficient approach for large scale project planning based on fuzzy Delphi method

Fuzzy Sets and Systems
Fuzzy Probability and Statistics (Studies in Fuzziness and Soft Computing)

Fuzzy Probability and Statistics (Studies in Fuzziness and Soft Computing)
Applying fuzzy method for measuring criticality in project network

Information Sciences: an International Journal
Fuzzy critical path method based on signed distance ranking of fuzzy numbers

IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans

Quantified Score

Hi-index	0.00

Visualization

Abstract

Taking into account the intrinsic drawbacks of both classic and fuzzy PERT, the authors present a new approach in an attempt to deal with them. The tools for this approach are fuzzy statistics and fuzzy probabilities. A necessary condition for this approach is the existence of statistical data for the project activity duration. The final findings are the fuzzy activity times earliest/latest start --earliest/latest finish, the fuzzy float, the Criticality Degree both for each activity and for each path, a fuzzy probability for the activity duration to be in a certain time interval and a fuzzy probability for the project completion time to be in certain time interval. A numerical example is provided for thorough comprehension.