The minimum spanning tree problem with fuzzy costs
Fuzzy Optimization and Decision Making
Sensitivity Analysis for the Job Shop Problem with Uncertain Durations and Flexible Due Dates
IWINAC '07 Proceedings of the 2nd international work-conference on The Interplay Between Natural and Artificial Computation, Part I: Bio-inspired Modeling of Cognitive Tasks
Using Ant Colony Optimization algorithm for solving project management problems
Expert Systems with Applications: An International Journal
Minimizing a makespan under uncertainty
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Criticality analysis of activity networks under interval uncertainty
Journal of Scheduling
A path enumeration approach for the analysis of critical activities in fuzzy networks
Information Sciences: an International Journal
Project scheduling under uncertainty using fuzzy modelling and solving techniques
Engineering Applications of Artificial Intelligence
On the Latest Times and Float Times of Activities in a Fuzzy Project Network with LR Fuzzy Numbers
International Journal of Fuzzy System Applications
A fuzzy time-dependent project scheduling problem
Information Sciences: an International Journal
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The notion of the necessary criticality (both with respect to path and to activity) of a network with imprecisely defined (by means of intervals or fuzzy intervals) activity duration times is introduced and analyzed. It is shown, in the interval case, that both the problem of asserting whether a given path is necessarily critical and the problem of determining an arbitrary necessarily critical path (more exactly, a subnetwork covering all the necessarily critical paths) are easy. The corresponding solution algorithms are proposed. However, the problem of evaluating whether a given activity is necessarily critical does not seem to be so easy. Certain conditions are formulated which, in some situations (but not in all possible situations), allow the necessary criticality of activities to be evaluated. The results obtained for networks with interval activity duration times are generalized to the case of networks with fuzzy activity duration times. Two effective algorithms for calculating the degree of necessary criticality of a fixed path, as well as an algorithm for determining the paths that are necessarily critical to the maximum degree, are proposed