Completion Time in a Metagraph with Fuzzy Duration for Edges

P.Ghasemian Asl; S.S.Hashemin

doi:https://doi.org/10.14445/22315373/IJMTT-V50P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 1 | Year 2017 | Article Id. IJMTT-V50P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P510

Completion Time in a Metagraph with Fuzzy Duration for Edges

P.Ghasemian Asl, S.S.Hashemin

Citation :

P.Ghasemian Asl, S.S.Hashemin, "Completion Time in a Metagraph with Fuzzy Duration for Edges," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 1, pp. 74-79, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P510

Abstract

In this paper, it is supposed that a project can be presented as a Metagraph. In real world, activity durations are often indefinite. In the projects, nondeterministic times can be shown as random variables or fuzzy numbers. Here, we have assumed that the activity times are fuzzy numbers with discrete membership functions. In fuzzy Metagraphs, a new algorithm is developed to execute the forward computations. In forward computations, for defining the maximum number among all the fuzzy numbers, one of the ranking methods of fuzzy numbers is used. Finally, by using the forward computations, critical path(critical edges and critical elements) are defined. Also, completion time of Metagraph, is computed as a fuzzy number. Two examples are solved by using the proposed algorithm.

Keywords

Fuzzy Metagraph, Project Completion Time, Critical Path.

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