Non-Renewable Constrained Resource Allocation in Fuzzy GERT Networks with Exclusive-or, Probabilistic Nodes

International Journal of Industrial Engineering

© 2020 by SSRG - IJIE Journal

Volume 7 Issue 2

Year of Publication : 2020

Authors : Sanaz Norouziyan, Seyed Saeid Hashemin

10.14445/23499362/IJIE-V7I2P103

How to Cite?

Sanaz Norouziyan, Seyed Saeid Hashemin, "Non-Renewable Constrained Resource Allocation in Fuzzy GERT Networks with Exclusive-or, Probabilistic Nodes," SSRG International Journal of Industrial Engineering, vol. 7,  no. 2, pp. 12-16, 2020. Crossref, https://doi.org/10.14445/23499362/IJIE-V7I2P103

Abstract:

Uncertainty in realization of some activities of the project can be shown by GERT networks. In other words, GERT networks are used to describe these
projects. Also, in the real world, activity durations are nondeterministic and they are dependent on the amount of resource allocated to them. Due to
uncertainty of activity duration, these durations are shown by positive trapezoidal fuzzy numbers. Certain kinds of projects are executed by completing
one path out of the network paths. Therefore, in this research, it is assumed that the project can be shown as a GERT network with Exclusive-or, Probabilistic nodes. Here, two new algorithms have been developed for constrained resource allocation. The first algorithm selects eligible activities to increase the allocated resource and the second algorithm attempts to decrease the completion time of the project through pair comparisons. In an example, advantages of both new algorithms have been presented.

Keywords:

Constrained Resource Allocation, GERT Network, Project Completion Time, Fuzzy Trapezoidal Number.

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