Constrained Renewable Resource Allocation in Fuzzy Metagraphs

B.Mirza Masoumzadeh; S.S.Hashemin

doi:https://doi.org/10.14445/22315373/IJMTT-V54P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 1 | Year 2018 | Article Id. IJMTT-V54P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P508

Constrained Renewable Resource Allocation in Fuzzy Metagraphs

B.Mirza Masoumzadeh, S.S.Hashemin

Citation :

B.Mirza Masoumzadeh, S.S.Hashemin, "Constrained Renewable Resource Allocation in Fuzzy Metagraphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 1, pp. 69-77, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P508

Abstract

Optimal constrained resource allocation causes decrement in the delay of project. In this research, a project has been shown with a Metagraph. It is assumed that the duration of activities is a positive trapezoidal fuzzy number. A certain type of constrained renewable resource is necessary to execute the activities. The aim is to schedule the activities such that, the delay of the project decreases. Latest start times (LS) and latest finish times (LF) have been computed utilizing the forward and backward computation. Then, activities were ordered ascendingly based on the two above-mentioned criteria. A new heuristic algorithm has been developed to allocate the renewable constrained resource. Five examples were solved using the proposed algorithm based on LS and LF criteria. Finally, start time and finish time of the activities were defined as positive trapezoidal fuzzy numbers. Also, completion time of the project was computed.

Keywords

fuzzy Metagraph, constrained renewable resource allocation, project completion time.

References

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