Maximizing Reliability of Two-Commodity Flow Networks with Time Constraint Using Fuzzy Optimization | ||||
| Aswan University Journal of Sciences and Technology | ||||
| Volume 2, Issue 2, December 2022, Page 14-36 PDF (1.04 MB) | ||||
| Document Type: Original papers | ||||
| DOI: 10.21608/aujst.2022.176925.1007 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Ashraf Mohamed Hemeida  1; Moatamed Refaat Hassan2; Heba Hamdy2
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| 1Department of Electrical Engineering, Faculty of Energy Engineering | ||||
| 2Department of Mathematics, Faculty of Sciences, Aswan University | ||||
| Abstract | ||||
| The main objective of this paper is to study the optimal components assignment problem for a two-commodity flow network via disjoint minimal paths in the existence of system reliability and total lead-time bands. By using fuzzy membership functions, we formulated the problem as fuzzy linear optimization. An algorithm based on genetic algorithm with fuzzy optimization is suggested for solving the presented problem. The proposed approach achieved success in finding an optimal solution that characterized with maximum reliability and minimum total lead-time. Three studied cases are given four nodes, six nodes and fourteen nodes computer networks to illustrate the efficiency of our proposed approach for solving the presented problem. Three studied cases are given four nodes, six nodes and fourteen nodes computer networks to illustrate the efficiency of our proposed approach for solving the presented problem. Three studied cases are given four nodes, six nodes and fourteen nodes computer networks to illustrate the efficiency of our proposed approach for solving the presented problem. | ||||
| Keywords | ||||
| Network Reliability; Stochastic-Flow Networks; Components Assignment Problem; Fuzzy Multi-Objective Linear Programming | ||||
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