Optimization of Data Distributed Network System under Uncertainty
The major network design or data distributed problems may be described as constrained optimization problems. Constrained optimization problems include restrictions imposed by the system designers. These limitations are basically due to the system design’s physical limitations or functional requireme...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/7806083 |
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| author | Laxminarayan Sahoo Supriyan Sen Kalishankar Tiwary Sovan Samanta Tapan Senapati |
| author_facet | Laxminarayan Sahoo Supriyan Sen Kalishankar Tiwary Sovan Samanta Tapan Senapati |
| author_sort | Laxminarayan Sahoo |
| collection | DOAJ |
| description | The major network design or data distributed problems may be described as constrained optimization problems. Constrained optimization problems include restrictions imposed by the system designers. These limitations are basically due to the system design’s physical limitations or functional requirements of the network system. Constrained optimization is a computationally challenging job whenever the constraints/limitations are nonlinear and nonconvex. Furthermore, nonlinear programming methods can easily deal same optimization problem if somehow the constraints are nonlinear and convex. In this paper, we have addressed a distributed network design problem involving uncertainty that transmits data across a parallel router. This distributed network design problem is a Jackson open-type network design problem that has been formulated based on the M/M/1 queueing system. Because our network design problem is a nonlinear, convex optimization problem, we have employed a well-known Kuhn–Tucker (K-T) optimality algorithm to solve the same. Here, we have used triangular fuzzy numbers to express uncertain traffic rates and data processing rates. Then, by applying α-level interval of fuzzy numbers and their corresponding parametric representation of α-level intervals, the associated network design problem has been transformed to its parametric form and later has been solved. To obtain the optimal data stream rate in terms of interval and to illustrate the applicability of the entire approach, a hypothetical numerical example has been exhibited. Finally, the most important results have been reported. |
| format | Article |
| id | doaj-art-578a21b44dc54f0896b60d234cb3c60f |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-578a21b44dc54f0896b60d234cb3c60f2025-02-03T01:06:34ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/7806083Optimization of Data Distributed Network System under UncertaintyLaxminarayan Sahoo0Supriyan Sen1Kalishankar Tiwary2Sovan Samanta3Tapan Senapati4Department of Computer and Information ScienceDepartment of Computer and Information ScienceDepartment of MathematicsDepartment of MathematicsSchool of Mathematics and StatisticsThe major network design or data distributed problems may be described as constrained optimization problems. Constrained optimization problems include restrictions imposed by the system designers. These limitations are basically due to the system design’s physical limitations or functional requirements of the network system. Constrained optimization is a computationally challenging job whenever the constraints/limitations are nonlinear and nonconvex. Furthermore, nonlinear programming methods can easily deal same optimization problem if somehow the constraints are nonlinear and convex. In this paper, we have addressed a distributed network design problem involving uncertainty that transmits data across a parallel router. This distributed network design problem is a Jackson open-type network design problem that has been formulated based on the M/M/1 queueing system. Because our network design problem is a nonlinear, convex optimization problem, we have employed a well-known Kuhn–Tucker (K-T) optimality algorithm to solve the same. Here, we have used triangular fuzzy numbers to express uncertain traffic rates and data processing rates. Then, by applying α-level interval of fuzzy numbers and their corresponding parametric representation of α-level intervals, the associated network design problem has been transformed to its parametric form and later has been solved. To obtain the optimal data stream rate in terms of interval and to illustrate the applicability of the entire approach, a hypothetical numerical example has been exhibited. Finally, the most important results have been reported.http://dx.doi.org/10.1155/2022/7806083 |
| spellingShingle | Laxminarayan Sahoo Supriyan Sen Kalishankar Tiwary Sovan Samanta Tapan Senapati Optimization of Data Distributed Network System under Uncertainty Discrete Dynamics in Nature and Society |
| title | Optimization of Data Distributed Network System under Uncertainty |
| title_full | Optimization of Data Distributed Network System under Uncertainty |
| title_fullStr | Optimization of Data Distributed Network System under Uncertainty |
| title_full_unstemmed | Optimization of Data Distributed Network System under Uncertainty |
| title_short | Optimization of Data Distributed Network System under Uncertainty |
| title_sort | optimization of data distributed network system under uncertainty |
| url | http://dx.doi.org/10.1155/2022/7806083 |
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