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Document Type |
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Thesis |
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Document Title |
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Reliability Analysis of Flow Networks تحليل المعوّلية لشبكات التدفق |
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Subject |
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Faculty of Engineering |
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Document Language |
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Arabic |
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Abstract |
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This dissertation studies the reliability analysis of flow networks by the construction of the various type of techniques for analyzing a capacitated network of a two-state and multi-state model in order to assess the performance indexes of some practical systems having fixed channel capacities, such as telecommunication networks or power transmission systems. These techniques include a map procedure which is a very powerful manual tool that provides pictorial insight about the various functional properties and procedures and results in simple symbolic expressions for the performance indexes, network reduction rules associated with delta-star transformations that preserve the source-to-terminal (s-t) capacity function, and a generalization of the max-flow min-cut theorem which is very fast when the network minimal cutsets, and possibly its minimal paths are known. The network capacity is a pseudo-switching function of the branch successes, and hence its mean value is readily obtainable from its sum-of-products expression. This dissertation starts with an introduction to the reliability analysis of flow networks, objectives, and literature review. Next, a review on flow-capacitated network is presented as well as discuss their algorithms, techniques, and applications. This is followed by a tutorial exposition of various methods for analyzing capacitated networks. Moreover, reliability evaluation of multi-state flow networks is examined via a map method which involve two Karnaugh map versions, namely (VEKM) and (MVKM). We assess these two versions of map methods versus the exhaustive search method. In another approach, the dissertation attempts to set the stage for a prospective interplay between ecology and reliability theory concerning the common issue of the concept of a capacitated or flow network. Finally, the dissertation presents three exhaustive tests to show the correctness of reliability expressions in flow networks. |
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Supervisor |
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Prof. Ali Muhammad Ali Rushdi |
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Thesis Type |
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Doctorate Thesis |
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Publishing Year |
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1442 AH
2021 AD |
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Added Date |
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Wednesday, June 23, 2021 |
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Researchers
| عمر متعب السلمي | Al-Salami, Omar Mutab | Researcher | Doctorate | |
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