Computational Mathmatics

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Browsing Computational Mathmatics by Author "Dr. Mohammad Nihad Almasri"

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    Cost Value Function Of Water Distribution Networks A Reliability-Based Approach Using Matlab
    (2008) Khalid Ahmad “Mohammad” Hasan As-Sadiq; Dr. Mohammad Najeeb Ass'ad; Dr. Mohammad Nihad Almasri
    Every community on Earth ought to find the appropriate means to distribute water from different sources to a consumption centers. In general, water distribution networks (WDN) attain this. Each network is composed of arches (to deliver water) and nodes (to consume the water delivered). The ability of any WDN to satisfy the requirements at each node under normal and abnormal conditions is one of the dimensions of its reliability. A method was introduced in this work to evaluate the reliability of a WDN for several combinations of diameters. A network solver was used to find the diameter combination successively. The results obtained from the network solver were saved in a text file. This file is then read by MATLAB, in order to do the necessary calculations. The system reliability for each diameter combination was computed. The values of the system reliability of each diameter combination are recorded as a vector in the MATLAB environment. The most important objective is the maximum of the system reliability of all these combinations, which has been achieved by MATLAB. For this maximum reliability value, we have determined the corresponding values of the cost, where each one represents a diameter combination. The minimum of these values is then determined using a computer code that was developed within the method. MATLAB was used to develop the computer program that converts the information into matrices, which make the required outcome easy to obtain and process. A hypothetical case study was developed to demonstrate methodology implementation. The results were composed of two important things: The computed reliability of any WDN and the way to find the least cost design with a value of reliability that is over a minimum boundary value. Another important thing is all the alternatives of reliability values that can be achieved with a specific budget that we already have.