Specifying optimum water resources based on cost-benefit relationship for settlements by artificial immune systems: Case study of Rutba City, Iraq

Abstract

Abstract The present study aims to specify optimum water resources depending on a cost-benefit relationship for residential areas by heuristic optimization. For this purpose, a case study of Rutba City in Iraq was applied. It is planned that water demand of the city is supplied by four different pumped pipelines (Pipelines 1–4). An optimum water supply among these pipelines was determined by considering their daily incomes (water charge per m3) and expenses (electricity price of pump stations), and daily demand for the city. In order to solve this optimization problem, a heuristic optimization model using a modified clonal selection algorithm (Clonalg), a class of artificial immune aystems was improved. The algorithm was coded in Matlab programming language, and it was run ten times to test its stability. Two objective functions of total daily income and expense were simultaneously used to maximize total daily net income under the constraints of the required daily water demand of the city and pump discharge capacities. Another constraint was that total net income for ten years should finance the initial cost of the unconstructed pipeline 4. The results showed that the optimization model using the modified Clonalg is useful and feasible for determining optimum water supply in terms of the cost-benefit relationship.