This article presents an algorithm for solving a very common water resources management problem. This involves finding the optimal solution to the problem of minimizing the cost of energy consumed during pumping and transporting water from a group of wells to a reservoir to satisfy the water needs of a residential area. This algorithm addresses the problem of minimizing the cost of the energy consumed by pumping groundwater through an iterative process. The results of the algorithm are verified by solving the same problem with the generalized reduced gradient algorithm, which is integrated into the Microsoft Excel Solver add-in. It is found that the algorithm accurately calculates the optimal solution of the problem, while the results of the solutions of similar mathematical programming problems with this algorithm can be used as guides for other more complicated problems.

本文介绍了一种用于解决非常常见的水资源管理问题的算法。这涉及找到最佳解决方案，以最大限度地减少从一组井抽水和将水输送到水库期间消耗的能源成本，以满足住宅区的用水需求。该算法解决了通过迭代过程抽取地下水所消耗的能源成本最小化的问题。通过使用集成到 Microsoft Excel Solver 插件中的广义缩减梯度算法解决相同的问题来验证算法的结果。发现算法准确计算出问题的最优解，