An MINLP model for the minimization of installation and operational costs in water distribution networks

IF 0.6 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES
G. Cassiolato, E. Carvalho, M. Ravagnani
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引用次数: 0

Abstract

Water Distribution Networks (WDN) are important systems for industrial processes and urban centers. WDN can be formed by reservoirs, pipes, nodes, loops, and pumps and its complete design can be formulated as an optimization problem. The majority of published papers in the open literature use meta-heuristics for problem solution, as well as hydraulic simulators to calculate pressures and velocities. In the present study, a Mixed Integer Non-Linear Programming (MINLP) model was developed to the synthesis of WDN considering the minimization of the WDN total cost, given by the sum of installation and operational costs, which is the novelty in the paper. All the hydraulic calculations were included in the model (mass and energy balances and velocity and pressure upper and lower bounds), avoiding the use of additional software. Reformulation techniques are applied to the model considering the use of logarithms and disjunctive programming. Two case studies extracted from real WDN were used to test the model and global optimization techniques were employed to achieve the results. The results obtained show that the operational costs play an important role in the WDN system design.
供水管网安装和运行成本最小化的MINLP模型
给水管网(WDN)是工业过程和城市中心的重要系统。WDN可以由水库、管道、节点、环路和泵组成,其完整设计可以表述为一个优化问题。在公开文献中发表的大多数论文都使用元启发式来解决问题,以及液压模拟器来计算压力和速度。本文提出了一种基于混合整数非线性规划(MINLP)的WDN综合模型,该模型考虑了WDN总成本(即安装成本和运行成本之和)的最小化,这是本文的新颖之处。所有的水力计算都包含在模型中(质量和能量平衡以及速度和压力的上限和下限),避免了使用额外的软件。考虑到对数和析取规划的使用,将重构技术应用于模型。利用从实际WDN中提取的两个案例对模型进行了验证,并采用全局优化技术实现了结果。研究结果表明,运营成本在WDN系统设计中起着重要的作用。
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来源期刊
Acta Scientiarum-technology
Acta Scientiarum-technology 综合性期刊-综合性期刊
CiteScore
1.40
自引率
12.50%
发文量
60
审稿时长
6-12 weeks
期刊介绍: The journal publishes original articles in all areas of Technology, including: Engineerings, Physics, Chemistry, Mathematics, Statistics, Geosciences and Computation Sciences. To establish the public inscription of knowledge and its preservation; To publish results of research comprising ideas and new scientific suggestions; To publicize worldwide information and knowledge produced by the scientific community; To speech the process of scientific communication in Technology.
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