Document Type : Research Paper
Author
School of Sustainable Engineering and the Built Environment, Arizona State University, Tempe, AZ 85281, USA
Abstract
This paper presents an optimization model for the layout of a branching water distribution system. The goal is to minimize construction costs while meeting the system's demands. The study utilizes the general algebraic modeling system (GAMS) to optimize a non-looping water distribution system. The methodology involves determining the existence and diameter of connections between demand nodes. The optimization problem is formulated as a mixed-integer non-linear programming (MINLP) problem. A simplified layout is used to illustrate the constraints and validate the model. The explicit model implemented in GAMS yields optimal solutions and demonstrates the effectiveness of the approach. The results highlight the decisions on connection existence, flow, and pipe diameter, contributing to cost minimization. The findings from this study provide insights for optimizing the design of branching water distribution systems and reducing construction costs.
Keywords
- Clark, r. M., sivaganesan, m., selvakumar, a., & sethi, v. (2002). Cost models for water supply distribution systems. Journal of water resources planning and management, 312-321.
- https://doi.org/10.1061/(ASCE)0733-9496(2002)128:5(312)
- Steele, J.C., Mahoney, K., Karovic, O. et al.Heuristic Optimization Model for the Optimal Layout and Pipe Design of Sewer Systems. Water Resour Manage 30, 1605–1620 (2016). https://doi.org/10.1007/s11269-015-1191-8
- Hasan Albo-Salih, Larry W. Mays, Daniel Che, 2022, Application of an Optimization/Simulation Model for the Real-Time Flood Operation of River-Reservoir Systems with One- and Two-Dimensional Unsteady Flow Modeling, Water, 2022, 14 (1) 87, https://doi.org/10.3390/w14010087