Maximum entropy principle approach for water distribution network optimization
Hong, Sungi
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https://hdl.handle.net/2142/129328
Description
Title
Maximum entropy principle approach for water distribution network optimization
Author(s)
Hong, Sungi
Issue Date
2025-05-07
Director of Research (if dissertation) or Advisor (if thesis)
Beck, Carolyn
Department of Study
Industrial&Enterprise Sys Eng
Discipline
Industrial Engineering
Degree Granting Institution
University of Illinois Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Water Distribution Network
Optimization
Deterministic Annealing, Maximum Entropy Principle
Facility Location
Language
eng
Abstract
We propose a deterministic annealing (DA) framework, based on Jaynes’ maximum entropy principle, for simultaneous joint optimization of reservoir placement, network routing, and associated transport costs in water distribution networks (WDNs). Our approach leverages DA to decentralize WDNs, addressing the vulnerabilities of traditional centralized systems and reducing energy costs. We introduce a capacity-constrained formulation that limits the number of demand points served by each intermediate source point, thereby preventing overload and enhancing system stability. To enforce the resulting inequality constraints, we derive update rules for secondary Lagrange multipliers and analyze the sensitivity of the parameters. Finally, we extend the framework to utilize real-world pipe networks and validate our algorithm through a case study on the Modena, Italy network. Experimental results demonstrate that our DA-based method achieves lower operational costs and improved resilience compared to previous approaches.
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