Maximum entropy principle approach for water distribution network optimization

Hong, Sungi

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https://hdl.handle.net/2142/129328 Copy

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

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.

Graduation Semester

2025-05

Type of Resource

Thesis

Handle URL

https://hdl.handle.net/2142/129328

Copyright and License Information

Copyright 2025 Sungi Hong

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