An Optimization Framework for Pressure Monitoring in Water Distribution Networks: Coupling Krill Herd Algorithm with Monte Carlo-Based Uncertainty Analysis.

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Title: An Optimization Framework for Pressure Monitoring in Water Distribution Networks: Coupling Krill Herd Algorithm with Monte Carlo-Based Uncertainty Analysis.
Authors: Feng, Peng1 (AUTHOR) fengpengccj@163.com, Dong, Shen1,2 (AUTHOR) dongshends@126.com, Li, Hang1 (AUTHOR) 18561688266@163.com, Lv, Mou1 (AUTHOR) qdlvmou@yeah.net
Source: Water Resources Management. Jun2026, Vol. 40 Issue 8, p1-17. 17p.
Subject Terms: *Optimization algorithms, *Monte Carlo method, *Pressure sensors, *Infrastructure (Economics), *Stochastic analysis
Abstract: Optimal placement of pressure monitoring points in the water distribution network (WDN) is essential for ensuring its efficient and reliable operation. Strategic placement of pressure monitoring points enables the system to have effective surveillance and management. However, the problem of parameter equifinality persists in the optimal placement of pressure monitoring points using intelligent optimization algorithms. Recognizing the inherent uncertainty in nodal water demands, this study utilized the Monte Carlo simulation to analyze network behaviors modelled as a normal distribution. A nodal pressure fluctuation coefficient was introduced to quantify the impact of demand stochasticity on the WDN. This metric was then combined with nodal pressure sensitivity to resolve parameter equifinality in the configuration of pressure monitoring points. An optimization model was developed by integrating these factors, and the Krill Herd Algorithm (KHA) was applied to solve the model and determine the optimal configuration of pressure monitoring points. During the simulation, 20,000 random samples were generated based on the steady-state hydraulic model as benchmarks. By calculating and integrating the nodal pressure fluctuation coefficients and nodal sensitivities, the optimal scheme was determined to resolve the issue of parameter equifinality. Quantitative evaluations demonstrated that the preferred layout outperforms alternative candidate schemes by at least 10% in overall monitoring efficacy. This approach provides a robust framework for the strategic design of pressure monitoring point placement schemes for the WDN. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 193809595
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: An Optimization Framework for Pressure Monitoring in Water Distribution Networks: Coupling Krill Herd Algorithm with Monte Carlo-Based Uncertainty Analysis.
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  Data: <searchLink fieldCode="AR" term="%22Feng%2C+Peng%22">Feng, Peng</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> fengpengccj@163.com</i><br /><searchLink fieldCode="AR" term="%22Dong%2C+Shen%22">Dong, Shen</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> dongshends@126.com</i><br /><searchLink fieldCode="AR" term="%22Li%2C+Hang%22">Li, Hang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 18561688266@163.com</i><br /><searchLink fieldCode="AR" term="%22Lv%2C+Mou%22">Lv, Mou</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> qdlvmou@yeah.net</i>
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  Data: <searchLink fieldCode="JN" term="%22Water+Resources+Management%22">Water Resources Management</searchLink>. Jun2026, Vol. 40 Issue 8, p1-17. 17p.
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  Data: *<searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br />*<searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink><br />*<searchLink fieldCode="DE" term="%22Pressure+sensors%22">Pressure sensors</searchLink><br />*<searchLink fieldCode="DE" term="%22Infrastructure+%28Economics%29%22">Infrastructure (Economics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Stochastic+analysis%22">Stochastic analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Optimal placement of pressure monitoring points in the water distribution network (WDN) is essential for ensuring its efficient and reliable operation. Strategic placement of pressure monitoring points enables the system to have effective surveillance and management. However, the problem of parameter equifinality persists in the optimal placement of pressure monitoring points using intelligent optimization algorithms. Recognizing the inherent uncertainty in nodal water demands, this study utilized the Monte Carlo simulation to analyze network behaviors modelled as a normal distribution. A nodal pressure fluctuation coefficient was introduced to quantify the impact of demand stochasticity on the WDN. This metric was then combined with nodal pressure sensitivity to resolve parameter equifinality in the configuration of pressure monitoring points. An optimization model was developed by integrating these factors, and the Krill Herd Algorithm (KHA) was applied to solve the model and determine the optimal configuration of pressure monitoring points. During the simulation, 20,000 random samples were generated based on the steady-state hydraulic model as benchmarks. By calculating and integrating the nodal pressure fluctuation coefficients and nodal sensitivities, the optimal scheme was determined to resolve the issue of parameter equifinality. Quantitative evaluations demonstrated that the preferred layout outperforms alternative candidate schemes by at least 10% in overall monitoring efficacy. This approach provides a robust framework for the strategic design of pressure monitoring point placement schemes for the WDN. [ABSTRACT FROM AUTHOR]
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        Value: 10.1007/s11269-026-04689-x
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      – Code: eng
        Text: English
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        PageCount: 17
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    Subjects:
      – SubjectFull: Optimization algorithms
        Type: general
      – SubjectFull: Monte Carlo method
        Type: general
      – SubjectFull: Pressure sensors
        Type: general
      – SubjectFull: Infrastructure (Economics)
        Type: general
      – SubjectFull: Stochastic analysis
        Type: general
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      – TitleFull: An Optimization Framework for Pressure Monitoring in Water Distribution Networks: Coupling Krill Herd Algorithm with Monte Carlo-Based Uncertainty Analysis.
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            NameFull: Feng, Peng
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            NameFull: Dong, Shen
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            NameFull: Li, Hang
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            NameFull: Lv, Mou
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            – D: 15
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 40
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              Value: 8
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            – TitleFull: Water Resources Management
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