A Fuzzy Random Chance-Constrained Programming for Water Distribution System under Uncertainty
Publication: Journal of Pipeline Systems Engineering and Practice
Volume 15, Issue 4
Abstract
In this paper, a model with integration of interval programming (IP), chance-constrained programming (CCP), and fuzzy random variables (FRVs), termed as an inexact fuzzy random chance-constrained programming (IFRCCP) model, was proposed to deal with the fuzzy and random uncertainties in optimization of booster cost for a water distribution system (WDS) under uncertainty. The IFRCCP model was applied to a WDS to verify the efficiency of the method. After formulating the IFRCCP model, the booster cost intervals were obtained under various violation levels and confidence levels. The results indicated that the lower and upper booster costs increased with the confidence levels of the lower limits, and decreased with the violation levels of the lower limits. Moreover, the nodal chlorine concentrations are more uniform with the increase of booster numbers. The booster costs under trapezoidal distribution FRVs are greater than that under triangular distribution FRVs. Moreover, the uniformity of nodal chlorine concentration under triangular fuzzy distributions is larger than that under trapezoidal fuzzy distributions. The results obtained can help managers to make schemes on booster optimization under fuzzy and random uncertainties.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
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Information & Authors
Information
Published In
Journal of Pipeline Systems Engineering and Practice
Volume 15 • Issue 4 • November 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: May 12, 2023
Accepted: Apr 22, 2024
Published online: Jul 11, 2024
Published in print: Nov 1, 2024
Discussion open until: Dec 11, 2024
ASCE Technical Topics:
- Artificial intelligence (AI)
- Artificial intelligence and machine learning
- Benefit cost ratios
- Business management
- Computer programming
- Computing in civil engineering
- Continuum mechanics
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Financial management
- Fuzzy logic
- Mathematics
- Models (by type)
- Motion (dynamics)
- Optimization models
- Practice and Profession
- Probability
- Solid mechanics
- Uncertainty principles
- Water and water resources
- Water management
- Water supply
- Water supply systems
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