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A fuzzy multi-objective optimization approach for treated wastewater allocation.

Saeid Tayebikhorami1, Mohammad Reza Nikoo2, Mojtaba Sadegh3

  • 1School of Engineering, Department of Civil and Environmental Engineering, Shiraz University, Shiraz, Iran. stayebi96@gmail.com.

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|June 28, 2019
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Summary
This summary is machine-generated.

This study presents a new method for allocating treated wastewater to meet rising demands under uncertain conditions. The approach optimizes water distribution, ensuring reliable supply by considering multiple objectives and system constraints.

Keywords:
Fuzzy transformation method (FTM)NSGA-II multi-objective optimizationPROMETHEE multi-criteria decision-makingSensitivity analysisTreated wastewater allocation

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Area of Science:

  • Environmental Science
  • Water Resource Management
  • Optimization

Background:

  • Conventional water sources are increasingly unreliable due to climate change and socio-environmental shifts.
  • Treated wastewater offers a viable alternative to augment traditional water supplies.
  • Objective allocation of treated wastewater, considering multiple objectives, remains an underexplored area.

Purpose of the Study:

  • To propose a methodology for optimal and objective allocation of treated wastewater.
  • To account for physical constraints and uncertainties in water allocation.
  • To identify trade-offs between different allocation objectives.

Main Methods:

  • A multi-objective optimization model (MOM) was used to find optimal solutions on the Pareto front.
  • Fuzzy transformation method (FTM) was employed to develop fuzzy scenarios addressing system uncertainties.
  • Non-dominated sorting genetic algorithm II (NSGA-II) was adapted to incorporate fuzzy parameter confidence levels.
  • Preference ranking organization method for enrichment evaluation (PROMETHEE) was used to select the best solutions.
  • Sensitivity analysis was performed on criteria weights.

Main Results:

  • The methodology effectively allocates projected treated wastewater, considering uncertainties.
  • Trade-off curves between objective functions were generated.
  • Sensitivity analysis highlighted the significant impact of weight selection in the PROMETHEE method.
  • The framework was applied to Tehran province, Iran, for the planning horizon of 2031.

Conclusions:

  • The proposed methodology provides an efficient approach for confident treated wastewater allocation strategies.
  • Careful selection of criteria weights is crucial for reliable results.
  • The study demonstrates the feasibility of using advanced optimization techniques for water resource management under uncertainty.