Optimization of injection costs for water distribution systems under double-sided fuzziness

ABSTRACT

Booster disinfectant can help control the growth of microorganism in water distribution systems (WDS). To minimize the booster costs under uncertainty, a double-sided fuzziness chance-constrained programming (DFCCP) model was proposed and applied to two cases. The fuzzy nodal response coefficients were obtained by water quality simulation performed by EPANET simulator with consideration of uncertain parameters. The results indicated that the booster costs increased with the confidence level under both maximum and minimum reliability scenarios. Moreover, the booster costs under maximum reliability are greater than those under minimum reliability. In addition, under minimum reliability the booster costs decreased with the uncertainty level for two cases, while under maximum reliability the booster costs increased or decreased with the uncertainty level, which depends on the variation of nodes with minimum response coefficient. The results obtained can help managers make decisions in a complex consideration of costs and risks.

KEYWORDS:

• Water distribution system (WDS)
• chance-constrained optimization (CCP)
• double-sided fuzziness

Authors’ contributions

Xin Huang: Method performing, writing.

Yumin Wang: Results calculation, discussion analysis, conclusion summarization.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Ethical approval

Since the study involves not humans, human data or animals, ethics approval was not required for this research.

Consent to participate

Since the paper article is not a prospective study involving human participants, consent to participate was not required for this research.

Consent to publish

The author confirms:

• That the work described has not been published before (except in the form of an abstract or as part of a published lecture, review, or thesis);

• That it is not under consideration for publication elsewhere.

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.

Additional information

Funding

No funding was obtained for this study.