Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty

To sustain water quality in a water distribution system (WDS), disinfectant generally chlorine is boosted to the WDS. However, the concentration of chlorine should be limited to acceptable levels. The upper boundary of the range is set for preventing the occurrence of a disinfectant by-product, whic...

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Autores principales: Yumin Wang, Guangcan Zhu
Formato: article
Lenguaje:EN
Publicado: IWA Publishing 2021
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Acceso en línea:https://doaj.org/article/c5bd00173dd44b43aa79df577645ff23
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spelling oai:doaj.org-article:c5bd00173dd44b43aa79df577645ff232021-11-06T07:09:35ZImproved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty1606-97491607-079810.2166/ws.2020.354https://doaj.org/article/c5bd00173dd44b43aa79df577645ff232021-03-01T00:00:00Zhttp://ws.iwaponline.com/content/21/2/750https://doaj.org/toc/1606-9749https://doaj.org/toc/1607-0798To sustain water quality in a water distribution system (WDS), disinfectant generally chlorine is boosted to the WDS. However, the concentration of chlorine should be limited to acceptable levels. The upper boundary of the range is set for preventing the occurrence of a disinfectant by-product, which is harmful to human health. The lower boundary of the range is set for controlling the growth of microorganisms as well as reducing the injection mass. As such, an optimization model was applied to solve the water quality issue in a WDS. However, in a WDS, chlorine decays and varies with time and space, affected by pipe material, temperature, pH value, and chlorine injection, etc. Therefore, in this paper, an improved fuzzy chance-constrained optimization model was proposed to optimize chlorine injection and location to maintain chlorine in a WDS distributed uniformly. The proposed model was applied to two WDSs to analyze the effect of reliability level and preference parameters on chlorine injection and location. The results indicated that the injection mass increased with the increase in preference parameter. The results also indicated that more booster stations can lower the injection mass, and two booster stations were suitable for WDS in Case 2. The method proposed can be applied to decide how and where to inject chlorine in a WDS under uncertainty, and can help managers determine whether an optimistic or pessimistic attitude should be taken under various reliability levels. HIGHLIGHTS Fuzzy chance-constrained programming model proposed for chlorine injection determination.; mλ-measure method incorporated into fuzzy chance-constrained programming model with consideration of optimism and pessimism.; Effects of reliability level and preference parameter on injection mass are analyzed.; Help determine the location of booster stations.; Help managers determine what attitude should be taken.;Yumin WangGuangcan ZhuIWA Publishingarticlebooster chlorinationimproved fuzzy chance-constrained optimizationwater distribution systemWater supply for domestic and industrial purposesTD201-500River, lake, and water-supply engineering (General)TC401-506ENWater Supply, Vol 21, Iss 2, Pp 750-764 (2021)
institution DOAJ
collection DOAJ
language EN
topic booster chlorination
improved fuzzy chance-constrained optimization
water distribution system
Water supply for domestic and industrial purposes
TD201-500
River, lake, and water-supply engineering (General)
TC401-506
spellingShingle booster chlorination
improved fuzzy chance-constrained optimization
water distribution system
Water supply for domestic and industrial purposes
TD201-500
River, lake, and water-supply engineering (General)
TC401-506
Yumin Wang
Guangcan Zhu
Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty
description To sustain water quality in a water distribution system (WDS), disinfectant generally chlorine is boosted to the WDS. However, the concentration of chlorine should be limited to acceptable levels. The upper boundary of the range is set for preventing the occurrence of a disinfectant by-product, which is harmful to human health. The lower boundary of the range is set for controlling the growth of microorganisms as well as reducing the injection mass. As such, an optimization model was applied to solve the water quality issue in a WDS. However, in a WDS, chlorine decays and varies with time and space, affected by pipe material, temperature, pH value, and chlorine injection, etc. Therefore, in this paper, an improved fuzzy chance-constrained optimization model was proposed to optimize chlorine injection and location to maintain chlorine in a WDS distributed uniformly. The proposed model was applied to two WDSs to analyze the effect of reliability level and preference parameters on chlorine injection and location. The results indicated that the injection mass increased with the increase in preference parameter. The results also indicated that more booster stations can lower the injection mass, and two booster stations were suitable for WDS in Case 2. The method proposed can be applied to decide how and where to inject chlorine in a WDS under uncertainty, and can help managers determine whether an optimistic or pessimistic attitude should be taken under various reliability levels. HIGHLIGHTS Fuzzy chance-constrained programming model proposed for chlorine injection determination.; mλ-measure method incorporated into fuzzy chance-constrained programming model with consideration of optimism and pessimism.; Effects of reliability level and preference parameter on injection mass are analyzed.; Help determine the location of booster stations.; Help managers determine what attitude should be taken.;
format article
author Yumin Wang
Guangcan Zhu
author_facet Yumin Wang
Guangcan Zhu
author_sort Yumin Wang
title Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty
title_short Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty
title_full Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty
title_fullStr Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty
title_full_unstemmed Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty
title_sort improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty
publisher IWA Publishing
publishDate 2021
url https://doaj.org/article/c5bd00173dd44b43aa79df577645ff23
work_keys_str_mv AT yuminwang improvedfuzzychanceconstrainedoptimizationofboosterstrategyforwaterdistributionsystemunderuncertainty
AT guangcanzhu improvedfuzzychanceconstrainedoptimizationofboosterstrategyforwaterdistributionsystemunderuncertainty
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