Bilevel Optimization of Regional Water Resources Allocation Problem under Fuzzy Random Environment

Xu, Jiuping; Tu, Yan

doi:10.1061/(asce)wr.1943-5452.0000248

Cited by 88 publications

(43 citation statements)

References 66 publications

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“…To show the practicality of the waste load equilibrium allocation (WLEA) for the regional economic development presented in this paper, we implemented the AT-based IGA algorithm to solve the problem previously described (Chamnanlor et al 2014;Neungmatcha et al 2013;Xu et al 2012) and to compare the results with actual data collected from the Tuojiang river basin and the weight of the objectives for the management committee. The deviation in regional industrial structure and the comprehensive waste-load Gini coefficient are respectively considered to be 0.5 and 0.5 Arora 2010, 2004).…”

Section: Results and Analysismentioning

confidence: 99%

Waste load equilibrium allocation: a soft path for coping with deteriorating water systems

Yao

Zhang

et al. 2016

Environ Sci Pollut Res

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Waste load allocation is always regarded as another efficient approach comparing with the technology-based approach to improve the water quality. This paper proposes a bi-level multi-objective optimization model for optimally allocating the waste load of a river basin incorporating some concerns (i) the allocation equity from the regional authority, (ii) maximal benefits from the subareas along the river, and (iii) the Stackelberg-Nash-Cournot equilibrium strategy between the upper and lower decision makers. Especially, a novel Gini coefficient for measuring the load allocation equity is defined by considering the economic level and waste water quantity. The applicability and effectiveness of the proposed model is demonstrated through a practical case based on the Tuojiang River, which is a typical basin with diversified industrial waste discharges in western China. Some operational suggestions are developed to assist the decision makers' cope with deteriorating water systems.

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Section: Results and Analysismentioning

confidence: 99%

Waste load equilibrium allocation: a soft path for coping with deteriorating water systems

Yao

Zhang

et al. 2016

Environ Sci Pollut Res

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“…In much of the current research, random events have usually been expressed as stochastic distributions, which start by assuming that the objective uncertainty has a probabilistic distribution [40]. Thus, the minimum value for all L q and the maximum value for all R q are selected as the left border (i.e., L c ) and right border (i.e., R c ) of fuzzy random variables, and the most possible value M q can be characterized using a stochastic distribution [41]. By observing the M q from the different experts, M q can be seen to be a random variable (i.e., q x ) which approximately follows a normal distribution (i.e., q x $ Nðl; d 2 Þ) based on the maximum likelihood method and a chi-square goodness-of-fit test [41].…”

Section: Uncertain Decision-making Environment Analysis For Cpp Site mentioning

confidence: 99%

GIS-modelling based coal-fired power plant site identification and selection

Song

Wu³

et al. 2015

Applied Energy

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“…Bilevel programming (BLP) with a structure of two levels can be introduced to solve this type of problem in scientific and engineering fields (Bacaken and Mcgill 1973;He et al 2011;Xu et al 2013;Feijoo and Das 2015;Momber et al 2016;Pousinho et al 2016). Although a limited number of BLP studies have been conducted for solving water resources allocations, they failed to consider health risk as a significant objective into the optimization groundwater remediation framework.…”

Section: Introductionmentioning

confidence: 99%

A bilevel groundwater management model with minimization of stochastic health risks at the leader level and remediation cost at the follower level

Chen

et al. 2016

Stoch Environ Res Risk Assess

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Traditional single-objective programs cannot deal with the tradeoffs between the decision makers who represent different perspectives and have inconsistent decision goals. Multi-objective ones can hardly represent a complex dominant-subordinate relationship between the leader and the follower. This study presents a new bilevel programming model with considering leader-follower-related health-risk and economic goals for optimal groundwater remediation management. The bilevel model is formulated by integrating health-risk assessment and environmental standards (the leader or the environmental concern) and remediation cost (the follower or the economic concern) into a general framework. In addition, stochastic uncertainty in health risk assessment is considered into the decision-making process. The developed bilevel model is then applied to a petroleum-contaminated aquifer in Canada. Results indicate that the performance of bilevel programming can not only meet the low remediation cost as the expectation from the follower but also simultaneously conform to the low contamination level as the expectation from the leader. Furthermore, comparative analyses show that the bilevel model with two-level concerns has the advantage of maximizing the interests and satisfaction degrees of decision makers, which can avoid the extreme results generated from the single-level models.

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Bilevel Optimization of Regional Water Resources Allocation Problem under Fuzzy Random Environment

Cited by 88 publications

References 66 publications

Waste load equilibrium allocation: a soft path for coping with deteriorating water systems

Waste load equilibrium allocation: a soft path for coping with deteriorating water systems

GIS-modelling based coal-fired power plant site identification and selection

A bilevel groundwater management model with minimization of stochastic health risks at the leader level and remediation cost at the follower level

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