The interval copula-measure Me based multi-objective multi-stage stochastic chance-constrained programming for seasonal water resources allocation under uncertainty
A copula-measure Me based interval multi-objective multi-stage stochastic chance-constrained programming (CMIMOMSP) model is proposed for water consumption optimization. It can conduct water allocation amid multiple users and multiple stages, and deal with the uncertainties presented as interval num...
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| Vydané v: | Stochastic environmental research and risk assessment Ročník 35; číslo 7; s. 1463 - 1480 |
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| Médium: | Journal Article |
| Jazyk: | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.07.2021
Springer Nature B.V |
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| ISSN: | 1436-3240, 1436-3259 |
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| Abstract | A copula-measure Me based interval multi-objective multi-stage stochastic chance-constrained programming (CMIMOMSP) model is proposed for water consumption optimization. It can conduct water allocation amid multiple users and multiple stages, and deal with the uncertainties presented as interval numbers, random fuzzy interval numbers, and stochastic variables. It improves upon multi-stage stochastic chance-constrained programming by introducing the multi-objective programming, and it can tradeoff the relationships amid economic benefit, full usage of water resources, and economic loss. It enhances the accuracy of copula function and conditional distribution function through proposing the interval functions. Besides, it can deal with the impact of the decision attitudes of managers on water allocation by formulating the function equation between water demand and the optimistic-pessimistic factor. The CMIMOMSP model is applied to a case study of the Heihe River Basin to verify its application. The results indicate that: (1) the optimistic-pessimistic factors have different degrees of positive influences on water allocation for industrial, domestic and ecological sectors; (2) the joint violated probability and optimistic-pessimistic factor have various range of impacts on agricultural water allocation; (3) tthe objective function values have different variation tendencies with the rise of joint violated probabilities and optimistic-pessimistic factors. Its robustness is enhanced by comparing it with the three single-objective programming models. The CMIMOMSP model can provide various water allocation schemes for managers with different risk attitudes in semi-arid and arid districts. |
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| AbstractList | A copula-measure Me based interval multi-objective multi-stage stochastic chance-constrained programming (CMIMOMSP) model is proposed for water consumption optimization. It can conduct water allocation amid multiple users and multiple stages, and deal with the uncertainties presented as interval numbers, random fuzzy interval numbers, and stochastic variables. It improves upon multi-stage stochastic chance-constrained programming by introducing the multi-objective programming, and it can tradeoff the relationships amid economic benefit, full usage of water resources, and economic loss. It enhances the accuracy of copula function and conditional distribution function through proposing the interval functions. Besides, it can deal with the impact of the decision attitudes of managers on water allocation by formulating the function equation between water demand and the optimistic-pessimistic factor. The CMIMOMSP model is applied to a case study of the Heihe River Basin to verify its application. The results indicate that: (1) the optimistic-pessimistic factors have different degrees of positive influences on water allocation for industrial, domestic and ecological sectors; (2) the joint violated probability and optimistic-pessimistic factor have various range of impacts on agricultural water allocation; (3) tthe objective function values have different variation tendencies with the rise of joint violated probabilities and optimistic-pessimistic factors. Its robustness is enhanced by comparing it with the three single-objective programming models. The CMIMOMSP model can provide various water allocation schemes for managers with different risk attitudes in semi-arid and arid districts. |
| Author | Wang, Youzhi Guo, Ping |
| Author_xml | – sequence: 1 givenname: Youzhi surname: Wang fullname: Wang, Youzhi organization: Center for Agricultural Water Research in China, China Agricultural University – sequence: 2 givenname: Ping surname: Guo fullname: Guo, Ping email: guop@cau.edu.cn organization: Center for Agricultural Water Research in China, China Agricultural University, Wuwei ExperiMental Station for Efficient Water Use in Agriculture, Ministry of Agriculture and Rural Affairs |
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| CitedBy_id | crossref_primary_10_1080_01605682_2022_2150577 crossref_primary_10_1061_JWRMD5_WRENG_6608 crossref_primary_10_1016_j_jenvman_2022_115318 crossref_primary_10_1016_j_agwat_2023_108648 crossref_primary_10_1007_s10668_023_03353_3 crossref_primary_10_1007_s11269_022_03206_0 |
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| Keywords | Multi-stage stochastic programming Interval copula function Uncertainty Multi-objective programming Measure Me Interval conditional distribution |
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| SubjectTerms | Agriculture Aquatic Pollution Aridity Attitudes Chemistry and Earth Sciences Computational Intelligence Computer Science Distribution functions Earth and Environmental Science Earth Sciences Ecological effects Economic impact Economics Environment Environmental research Math. Appl. in Environmental Science Mathematical programming Multiple objective analysis Objective function Optimization Original Paper Pessimism Physics Probability Probability Theory and Stochastic Processes Resource allocation Risk assessment River basins Runoff Statistics for Engineering Uncertainty Variables Waste Water Technology Water allocation Water consumption Water demand Water Management Water Pollution Control Water resources Water shortages |
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| Title | The interval copula-measure Me based multi-objective multi-stage stochastic chance-constrained programming for seasonal water resources allocation under uncertainty |
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