Knowledge Resource Center for Ecological Environment in Arid Area
DOI | 10.1007/s00477-018-1527-z |
A unique value function for an optimal control problem of irrigation water intake from a reservoir harvesting flash floods | |
Unami, Koichi1; Mohawesh, Osama2 | |
通讯作者 | Unami, Koichi |
来源期刊 | STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
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ISSN | 1436-3240 |
EISSN | 1436-3259 |
出版年 | 2018 |
卷号 | 32期号:11页码:3169-3182 |
英文摘要 | Operation of reservoirs is a fundamental issue in water resource management. We herein investigate well-posedness of an optimal control problem for irrigation water intake from a reservoir in an irrigation scheme, the water dynamics of which is modeled with stochastic differential equations. A prototype irrigation scheme is being developed in an arid region to harvest flash floods as a source of water. The Hamilton-Jacobi-Bellman (HJB) equation governing the value function is analyzed in the framework of viscosity solutions. The uniqueness of the value function, which is a viscosity solution to the HJB equation, is demonstrated with a mathematical proof of a comparison theorem. It is also shown that there exists such a viscosity solution. Then, an approximate value function is obtained as a numerical solution to the HJB equation. The optimal control strategy derived from the approximate value function is summarized in terms of rule curves to be presented to the operator of the irrigation scheme. |
英文关键词 | Optimal control problem Value function Hamilton-Jacobi-Bellman equation Viscosity solution Irrigation scheme Reservoir operation |
类型 | Article |
语种 | 英语 |
国家 | Japan ; Jordan |
收录类别 | SCI-E |
WOS记录号 | WOS:000447873600011 |
WOS关键词 | HAMILTON-JACOBI EQUATIONS ; PARTIAL-DIFFERENTIAL-EQUATIONS ; VISCOSITY SOLUTIONS ; ENERGY-SYSTEMS ; CLIMATE ; MODEL ; RISK ; OPTIMIZATION ; SIMULATION ; RESOURCES |
WOS类目 | Engineering, Environmental ; Engineering, Civil ; Environmental Sciences ; Statistics & Probability ; Water Resources |
WOS研究方向 | Engineering ; Environmental Sciences & Ecology ; Mathematics ; Water Resources |
资源类型 | 期刊论文 |
条目标识符 | http://119.78.100.177/qdio/handle/2XILL650/213302 |
作者单位 | 1.Kyoto Univ, Grad Sch Agr, Kyoto 6068502, Japan; 2.Mutah Univ, Fac Agr, Al Karak 61710, Jordan |
推荐引用方式 GB/T 7714 | Unami, Koichi,Mohawesh, Osama. A unique value function for an optimal control problem of irrigation water intake from a reservoir harvesting flash floods[J],2018,32(11):3169-3182. |
APA | Unami, Koichi,&Mohawesh, Osama.(2018).A unique value function for an optimal control problem of irrigation water intake from a reservoir harvesting flash floods.STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT,32(11),3169-3182. |
MLA | Unami, Koichi,et al."A unique value function for an optimal control problem of irrigation water intake from a reservoir harvesting flash floods".STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT 32.11(2018):3169-3182. |
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