Arid
DOI10.1007/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
ISSN1436-3240
EISSN1436-3259
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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