Abstract
In this study, an inexact inventory theory-based water resources distribution (IIWRD) method is advanced and applied for solving the problem of water resources distribution from Yuecheng Reservoir to agricultural activities, in the Zhanghe River Basin, China. In the IIWRD model, the techniques of inventory model, inexact two-stage stochastic programming, and interval-fuzzy mathematics programming are integrated. The water diversion problem of Yuecheng Reservoir is handled under multiple uncertainties. Decision alternatives for water resources allocation under different inflow levels with a maximized system benefit and satisfaction degree are provided for water resources management in Yuecheng Reservoir. The results show that the IIWRD model can afford an effective scheme for solving water distribution problems and facilitate specific water diversion of a reservoir for managers under multiple uncertainties and a series of policy scenarios.
Highlights
Mathematical Problems in Engineering the model has a wide interval solution, the manager would feel difficult to make decision by inexact two-stage stochastic programming (ITSP)
Erefore, the objective of this study is to develop an inexact inventory theory-based water resources distribution (IIWRD) method through incorporating inventory theory, ITSP, and interval-fuzzy mathematics programming (IFMP) within a general framework. e IIWRD method will be helpful for quantitatively analyzing a series of policy scenarios under multiple uncertainties; more importantly, it can afford the specific scheme for water diversion associated with different policy scenarios, including the total water diversion, diversion batch, and period per time. en, IIWRD is applied to planning water resources distribution of Yuecheng Reservoir that is located in Zhanghe River Basin, China. e results will help to identify desired schemes of water diversion and water allocation under different inflow levels with maximized system benefit and satisfaction degree
The models of ITSP, IFMP, and economic order quantity (EOQ) will be incorporated in this study, which leads to an inexact inventory theory-based water resources distribution (IIWRD) method. erefore, the IIWRD model can tackle multiple uncertainties within an optimization programming framework by expressing uncertain parameters as discrete intervals, membership functions, probabilistic distributions, and their combinations
Summary
Before constructing the inexact inventory theory-based water resources distribution (IIWRD) model for Yuecheng Reservoir, methods of inexact two-stage stochastic programming (ITSP), interval-fuzzy mathematics programming (IFMP), and inventory theory need to be introduced. The models of ITSP, IFMP, and EOQ will be incorporated in this study, which leads to an inexact inventory theory-based water resources distribution (IIWRD) method. Erefore, the IIWRD model can tackle multiple uncertainties within an optimization programming framework by expressing uncertain parameters as discrete intervals, membership functions, probabilistic distributions, and their combinations It can provide corrective measures for the expected objectives against different random events happened. NB±ij: the net irrigation benefit for crop j in subarea i per unit of surface water allocated (103 RMB/ha). PC±ij: the reduction of net benefit for crop j in subarea i when per unit of surface water not delivered (103 RMB/ ha).
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