Optimal Allocation of Water Resources Based on Steinberg-Nash-Cournot Equilibrium

Abstract

The invention relates to the field of water resources distribution, and discloses a method based on Steinberg-Nash-Cournot equilibrium method of optimal allocation of water resources to solve the conflict of interest and multi-level management structure of the irrigation district. The invention firstly establishes a Steinberg-type water right exchange system based on the water right exchange method, and the Steinberg-type water right exchange system comprises: Nash-Cournot equilibrium model; then the optimal solution and the worst solution of the objective function of the upper and lower models of the equilibrium model are calculated. Then the membership function of the upper and lower objective functions is constructed based on the fuzzy objective programming method and the maximum and minimum values of the upper and lower objective functions. Then input the minimum degree of satisfaction of the upper and lower decision-makers; finally, by using the dynamic interaction mechanism, heuristic algorithm, the minimum satisfaction degree of the upper and lower decision makers and the membership function of the upper and lower objective functions, the solution satisfying the satisfactiondegree of the upper and lower decision makers is obtained. The invention is applicable to the distribution of agricultural irrigation water resources.

Description

technical field [0001] The invention relates to the field of water resource allocation, in particular to a water resource optimal allocation method based on Steinberg-Nash-Cournot equilibrium. Background technique [0002] Two-level decision-making optimization method is a kind of optimization method for problems with two-level hierarchical structure. Its main research has two levels of system planning and management problems. It is divided into upper layer and lower layer, and the upper and lower layers have their own decision variables, constraints and objective functions. This method is different from other optimization methods in one main aspect: a planning and decision-making process involves not only one decision maker, but two layers of decision makers. The upper layer decision makers only guide the lower layer decision makers through their own decisions, not Directly intervene in the decision-making of the lower layer; while the decision-making of the lower layer t...

AI Technical Summary

Problems solved by technology

However, the agricultural irrigation system in the irrigation area still has the following problems: it does not take into account the interests of the stakeholders in the irrigation area and the conflicts of the multi-layer management structure, and ignores the game process of multiple decision makers (decision order)

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