Mathematical Models for Managing Water Resources in the Inland River Basin of Arid Regions

Rational development and utilization of water resources is a problem dealing with many factors and multi\|purposes. Based on the construction of the sustainable development and the hypothesis of that the inland river basin can be divided into a certain number of typical regions, mathematical models for managing the water resources of inland rivers in arid regions are established. In this paper, first, the pursuing objectives are analyzed under the frame of sustainable utilization of water resources, and then the pursuing objectives are quantitatively expressed under the frame and the hypothesis of that the inland river basin can be divided into a certain number of typical regions. Then a multi\|objective model for sustainable utilization of water resources is established based on the analysis of support and restriction conditions. Since the specific distribution of water resources, the approach of three\|phase compromise of decision\|maker fuzzy satisfactory problem is proposed, and a fuzzy satisfactory function is put forward and solved. The solution is as follows: A previous compromise is made among the decision-makers of special areas. Then a final compromise is made among the decision-makers of the special areas (as a unit) and of the whole basin.