The Application Of Interval Multi-objective Programming In Regional Water Resources Optimal Allocation

Water resources are the basic natural resources in industrial production and people's life. With the development of society, the inconsistency of water supply and requirement is becoming more and more obtrusive. How to exploit and utilize water resources reasonably and allocate them scientifically on the basis of the existing circumstance of water resources has become an emergent problem which should be solved.As uncertainty is an inherent part of managing resources in general and an essential part of water management, guidance on how to deal with that is becoming increasingly important. Stochastic programming and fuzzy programming are two types of traditional uncertain optimization methodologies, in which a great amount of sampling information on the uncertainty is required to construct the precise probability distributions or fuzzy membership functions. Unfortunately, it often seems very difficult to obtain sufficient uncertainty information, and hence these two types of methods will encounter some limitations in applicability. The interval number optimization is a relatively newly-developed uncertain optimization method, in which interval is used to model the uncertainty of a variable. Thus the variation bounds of the uncertain variables are only required, which can be obtained through only a small amount of uncertainty information.This paper adopts interval multi-objective programming model to study the problem of water resources optimal allocation. The regional water resources interval multi-objective linear programming (IMOLP) model and the regional water resources interval multi-objective nonlinear programming (IMONLP) model are established. Then the solving method is introduced. The main contents of this paper are listed as follows.(1) The regional water resources IMOLP model, in which the uncertainty information is present as interval number, is established. Then this paper introduces four kind of method to solve it. At last, this paper illustrates the validity of the model by making use of the practical water resources data of the Dongying City.(2) Based on the regional water resources IMOLP model, this paper establishes the regional water resources IMONLP model. Using a possibility degree method, the uncertain model is converted into a two-layer nesting optimization problem. Then, the adaptive differential evolution algorithm is applied to solve the model. Similarly, this paper takes Dongying City's water resources optimal allocation as an example to illustrate the validity of the model.(3) For ordering some different water resources programming strategies, this paper introduces a possibility degree formula. A new method based on this possibility degree formula is given to get the priorities of alternatives.