Research On Improvement Of Interval Double-hand-side Chance-constrained Programming And The Application In Water Quality Management

Water is an important material foundation for the development of human society. As the rapid development of society and economy, the demand of water resources shows an obvious uptrend, and water quality decline is becoming more and more apparent resulted from environmental pollution and ecological damage. Degradation of water quality alsocauses drinking water problems, even threatens human health and orthobiosis. Water quality management plays a very important role in solving water problem in China as an effective approach forwater resources protection. However, water quality management is a complex system, which includs several subsystems and many factors. Many of them have characteristic of uncertainty, and the interaction between them are uncertain too, which leads to unstablility of the system. Therefore, to propose anintegrated optimization programming method, which reflexes the uncertainties in water quality management system is neccessary, and the application of the optimization programming method into the research of water quality management within uncertainty, can maximize the net benefit of the system under the environmental protection requirement, and has the significant value on theoretic importance andpractical application.To deal with the complexty and uncertaintiy of then water management system, this paperestablishes a revised interval chance-constrained programming method system,which improves the traditional chance-constrained programming into interval left-hand-side chance-constrained programming and interval double-hand-side chance-constrained programming, and integrates the revised methods with interval linear programming and fuzzy linear programming, and then applies the new improved method system into the agricultural water quality management system to verify the scientificity and feasibility. A left-hand-side chance-congstrained programming method is proposed, in consideration of the random parameter appear on the left-hand-side of the decision valuables,on the based of traditional chance-congstrained programming.The left-hand-side chance-congstrained programming can overcome the limitation in handling the random parameters on the right-hand-side of the dicision valuables. And then, an inexact double-hand-side chance-constrained programming method is developed by integrading the left-hand-side chance-congstrained programming and the chance-constrained programming, which can express and transform the random parameters appear on both side of the decision valuables.Taking subjective effect from the decision makers into concideration, the interval fuzzy left-hand-side chance-congstrained programming and the interval fuzzy double-hand-side chance-congstrained programming are developed, taking fuzzy linear programming as the mian framework, which can reflect subjective intention in the objective programming method, on the basis of the left-hand-side chance-congstrained programming and the double-hand-side chance-congstrained programming. The two new programming methods realize the integration of interval linear programming, chance-congstrained programming and fuzzy linear programming. The new methods have the ability to deal with the fuzzy flexibility of the objective function and the constraints, the random parameters on the left-hand-side/double-hand-side of the decision valuables and the information expressed as interval numbers, which further expands the capability on handling the uncertainties in the water quality management system. Eventually, applications of the above optimization methods into the agriclcutral water quality management within non-point source pollution has carry out, which verify thatthe revised programming methods have the capacity to express the complexity and uncertainty of the system and significantly expand the application range of the traditional methods.Overall, the paper establishes a revised interval chance-constrained programming method system, which is an improvement and expansion of the traditional uncertainty programming methods.The new programming methods proposed by this thesis realize the integration of the three clasiccal optimization method, which are interval linear programming, fuzzy linear programming and stochastic linear programming, and can make full use of the advantages the three. The programming method system developed in this paper has strong logicality and integrity, and has enhanced the depth of the traditional optimization method.Further, the comprehensive optimization methods have been applied into the agricultural water quality management system and obtain favorable effects, which demonstrate the increasingly wide and effective utilization of the new methods in the practical problems. The internal cause of differences between the optimization methods has been analyzed,and the interactionsof the influence factors of agricultural water quality system have been discussed. The research put forward in this paper has deepen the relevant optimization methods and the agricultural water quality management study, and can provide strong theoretical foundation and application foundation for further studies in more environmental fields and development of programming methods.