改進(jìn)的區(qū)間雙邊機(jī)會(huì)約束規(guī)劃方法研究及其在水質(zhì)管理中的應(yīng)用
本文關(guān)鍵詞: 區(qū)間左手邊機(jī)會(huì)約束規(guī)劃 區(qū)間雙邊機(jī)會(huì)約束規(guī)劃 區(qū)間模糊左手邊機(jī)會(huì)約束規(guī)劃 區(qū)間模糊雙邊機(jī)會(huì)約束規(guī)劃 水質(zhì)管理 不確定性 出處:《華北電力大學(xué)(北京)》2016年博士論文 論文類型:學(xué)位論文
【摘要】:水是保障人類生存和發(fā)展的重要物質(zhì)基礎(chǔ)。社會(huì)、經(jīng)濟(jì)的飛速發(fā)展對水資源的需求不斷增大,致使水資源短缺以及生態(tài)破壞和環(huán)境污染帶來的水質(zhì)下降問題日益凸顯,引發(fā)了居民飲用水安全問題,嚴(yán)重威脅了人類的健康和正常生活。水質(zhì)規(guī)劃管理作為水資源保護(hù)的有效途徑,對于解決當(dāng)前日趨嚴(yán)峻的水資源問題具有十分重要的作用。然而,水質(zhì)管理系統(tǒng)十分復(fù)雜,各子系統(tǒng)內(nèi)部涵蓋著眾多的不確定性因素,并且各因素間存在著復(fù)雜的互動(dòng)關(guān)系,引發(fā)了系統(tǒng)的不穩(wěn)定性,不穩(wěn)定因素在對環(huán)境造成不良影響的同時(shí),也帶來了系統(tǒng)經(jīng)濟(jì)效益的損失。因此,在充分、綜合考慮水質(zhì)管理系統(tǒng)中各種不確定性的基礎(chǔ)上,開發(fā)能夠切實(shí)合理反映系統(tǒng)內(nèi)部各種不確定性因素的綜合型優(yōu)化方法,并應(yīng)用于水質(zhì)管理不確定性優(yōu)化研究中,能夠在滿足環(huán)境保護(hù)要求的同時(shí)實(shí)現(xiàn)系統(tǒng)經(jīng)濟(jì)效益的最大化,具有重要的實(shí)際應(yīng)用價(jià)值和理論推動(dòng)意義。本文針對水質(zhì)管理系統(tǒng)中多種不確定性和復(fù)雜性,將傳統(tǒng)機(jī)會(huì)約束規(guī)劃進(jìn)行了改進(jìn),并與區(qū)間、模糊等優(yōu)化方法進(jìn)行耦合,構(gòu)建了改進(jìn)的區(qū)間機(jī)會(huì)約束規(guī)劃模型體系,并以典型的水質(zhì)管理系統(tǒng)為例驗(yàn)證了規(guī)劃模型體系的科學(xué)性和可行性。首先,根據(jù)水質(zhì)管理規(guī)劃模型中決策變量左手邊出現(xiàn)隨機(jī)參數(shù)的具體情況,以區(qū)間機(jī)會(huì)約束規(guī)劃為切入點(diǎn),將其改進(jìn)為區(qū)間左手邊機(jī)會(huì)約束規(guī)劃,有效地表征和處理了決策變量左手邊隨機(jī)變量,突破了傳統(tǒng)機(jī)會(huì)約束規(guī)劃僅能處理決策變量右手邊隨機(jī)參數(shù)的局限性。進(jìn)而,考慮到同類隨機(jī)參數(shù)出現(xiàn)在決策變量雙邊的情況,將機(jī)會(huì)約束與區(qū)間左手邊機(jī)會(huì)約束相融合,開發(fā)了區(qū)間雙邊機(jī)會(huì)約束規(guī)劃模型,用于同時(shí)處理決策變量左、右手邊隨機(jī)參數(shù),進(jìn)一步深化了傳統(tǒng)機(jī)會(huì)約束理論,拓展了方法的應(yīng)用范圍。由于水質(zhì)管理方案的制定受決策者主觀影響作用明顯,引入模糊彈性規(guī)劃用以反映客觀規(guī)劃方法中的主觀傾向性,以模糊彈性規(guī)劃為基礎(chǔ)框架,分別耦合區(qū)間左手邊機(jī)會(huì)約束規(guī)劃方法和區(qū)間雙邊機(jī)會(huì)約束規(guī)劃方法,開發(fā)了區(qū)間模糊左手邊機(jī)會(huì)約束規(guī)劃方法和區(qū)間模糊雙邊機(jī)會(huì)約束規(guī)劃方法,能夠同時(shí)處理目標(biāo)函數(shù)和約束的模糊彈性、決策變量左手邊/雙邊隨機(jī)參數(shù)及以區(qū)間形式表達(dá)的各種不確定性,是區(qū)間、模糊和隨機(jī)三大優(yōu)化方法有機(jī)融合,進(jìn)一步拓展了優(yōu)化方法處理不確定性信息的能力。將以上優(yōu)化方法分別應(yīng)用于農(nóng)業(yè)非點(diǎn)源水質(zhì)管理研究案例中,更加切實(shí)有效地反映了系統(tǒng)的不確定性,擴(kuò)寬了已有方法的應(yīng)用范圍。整體上,本文構(gòu)建了一個(gè)改進(jìn)的區(qū)間機(jī)會(huì)約束規(guī)劃方法體系,所開發(fā)的新型優(yōu)化方法對原有不確定性優(yōu)化技術(shù)做出了改進(jìn)與拓展,通過方法間的有機(jī)融合相互彌補(bǔ)了各自的不足,充分發(fā)揮了各種不確定性優(yōu)化方法的優(yōu)勢,對方法的研究深度不斷加強(qiáng),方法體系具有較強(qiáng)的整體性和邏輯性。構(gòu)建的綜合不確定性優(yōu)化方法能夠切實(shí)有效地處理水質(zhì)管理系統(tǒng)中不同種類和特點(diǎn)的不確定性影響因素,通過具體案例的應(yīng)用可以表明,所開發(fā)的新型不確定性優(yōu)化方法能夠處理的不確定性問題的范圍越來越廣泛,可以有效地處理水質(zhì)管理系統(tǒng)中的多種不確定性規(guī)劃問題;通過對開發(fā)的優(yōu)化方法之間所獲得的資源分配優(yōu)化方案進(jìn)行對比,分析了不同優(yōu)化方法之間的差異及其存在的內(nèi)部原因,深入探討了農(nóng)業(yè)水質(zhì)管理系統(tǒng)內(nèi)部因素之間的互動(dòng)關(guān)系,深化了對相關(guān)不確定性優(yōu)化方法和農(nóng)業(yè)水質(zhì)管理系統(tǒng)的研究,可以為未來優(yōu)化方法的改進(jìn)以及在更多領(lǐng)域的應(yīng)用奠定深厚的理論依據(jù)和應(yīng)用基礎(chǔ)。
[Abstract]:Water is an important material foundation for the protection of human survival and development. The rapid development of economic society, the demand for water resources is increasing, resulting in decreased water shortage of water resources and ecological destruction and environmental pollution have become increasingly prominent, causing the safety of drinking water problems, a serious threat to human health and normal life quality planning. Management is an effective way to protect water resources, is very important to solve the problem of water resources with the increasingly serious role. However, the water quality management system is very complicated, various subsystems covering many uncertain factors, and the factors are complicated interaction, causing instability of the system, not the stability factor in the adverse impact on the environment at the same time, the system also brings the loss of economic benefits. Therefore, in full consideration of various water quality management system Based on uncertainty, the development of integrated system can effectively reflect the internal uncertainty optimization method, and applied to the quality management of uncertainty optimization study, can satisfy the requirement of environmental protection and maximize the economic benefits of the system, has important significance to promote the theoretical and practical value. Based on the water quality management system in a variety of uncertainty and complexity, the traditional chance constrained programming is improved, and the interval fuzzy optimization method coupling, constructs a model system of constraint programming interval opportunities to improve the quality management system, and to the case to verify the science and feasibility planning model system. Firstly, according to the specific situation of random parameters decision variables left model used in water quality management, with the interval of chance constrained programming as the breakthrough point, will improve The left hand side is the interval chance constrained programming, efficient representation and processing of decision variables left random variables, breaking the traditional limitations of chance constrained programming can only handle the right decision variables of stochastic parameters. Then, considering the similar random parameters appear in the edge of the two decision variables, combining with chance constrained interval left the edge of the chance constrained programming model, the opportunity to develop bilateral interval, for both left hand side variables, random parameters, to further deepen the traditional chance constrained theory, expand the scope of application of the method. Due to the water quality management plan by the decision-maker's subjective influence, fuzzy flexible planning with subjective tendency to reflect objective planning method, based on fuzzy flexible planning based framework, respectively, the left hand side coupling interval chance constrained programming method and interval double edge about opportunity Beam planning method is developed, the left hand side of the interval fuzzy chance constrained programming method and bilateral interval fuzzy chance constrained programming method, the fuzzy flexibility is able to handle both the objective function and constraints, the decision variables left / bilateral random parameters and various expression in the form of interval uncertainty, fuzzy and random interval, three optimization methods of organic integration and further expand the ability of optimization method to deal with uncertain information. These optimization methods are applied to the case of agricultural non-point source water quality management research, more effectively reflect the uncertainty of the system, extends the use of existing methods. On the whole, this paper constructs an improved interval chance constrained programming method system, model optimization method developed by the improvement and extension of the original uncertain optimization technology, through the method of combining interaction between Make up their own shortcomings, give full play to the advantages of various uncertain optimization methods, research methods of depth unceasingly, method system has strong logical and integrity. The combined uncertainty optimization method can effectively deal with factors affecting the water quality management system of different types and characteristics of the uncertainty, by the application of specific cases that can deal with uncertainty problems and by the development of the new uncertainty optimization method is widely used, can effectively deal with a variety of quality management system of the uncertainty in the planning problem; comparing the resource allocation optimization scheme is obtained through the optimization method of the development between the analysis of the internal reasons for the differences between different optimization methods and problems of in-depth study of the interaction between the internal factors of agricultural water quality management system, The research on related uncertainty optimization and agricultural water quality management system is deepened, which can lay a solid theoretical basis and application foundation for the improvement of future optimization methods and application in more fields.
【學(xué)位授予單位】:華北電力大學(xué)(北京)
【學(xué)位級別】:博士
【學(xué)位授予年份】:2016
【分類號】:S27;X52
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