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Inexact mathematical programming methods for water resources management.

机译:水资源管理的不精确数学规划方法。

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摘要

Water resource shortages and water supply instability are considered major barriers to sustainable water resources management. One major factor contributing to the formation of such barriers is the lack of efficient decision-making approaches to facilitate decision makers in developing sustainable water resources management policies. Though a number of mathematical programming methods have been used to overcome the above mentioned barriers, significant effort is required to develop robust programming approaches in order to deal with increasingly complicated real-world problems.;The major contributions of this research are as follows: (1) The proposed SIFLP, STFLP and IVFLP methods are able to fill the missing information gaps when solving conventional fuzzy possibilistic programming problems, such that solutions with enhanced reliability can be obtained. (2) The proposed IRFLP and RTSP are able to deal with problems where conventional intervals are ineffective in reflecting the complexity of parameters, or where specific demands of dual-layer solutions are desired by decision makers. (3) The proposed ITSP and IMSP methods can facilitate decision makers in making a rapid and sequential response to upcoming severe flooding disasters by efficiently operating multiple control measures in a quantified manner, particularly in large-scale floodplain management systems, as well as long-term planning problems. (4) The proposed IFSP can address flexible economic measures in accordance with water-availability conditions, thus being capable of solving problems with randomly-varied water quantity inputs. (5) The proposed simulation-based rough-interval programming approach incorporates both land-use management and water-resources management in a general modeling framework to support comprehensive decision making under complex individual- and/or dual-uncertainty.;In this dissertation research, a set of inexact mathematical programming methods are developed and applied to water resources management. They include four inexact fuzzy programming methods (i.e. SIA-based inexact fuzzy linear programming, SIFLP; SIA-based two-stage fuzzy linear programming, STFLP; inexact interval-valued fuzzy linear programming, IVFLP; rough-interval fuzzy linear programming, IRFLP) and four stochastic programming methods (i.e. inexact two-stage stochastic programming, ITSP; inexact fuzzy-stochastic programming, IFSP; rough-interval two-stage stochastic programming, RTSP; inexact multi-stage stochastic programming, IMSP). In addition to the aforementioned efforts, a simulation-based rough-interval programming approach is developed for integrated agricultural land-use and irrigation management in China's rural regions. The approach is beneficial to decision making under various uncertainties and complexities.
机译:水资源短缺和供水不稳定被认为是可持续水资源管理的主要障碍。造成这种障碍的一个主要因素是缺乏有效的决策方法来促进决策者制定可持续的水资源管理政策。尽管已使用多种数学编程方法克服了上述障碍,但仍需要大量精力来开发健壮的编程方法,以应对日益复杂的现实世界中的问题。;本研究的主要贡献如下:( 1)提出的SIFLP,STFLP和IVFLP方法能够解决传统的模糊可能性编程问题,从而弥补信息缺口,从而获得可靠性更高的解决方案。 (2)提出的IRFLP和RTSP能够处理常规间隔无法有效反映参数复杂性的问题,或者决策者需要双层解决方案的特定要求的问题。 (3)拟议中的ITSP和IMSP方法可以有效地以量化方式有效地实施多种控制措施,尤其是在大型洪泛区管理系统中,可以帮助决策者对即将来临的严重洪灾作出快速而连续的响应,特别是在大型洪泛区管理系统中。学期计划问题。 (4)拟议的IFSP可以根据可用水条件解决灵活的经济措施,从而能够解决水量输入随机变化的问题。 (5)提出的基于模拟的粗糙区间规划方法将土地利用管理和水资源管理结合在一个通用的建模框架中,以支持复杂的个体不确定性和/或双重不确定性下的综合决策。 ,开发了一套不精确的数学程序设计方法并将其应用于水资源管理。它们包括四种不精确的模糊规划方法(即,基于SIA的不精确模糊线性规划,SIFLP;基于SIA的两阶段模糊线性规划,STFLP;不精确的间隔值模糊线性规划,IVFLP;粗间隔模糊线性规划,IRFLP)以及四种随机规划方法(即不精确的两阶段随机规划ITSP;不精确的模糊随机规划IFSP;粗糙间隔两阶段随机规划RTSP;不精确的多阶段随机规划IMSP)。除上述工作外,还开发了一种基于模拟的粗间隔编程方法,用于中国农村地区的农业土地综合利用和灌溉管理。该方法有助于在各种不确定性和复杂性下进行决策。

著录项

  • 作者

    Lu, Hongwei.;

  • 作者单位

    The University of Regina (Canada).;

  • 授予单位 The University of Regina (Canada).;
  • 学科 Water Resource Management.;Engineering System Science.;Engineering Environmental.
  • 学位 Ph.D.
  • 年度 2010
  • 页码 381 p.
  • 总页数 381
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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