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a survey of mathematical optimization models and algorithms for designing and extending irrigation and wastewater networks

机译:用于设计和扩展灌溉和污水管网的数学优化模型和算法的调查

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摘要

abstract: this paper presents a state-of-the-art survey of network models and algorithms that can be used as a planning tool in irrigation and wastewater systems. it is shown that the problem of designing or extending such systems basically leads tothe same type of mathematical optimization model. the difficulty in solving this model lies mainly in the properties of the objective function. trying to minimize construction and/or operating costs of a system typically results in a concave cost (objective) function, due to economies of scale. a number of ways to attack such models are discussed and compared, including linear programming, integer programming and specially designed exact and heuristic algorithms. the usefulness of each approachis evaluated in terms of the validity of the model, the computational complexity of the algorithm, the properties of the solution, the availability of software and the capability for sensitivity analysis.;
机译:摘要:本文介绍了可用于灌溉和废水系统的规划工具的网络模型和算法的最新调查。结果表明,设计或扩展此类系统的问题基本上导致了相同类型的数学优化模型。解决该模型的困难主要在于目标函数的属性。由于规模经济,试图最小化系统的构造和/或运行成本通常会导致成本(目标)功能降低。讨论并比较了攻击此类模型的多种方法,包括线性编程,整数编程以及经过特殊设计的精确和启发式算法。根据模型的有效性,算法的计算复杂性,解决方案的属性,软件的可用性以及敏感性分析的能力,评估每种方法的有效性。

著录项

  • 作者

    Mandl Christoph;

  • 作者单位
  • 年度 1980
  • 总页数
  • 原文格式 PDF
  • 正文语种 en
  • 中图分类

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