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FSILP: Fuzzy-stochastic-interval linear programming for supporting municipal solid waste management

机译:FSILP:用于支持城市固体废物管理的模糊随机间隔线性规划

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摘要

Although many studies on municipal solid waste management (MSW management) were conducted under uncertain conditions of fuzzy, stochastic, and interval coexistence, the solution to the conventional linear programming problems of integrating fuzzy method with the other two was inefficient. In this study, a fuzzy-stochastic-interval linear programming (FSILP) method is developed by integrating Nguyen's method with conventional linear programming for supporting municipal solid waste management. The Nguyen's method was used to convert the fuzzy and fuzzy-stochastic linear programming problems into the conventional linear programs, by measuring the attainment values of fuzzy numbers and/or fuzzy random variables, as well as superiority and inferiority between triangular fuzzy numbers/triangular fuzzy-stochastic variables. The developed method can effectively tackle uncertainties described in terms of probability density functions, fuzzy membership functions, and discrete intervals. Moreover, the method can also improve upon the conventional interval fuzzy programming and two-stage stochastic programming approaches, with advantageous capabilities that are easily achieved with fewer constraints and significantly reduces consumption time. The developed model was applied to a case study of municipal solid waste management system in a city. The results indicated that reasonable solutions had been generated. The solution can help quantify the relationship between the change of system cost and the uncertainties, which could support further analysis of tradeoffs between the waste management cost and the system failure risk.
机译:尽管在不确定的模糊,随机和区间并存条件下进行了许多关于城市固体废物管理(MSW管理)的研究,但是将传统的线性规划问题与其他两种方法结合起来的解决方案效率低下。在这项研究中,通过将Nguyen方法与常规线性规划相结合来发展模糊随机间隔线性规划(FSILP)方法,以支持城市固体废物管理。通过测量模糊数和/或模糊随机变量的达到值以及三角模糊数/三角模糊之间的优劣,使用Nguyen方法将模糊和模糊随机线性规划问题转换为常规线性规划随机变量。所开发的方法可以有效地解决用概率密度函数,模糊隶属函数和离散区间描述的不确定性。此外,该方法还可以改进传统的区间模糊规划和两阶段随机规划方法,其优点是可以容易地以较少的约束来实现并显着减少消耗时间。将该模型应用于某城市生活垃圾管理系统的案例研究。结果表明已经产生了合理的解决方案。该解决方案可以帮助量化系统成本的变化与不确定性之间的关系,这可以支持进一步分析废物管理成本与系统故障风险之间的折衷。

著录项

  • 来源
    《Journal of Environmental Management》 |2011年第4期|p.1198-1209|共12页
  • 作者

    Pu Li; Bing Chen;

  • 作者单位

    Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John's, NL A1B 3X5, Canada;

    Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John's, NL A1B 3X5, Canada,Research Academy of Energy and Environmental Studies, North China Electric Power University, Beijing 102206, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《化学文摘》(CA);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    linear programming; uncertainty; fuzzy; interval; stochastic; municipal solid waste; optimization;

    机译:线性规划;不确定;模糊;间隔;随机;城市生活垃圾;优化;

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