摘要
针对生物燃料需求量不确定的可持续生物燃料供应链设计问题,提出了一个以总成本和碳排放总量最小化、社会总效益最大化为目标函数的多目标鲁棒优化模型。该模型是一个多目标的半无限规划模型,无法直接求解,因此利用对偶技术和ε-约束法等价地将它转化为一个计算上可处理的单目标混合整数规划模型。算例结果表明,与名义模型相比,本研究提供的鲁棒最优设计决策可以有效抵御参数的不确定性。
For the design of sustainable biofuel supply chains with uncertain biofuel demands,a multiobjective robust optimization model is proposed,with the objective functions of minimizing total cost and total carbon emissions and maximizing total social benefit.The proposed model is a multi-objective and semi-infinite programming model that cannot be solved directly,so the researcher equivalently transforms it into a computationally tractable single-objective mixed-integer programming model via duality technique andε-constraint method.The numerical results show that the robust optimal decision provided by the study can effectively hedge against parameter uncertainty compared with the nominal model.
作者
陈爱霞
CHEN Aixia(College of Mathematics and Information Science,Hebei University,Baoding,Hebei 071002,China)
出处
《邢台学院学报》
2025年第2期96-105,共10页
Journal of Xingtai University
基金
2023—2024年度河北省社会科学基金项目:“双碳”目标背景下河北省可持续绿色能源供应链决策优化研究(HB23GL019)。
关键词
可持续性
生物燃料供应链
多目标
鲁棒优化
sustainability
biofuel supply chain
multi-objective
robust optimization
