目的 针对不确定环境下快递包装回收再利用问题,构建包含快递网点、回收中心、再加工中心、转售市场和填埋点在内的五级逆向物流网络。在选址-分配问题中考虑快递包装回收数量和质量上的不确定性,以最小化经济成本、环境成本为目标,建立多目标整数规划模型。方法 引入模糊机会约束规划理论,将不确定性模型转化为确定性等价形式。采用Epsilon约束法对多目标进行处理,生成Pareto最优解集。结果 将所构建模型应用于包含20个快递网点、4个回收中心、4个再加工中心、2个市场和1个填埋点的仿真案例中进行求解,可生成较均衡的Pareto前沿,得到较优的选址与分配方案。结论 该方法可有效协调经济与环境目标,降低快递包装回收对环境影响。参数分析揭示了二者间的权衡关系,为构建绿色、高效的快递包装回收体系提供了理论与实践支持。
Abstract
To address the recycling and reuse of express packaging under uncertainties, the work aims to construct a five-level reverse logistics network comprising distribution points, recycling centers, remanufacturing centers, resale markets, and landfill sites. Considering the uncertainty in the quantity and quality of express packaging recycling in the facility location-allocation, a multi-objective integer programming model will be established to minimize economic and environmental costs. The fuzzy chance-constrained programming theory was introduced to transform the uncertainty model into a deterministic equivalent. Furthermore, the Epsilon constraint method was employed to handle multiple objectives and generate a set of Pareto-optimal solutions. The constructed model was applied to solve a simulation case involving 20 express delivery outlets, 4 recycling centers, 4 remanufacturing centers, 2 markets and 1 landfill site, generating a well-balanced Pareto frontier to obtain near-optimal location and allocation solutions. The method effectively balances economic and environmental goals, reducing the environmental impact of express packaging recycling. Parameter analysis further reveals the trade-off between these objectives, offering theoretical and practical support for building a green and efficient recycling system.
关键词
不确定环境 /
模糊机会约束规划 /
选址与分配问题 /
逆向物流 /
多目标优化 /
Epsilon约束
Key words
uncertain environment /
fuzzy chance constrained programming /
location-allocation problems (lap) /
reverse logistics /
multi-objective optimization /
Epsilon constraint
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基金
上海市哲学社会科学规划课题(2024BGL014); 国家新闻出版署“智能与绿色柔版印刷”重点实验室(KLIGFP-01); 上海市东方学者特聘教授基金(TP2022126)