Purpose

To maximize the network total profit by calculating the difference between costs and revenue (first objective function). To maximize the positive impact on the environment by integrating GSCM factors in RL (second objective function). To calculate the efficiency of disassembly centers by SDEA method, which are selected as suppliers and maximize the total efficiency (third objective function). To evaluate the resources and total efficiency of the proposed model to facilitate the allocation resource process, to increase resource efficiency and to improve the efficiency of disassembly centers by Inverse DEA.

Design/methodology/approach

The design of a closed-loop logistics network for after-sales service for mobile phones and digital cameras has been developed by the mixed-integer linear programming method (MILP). Development of MILP method has been performed by simultaneously considering three main objectives including: total network profit, green supply chain factors (environmental sustainability) and maximizing the efficiency of disassembly centers. The proposed model of study is a six-level, multi-objective, single-period and multi-product that focuses on electrical waste. The efficiency of product return centers is calculated by SDEA method and the most efficient centers are selected.

Findings

The results of using the model in a case mining showed that, due to the use of green factors in network design, environmental pollution and undesirable disposal of some electronic waste were reduced. Also, with the reduction of waste disposal, valuable materials entered the market cycle and the network profit increased.

Originality/value

(1) Design a closed-loop reverse logistics network for after-sales services; (2) Introduce a multi-objective multi-echelon mixed integer linear programming model; (3) Sensitivity analysis use Inverse-DEA method to increase the efficiency of inefficient units; (4) Use the GSC factors and DEA method in reverse logistics network.

中文翻译：

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不确定性下绿色逆向物流网络设计中循环经济主导的闭环供应链混合整数线性规划方法

目的

通过计算成本和收入之间的差异来最大化网络总利润（第一个目标函数）。通过在 RL（第二个目标函数）中集成 GSCM 因素来最大化对环境的积极影响。通过SDEA方法计算拆解中心的效率，选择供应商并最大化总效率（第三个目标函数）。评估所提出模型的资源和总效率，以促进资源分配过程，提高资源效率，并通过逆 DEA 提高拆卸中心的效率。

设计/方法/方法

采用混合整数线性规划方法（MILP）开发了手机和数码相机售后服务闭环物流网络的设计。MILP 方法的开发是通过同时考虑三个主要目标来进行的，包括：总网络利润、绿色供应链因素（环境可持续性）和最大化拆解中心的效率。拟议的研究模型是一个六级、多目标、单周期和多产品，专注于电气废物。产品退货中心的效率采用SDEA方法计算，选择效率最高的中心。

发现

在案例挖掘中使用该模型的结果表明，由于在网络设计中使用了绿色因素，减少了环境污染和一些电子废物的不良处置。同时，随着垃圾处理的减少，有价值的材料进入市场循环，网络利润增加。

原创性/价值

（1）设计售后服务闭环逆向物流网络；(2) 引入多目标多梯队混合整数线性规划模型；(3)敏感性分析采用Inverse-DEA方法提高低效机组的效率；(4)在逆向物流网络中使用GSC因素和DEA方法。