In this paper, a multi-objective integrated production and energy model for sustainable supply chain design, planning, and energy source selection has been proposed. The model considers economic, environmental, and social concerns. The lexicographic procedure was applied to compromise the conflict objectives with different percentages of deviations. It aims to maximize both profit and overall customer service level while minimizing the gas emissions generated from both transportation and production operations.

In addition, the model helps to select the optimal source of energy from three potential sources of energy considering both capital and operating costs, in addition to the selection of the transportation mode (heavy or light trucks) to satisfy customer demand during the planning horizon with six periods of all products.

The efficacy of the model has been evaluated using a comprehensive case study in addition to the analysis of several scenarios with various conditions. Six different scenarios have been carried out to validate the effectiveness of the proposed model and to study the effect of changing objective prioritization and the maximum allowable deviation on the performance of the supply.

本文提出了一种用于可持续供应链设计、规划和能源选择的多目标集成生产和能源模型。该模型考虑了经济、环境和社会问题。字典程序被应用于以不同百分比的偏差来折衷冲突目标。它旨在最大限度地提高利润和整体客户服务水平，同时最大限度地减少运输和生产运营产生的气体排放。

此外，该模型有助于在考虑资金和运营成本的情况下从三种潜在能源中选择最佳能源，此外还可以选择运输方式（重型或轻型卡车）以满足规划范围内的客户需求所有产品的六个时期。

除了对不同条件下的几种情景进行分析外，还使用综合案例研究评估了该模型的功效。已经进行了六种不同的情景来验证所提出模型的有效性，并研究改变目标优先级和最大允许偏差对供应绩效的影响。