Abstract As the concept of sustainable development and environmental awareness has aroused huge attention from the public, environmental and social factors have gradually been critical to the development of upstream and downstream enterprises in the supply chain. An uncertain sustainable supply chain involving the factors of cost, environmental impact and social benefits is considered. Some factors (e.g., demand, cost and capacity) are recognized as uncertain variables. In the present study, a multi-objective chance-constrained model in the uncertain scenario is developed to delve into the impact of uncertainties on decision variables. In accordance with the uncertainty theory, this study elucidates the deterministic equivalence of the model. To solve this model effectively, a hybrid genetic algorithm is proposed based on variable length chromosome coding. Lastly, numerical experiments are performed to verify the feasibility of the model and algorithm.

中文翻译：

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不确定的可持续供应链网络

摘要 随着可持续发展理念和环保意识引起公众的广泛关注，环境和社会因素逐渐成为供应链上下游企业发展的关键。考虑了涉及成本、环境影响和社会效益等因素的不确定的可持续供应链。一些因素（例如，需求、成本和容量）被认为是不确定变量。在本研究中，开发了不确定情景下的多目标机会约束模型，以深入研究不确定性对决策变量的影响。根据不确定性理论，本研究阐明了模型的确定性等价性。为了有效地求解该模型，提出了一种基于变长染色体编码的混合遗传算法。最后通过数值实验验证了模型和算法的可行性。