Abstract This study proposes a robust optimization model to configure a wastewater treatment network requiring for the shale gas production. In Alberta (a province of Canada), the government of Alberta supervises this operation based on regulatory framework and environmental standards. On this matter, there are a variety of uncertain parameters (i.e., fixed and variable costs of wastewater treatment, required amount of water, and capacities of facilities) in this facility location problem. An integrated robust flexible stochastic model is developed to consider multiple sources of uncertainty. Simulation is conducted to analyze the robustness of the proposed model. To eliminate carbon emissions as a result of the operation and transportation, the mathematical model is extended to a multi-objective model. Non-dominated solutions of the multi-objective model are obtained by a new iterative approach. A network in Alberta, Canada is examined to illustrate the economic and environmental impacts of the proposed model.

中文翻译：

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不确定性下污水处理网络设计的稳健优化模型：多目标方法

摘要 本研究提出了一种稳健的优化模型来配置页岩气生产所需的废水处理网络。在艾伯塔省（加拿大的一个省），艾伯塔省政府根据监管框架和环境标准对这一运营进行监督。在这个问题上，在这个设施选址问题中存在各种不确定的参数（即废水处理的固定和可变成本、所需水量和设施容量）。开发了一个集成的稳健灵活的随机模型来考虑多种不确定性来源。进行仿真以分析所提出模型的鲁棒性。为了消除运营和运输过程中产生的碳排放，将数学模型扩展为多目标模型。多目标模型的非支配解是通过一种新的迭代方法获得的。对加拿大艾伯塔省的一个网络进行了检查，以说明所提议模型的经济和环境影响。