Bi-objective optimization modeling for biomass supply chain planning

Chia-Nan Wang, Thi-Be-Oanh Cao, Duc Duy Nguyen, Thanh-Tuan Dang
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Abstract

Biomass energy plays an essential role in renewable energy for many reasons, such as reducing the dependence on fossil fuels and lowering greenhouse gas emissions, providing heat, electricity, and biofuels for various applications, and utilizing waste materials for helpful energy products. Besides, it can create employment opportunities and promote rural development, especially in developing countries where biomass resources are abundant and accessible. In the context of renewable energy research and application, this paper aims to develop a multi-objective mixed integer linear programming for designing multiple echelon biomass supply chain networks. The model is formulated to consider the economic costs and environmental impact of biomass distribution from the suppliers to the biomass plants. In this research, the Epsilon constraint method is adopted to generate Pareto fonts, which provides the trade-offs between two objectives. Moreover, sensitivity analysis is implemented to provide decision-makers with information about a network with changed parameters such as demand. Our model allows the decision maker to determine the capacity of warehouses and biomass power plants, inventory levels, type of trucks, etc. The proposed model is verified and evaluated using a practical dataset from Can Tho province, Central Mekong River Delta in Vietnam, generating several benefits for energy security and sustainability. Such a network includes 3 types of power plants, 3 scales of warehouses, 13 potential locations, and 41 suppliers. From the generated solutions, with the proportion of biomass electricity satisfaction varying from 5% to 30%, Hung Phu, O Mon, and Cai Rang industrial parks are the most suitable for power plants.
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生物质供应链规划的双目标优化模型
生物质能源在可再生能源中发挥着至关重要的作用,原因有很多,如减少对化石燃料的依赖和降低温室气体排放,为各种应用提供热能、电力和生物燃料,以及利用废料生产有用的能源产品。此外,它还能创造就业机会,促进农村发展,特别是在生物质资源丰富且容易获得的发展中国家。在可再生能源研究和应用的背景下,本文旨在开发一种多目标混合整数线性规划方法,用于设计多梯队生物质供应链网络。该模型考虑了从供应商到生物质工厂的生物质配送过程中的经济成本和环境影响。本研究采用 Epsilon 约束方法生成帕累托方阵,提供两个目标之间的权衡。此外,还实施了敏感性分析,为决策者提供需求等参数发生变化时的网络信息。我们的模型允许决策者确定仓库和生物质发电厂的容量、库存水平、卡车类型等。我们使用越南湄公河三角洲中部芹苴省的实际数据集对所提出的模型进行了验证和评估,为能源安全和可持续发展带来了诸多益处。该网络包括 3 种类型的发电厂、3 种规模的仓库、13 个潜在地点和 41 个供应商。从生成的解决方案来看,生物质发电的比例从 5% 到 30% 不等,洪福、乌孟和才让工业园区最适合建立发电厂。
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