Beiki Hossein, Seyedhosseini Seyed M, Mihardjo Leonardus W W, Seyedaliakbar Seyed M
School of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran.
Department of Industrial Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran.
Environ Sci Pollut Res Int. 2021 Jan 6. doi: 10.1007/s11356-020-11891-w.
The applicability and efficiency of location-routing problems for relief commodities motivate several researchers to develop optimization models and algorithms with regards to real-world cases. This study by presenting a multiobjective mixed integer mathematical model for the location-routing of the medical relief problem at the time of a disaster, proposes a new extension to this applicable model with reliability considerations. The proposed model focuses on the location of temporary relief centers and delivers the pharmaceutical commodities to centers at the shortest possible time with reliability assurance. The model includes three simultaneous objectives of minimizing response time, minimizing operational costs, and maximizing the reliability of the transportation network. As far as we know, this study firstly optimizes these three objectives simultaneously. Another novelty is to add the uncertainty of the problem. In this regard, the inherent uncertainty is formulated by a scenario-based approach. Considering the multiobjectiveness of the proposed model, the Epsilon constraint method as a solution algorithm has been used to solve the model. Results are tested for numerical examples via different scenarios. The results represent the excellent performance of the model to minimize the costs and to increase the reliability for the proposed location-routing problem of relief commodities.
救援物资选址-路径问题的适用性和效率促使一些研究人员针对实际案例开发优化模型和算法。本研究通过提出一个用于灾难时期医疗救援问题选址-路径的多目标混合整数数学模型，在考虑可靠性的情况下对这个适用模型提出了新的扩展。所提出的模型关注临时救援中心的选址，并在确保可靠性的前提下，以尽可能短的时间将药品物资运送到各中心。该模型包括三个同时进行的目标：最小化响应时间、最小化运营成本以及最大化运输网络的可靠性。据我们所知，本研究首次同时对这三个目标进行了优化。另一个新颖之处是考虑了问题的不确定性。在这方面，通过基于场景的方法来描述内在的不确定性。考虑到所提出模型的多目标性，采用ε约束法作为求解算法来求解该模型。通过不同场景对数值示例的结果进行了测试。结果表明该模型在最小化成本和提高所提出的救援物资选址-路径问题的可靠性方面具有出色的性能。
