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Sustainability 2018, 10(9), 3099; https://doi.org/10.3390/su10093099

An Improved Voronoi-Diagram-Based Algorithm for Continuous Facility Location Problem under Disruptions

School of Economics & Management, Shanxi University, Taiyuan 030006, China
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Received: 22 July 2018 / Revised: 27 August 2018 / Accepted: 28 August 2018 / Published: 31 August 2018
(This article belongs to the Special Issue Sustainable Supply Chain System Design and Optimization)
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Abstract

The classical location models implicitly assume that the facilities, once built, will always operate as planned. However, some of the facilities may become unavailable from time to time due to disruptions which highlight the urgent need to effectively manage supply chain disruptions in spite of their low probability of occurrence. Therefore, it is critical to take account of disruptions when designing a resilient supply chain network so that it performs well as a whole even after an accidental disruption. In this paper, a stylized facility location problem is considered in a continuous plane which is solved through an improved Voronoi-diagram-based algorithm under disruption risks. The research problem is to minimize the total cost in normal and failure scenarios. Furthermore, the impact of misestimating the disruption probability is also investigated. The results numerically show that although the estimated disruption probability has a significant impact on the facilities configuration, it has a minor impact on the total quantity of facilities and the expected total cost. Therefore, this paper proposes that the decision-maker should moderately overestimate disruption risk based on the “pessimistic principle”. Finally, the conclusion considers managerial insights and proposes potential areas for future research. View Full-Text
Keywords: facility network design; disruption; continuous approximation; misestimation facility network design; disruption; continuous approximation; misestimation
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Wang, J.; Wu, Y. An Improved Voronoi-Diagram-Based Algorithm for Continuous Facility Location Problem under Disruptions. Sustainability 2018, 10, 3099.

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