A Mathematical Pre-Disaster Model with Uncertainty and Multiple Criteria for Facility Location and Network Fortification

Monzón, Julia; Liberatore, Federico; Vitoriano, Begoña

doi:10.3390/math8040529

Cited by 9 publications

(4 citation statements)

References 15 publications

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“…Finally, the authors solved their model using CPLEX. In most cases, after the large-scale disaster the condition of transportation network becomes inaccessible and, realizing this problem, Monzón and Liberatore [49] proposed a two-stage stochastic programming model where the unavailability of the transportation network is considered.…”

Section: Stochastic Programming Approachmentioning

confidence: 99%

A Systematic Literature Review on Mathematical Models of Humanitarian Logistics

Hezam

Nayeem

2020

Symmetry

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Humanitarian logistics (HL) is considered one of the most significant issues of disaster operations and management. Thus, HL operation should be viable enough to function well under the uncertain and complex nature of the disaster. Many difficulties in pre-and post-disaster phases bring both human and economic losses. Therefore, it is essential to make sure that the HL operations are designed efficiently. In the last two decades, several publications have emphasized efficient HL operations and proposed several mathematical models and algorithms to increase the efficiency of HL operations and motivated the necessity of a systematic literature review. A systematic literature review is deemed pertinent due to its transparent and detailed article searching procedure. In this study, due to the importance of the mathematical optimization model, we reviewed more than one hundred articles published between 2000 and 2020 to investigate the optimization models in the field of HL. We classified the optimization models into three main problems: facility location problems, relief distribution, and mass evacuation where each of the classified areas includes both deterministic and non-deterministic models.

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Section: Stochastic Programming Approachmentioning

confidence: 99%

A Systematic Literature Review on Mathematical Models of Humanitarian Logistics

Hezam

Nayeem

2020

Symmetry

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“…The model is stochastic with respect to the available vehicles, the state of the infrastructure, and the demand. Monzon et al [15] developed a pre-disaster model with uncertainty and multiple criteria for facility location and network fortification. The model is a two-stage stochastic model where the first stage concerns decisions to be taken before the disaster strikes, such as location of inventories and fortification of road sections.…”

Section: Research On Humanitarian Logisticsmentioning

confidence: 99%

An Extended Model for Disaster Relief Operations Used on the Hagibis Typhoon Case in Japan

2021

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This paper presents a generalization of a previously defined lexicographical dynamic flow model based on multi-objective optimization for solving the multi-commodity aid distribution problem in the aftermath of a catastrophe. The model considers distribution of the two major commodities of food and medicine, and seven different objectives, and the model can easily be changed to include more commodities in addition to other and different priorities between the objectives. The first level in the model is to maximize the amount of aid distributed under the given constraints. Keeping the optimal result from the first level, the second level can be solved considering objectives such as the cost of the operation, the time of the operation, the equity of distribution for each type of humanitarian aid, the priority of the designated nodes, the minimum arc reliability, and the global reliability of the route. The model is tested on a recent case study based on the Hagibis typhoon disaster in Japan in 2019. The paper presents a solution for the distribution problem and provides a driving schedule for vehicles for delivering the commodities from depots to the regional centers in need for humanitarian aid.

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“…Planning of emergency activities can be made stronger with the implementation strategies determined before the event occurs. The disaster management studies model several decisions pertaining the temporary medical centers [1], needed equipment and materials [4], evacuation planning [5], and relief transportation processes [6]. These decisions will serve as an effective roadmap by facilitating the operational decisions in the response phase.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Two-Stage Stochastic Programming Model for a Proposed Casualty Transportation System in Large-Scale Disasters: A Case Study

Caglayan

Satoğlu

2021

Mathematics

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Disaster management is a process that includes mitigation, preparedness, response and recovery stages. Operational strategies covering all stages must be developed in order to alleviate the negative effects of the disasters. In this study, we aimed at minimizing the number of casualties that could not be transported to the hospitals after the disaster, the number of additional ambulances required in the response stage, and the total transportation time. Besides, we assumed that a data-driven decision support tool is employed to track casualties and up-to-date hospital capacities, so as to direct the ambulances to the available hospitals. For this purpose, a multi-objective two-stage stochastic programming model was developed. The model was applied to a district in Istanbul city of Turkey, for a major earthquake. Accordingly, the model was developed with a holistic perspective with multiple objectives, periods and locations. The developed multi-objective stochastic programming model was solved using an improved version of the augmented ε-constraint (AUGMECON2) method. Hence, the Pareto optimal solutions set has been obtained and compared with the best solution achieved according to the objective of total transportation time, to see the effect of the ambulance direction decisions based on hospital capacity availability. All of the decisions examined in these comparisons were evaluated in terms of effectiveness and equity. Finally, managerial implication strategies were presented to contribute decision-makers according to the results obtained. Results showed that without implementing a data-driven decision support tool, equity in casualty transportation cannot be achieved among the demand points.

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A Mathematical Pre-Disaster Model with Uncertainty and Multiple Criteria for Facility Location and Network Fortification

Cited by 9 publications

References 15 publications

A Systematic Literature Review on Mathematical Models of Humanitarian Logistics

A Systematic Literature Review on Mathematical Models of Humanitarian Logistics

An Extended Model for Disaster Relief Operations Used on the Hagibis Typhoon Case in Japan

Multi-Objective Two-Stage Stochastic Programming Model for a Proposed Casualty Transportation System in Large-Scale Disasters: A Case Study

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