2014
DOI: 10.1080/18756891.2014.853930
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A lexicographical dynamic flow model for relief operations

Abstract: Emergency management is a highly relevant area of interest in operations research. Currently the area is undergoing widespread development. Furthermore, recent disasters have highlighted the importance of disaster management, in order to alleviate the suffering of vulnerable people and save lives. In this context, the problem of designing plans for the distribution of humanitarian aid according to the preferences of the decision maker is crucial. In this paper, a lexicographical dynamic flow model to solve thi… Show more

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Cited by 15 publications
(15 citation statements)
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“…Bozorgi-Amiri et al [20] propose a robust stochastic compromise programming model for disaster relief logistics, minimizing the sum of the expected value and the variance of the total cost and minimizing the sum of the maximum unsatisfied demands. Tirado et al [21] consider four attributes (amount of aid distributed, time of the operation, equity and cost) in a dynamic flow model that is solved via lexicographical goal programming. Huang et al [22] develop a quadratic multi-objective programming model to face an allocation and distribution problem.…”
Section: Literature Reviewmentioning
confidence: 99%
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“…Bozorgi-Amiri et al [20] propose a robust stochastic compromise programming model for disaster relief logistics, minimizing the sum of the expected value and the variance of the total cost and minimizing the sum of the maximum unsatisfied demands. Tirado et al [21] consider four attributes (amount of aid distributed, time of the operation, equity and cost) in a dynamic flow model that is solved via lexicographical goal programming. Huang et al [22] develop a quadratic multi-objective programming model to face an allocation and distribution problem.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The data for the Haiti test case come from various documents available in January 2010: a logistic map provided by the United Nations Office for the Coordination of Humanitarian Affairs (OCHA) [44], a map reporting the satellite-identified IDP concentrations, road and bridge obstacles in central Port-au-Prince, Haiti, created by the United Nations Institute for Training and Research (UNITAR), and a map focused only on the Port-au-Prince road conditions created by the World Food Programme (WFP) Emergency Preparedness and Response [45]. In Figure 1 a map of the region is presented, showing the network nodes (depots labeled 1-3, demanding nodes labeled by 10,12,13,16,17,18,20,21,22, and the rest for intermediate nodes) and all available links. Links are shown in different color depending on their reliability and different thickness depending on their quality (determining the maximum speed of the lorries travelling through them).…”
Section: Description Of the Test Casesmentioning
confidence: 99%
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“…Bozorgi-Amiri et al (2013) proposed a multi-objective robust stochastic programming in order to optimize humanitarian relief operations in both the preparedness (e.g., pre-positioning) and response phases simultaneously (and distribution). Tirado et al (2014) proposed the lexicographical dynamic flow model to solve the problem of relief item distribution in a humanitarian logistic supply chain. They tried to involve the criteria that were related to cost, time, and equity to obtain a better response in disasters.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Each one of them comprises important logistic operations that must be planned in the most effective and efficient way. Research on these phases may focus on specific types of disasters, such as hurricanes, typhoons and cyclones [4], earthquakes [5], floods [6] or wildfires [7]; or it can address specific problems along the cycle, such as location [6], emergency mitigation [5,8], prepositioning of aid distribution centers [9], transportation and last mile distribution [10][11][12] or evacuation problems [13,14].…”
Section: Introduction and Literature Reviewmentioning
confidence: 99%