“…That is why the deterministic FLPs in HL can be called network facility location problems. However, some research has been carried out in some cases in which demands arise on links and nodes [19]. Deterministic models of the network facility location problem in HL can be classified into some categories: median problems, center problems, and covering problems.…”
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.
“…That is why the deterministic FLPs in HL can be called network facility location problems. However, some research has been carried out in some cases in which demands arise on links and nodes [19]. Deterministic models of the network facility location problem in HL can be classified into some categories: median problems, center problems, and covering problems.…”
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.
“…This modeling approach has been deployed for disaster management applications by Noyan (), Elçi and Noyan (), Hu et al. (, ), and Givler Chapman and Mitchell (). In the first four papers, the corresponding problem is modeled as a two‐stage stochastic program.…”
Section: Location and Supply Chain Network Designmentioning
confidence: 99%
“…A related problem is addressed by Hu et al. (). Here, the only risk factor is the demand for relief supplies arising after a disaster occurs, but, in contrast with Noyan (), it is possible, after a disaster hits, to procure relief commodities from a set of suppliers, which is limited by specific production capacities.…”
Section: Location and Supply Chain Network Designmentioning
A large number of problems involve making decisions in an uncertain environment and, hence, with unknown outcomes. Optimization models aimed at controlling the trade‐off between risk and return in finance have been widely studied since the seminal work by Markowitz in 1952. In financial applications, shortfall or quantile risk measures are receiving ever‐increasing attention. Conditional value‐at‐risk (CVaR) is arguably the most popular of such measures. In the last decades, optimization models aimed at controlling risk have been applied to several application domains different from financial optimization. This survey provides an overview of the main contributions where CVaR is incorporated into an optimization approach and applied to a context different from financial engineering. The literature is classified following an application‐oriented perspective. The applications cover classical areas studied in operational research—such as supply chain management, scheduling, and networks—and less classical areas such as energy and medicine. For each area, concise paper excerpts are provided that convey the main ideas of the problems studied, and analyze how the CVaR has been used to cope with different sources of uncertainty. Finally, some open research directions are outlined.
“…A stochastic approach is proposed to decide inventory amounts before disaster and sufficient amounts after the disaster. The problem includes uncertain demand, so a scenario based model is provided [14]. A mixed integer programming approach is presented for blood supply.…”
Post-disaster relief logistics includes logistics activities in the shortest time. Inventory routing problems have decided routing decisions considering inventory levels during the planning horizon at minimum cost. In this study, an inventory routing problem for the distribution after the disaster has been proposed. The problem aims the distribution of the supplies needed considering available inventory levels at minimum time. Distribution amount and the routes under the constraints of routing and inventory amounts for affected people have been decided. An integer programming approach to solve the problem has been proposed and solved. The proposed model is solved for a case of Van earthquake which occurred at 2011 in Turkey. The results from the case study show us that determining the inventory and routing decisions simultaneously can provide less logistic activities. In addition to this, holding inventory in the central depot can ensure to respond the emergency needs safely and quickly.
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