Abstract
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.
Highlights
The exponential increase in the disaster numbers has brought up myriad complications in both human life and the economic sector of a country
The main challenge of the facility location problems is to find out the optimum location for facilities to minimize people’s sufferings by satisfying the demand of people while keeping the associated cost minimum. It has been found from the review of FLPs in disaster management (DM) that most of the articles are based on a single objective, and few papers are based on multi-objectives
Cotes and Cantillo [41] proposed a model of capacitated facility location, attempting to minimize the global social costs which are the sum of both private costs and deprivation costs, determining the amount per type of product to be prepositioned for serving the areas affected by a disaster
Summary
The exponential increase in the disaster numbers has brought up myriad complications in both human life and the economic sector of a country. Goldschmidt and Kumar [14] provided a literature review on the disaster management life cycle where authors covered three domains, namely, supply chain management, economics, and disaster management. As of the published literature review on HL focuses on a certain stage of a disaster life cycle and some modeling techniques. The literature review only focusing on mathematical modeling for the deterministic and non-deterministic models are not studied for all the four stages of the disaster. None of these published works cover the three main domains of HL and their approaches are not holistic in terms of modeling technique and solution methodologies.
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