Application of Integrated Multiple Criteria Data Envelopment Analysis to Humanitarian Logistics Network Design

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ISSN: 1004-3756 (paper), 1861-9576 (online) CN 11-2983/N

Application of Integrated Multiple Criteria Data Envelopment Analysis to Humanitarian Logistics Network Design Jae-Dong Hong Industrial Engineering Program, South Carolina State University, Orangeburg, SC, USA [email protected] ()

Abstract. This paper considers a humanitarian logistics network (HTLN) design problem, including the

emergency relief facilities (ERFs) location-allocation decision for the efficient distribution of emergency supplies from the ERFs to the affected areas. A goal programming (GP) approach is applied to consider the multiple objectives simultaneously. Solving the GP model with a given weight assigned to each goal yields a single HTLN scheme, so there will be various schemes available by solving the GP with multiple values of the weights. For evaluating these schemes and identifying the most efficient one, we apply the data envelopment analysis (DEA) methods considering each scheme as a decision-making unit (DMU). Since the classical DEA (C-DEA) intrinsically aims to identify efficient DMUs and the efficient frontier, the use of C-DEA may not lead to a full ranking in many situations. There are several independent evaluation approaches to increasing discriminating power. Among them, this study integrates the multiple criteria DEA (MC-DEA) with the following three DEA methods, (i) stratification DEA (S-DEA), (ii) cross-efficiency DEA (CE-DEA), and (iii) super-efficiency DEA (SE-DEA), to make the most use of each method’s strengths. Through a case study of designing the HTLN system for South Carolina, the procedure of implementing the integrated multiple criteria DEA (IMC-DEA) method is demonstrated. It is observed that the IMCDEA method performs well in terms of designing the HTLN system and would help the decision-makers consider more efficient options and make a final decision. Keywords: Humanitarian logistics network, goal programming, decision-making unit, data envelopment analysis (DEA), stratification DEA, cross efficiency DEA, super-efficiency DEA, multiple-criteria DEA

1. Introduction In 2019, the UN warned that climate crisis disasters are happening at the rate of one a week, and such emergency events causing death, displacement and suffering are occurring much faster than predicted. Indeed, many practitioners have insisted that adapting to the climate crisis should be considered as one that needed investment immediately. In 2017, the US experienced a historic year of weather and climate disasters. In total, the US was impacted by 16 separate billion-dollar disaster events, including three tropical cyclones, eight severe storms, two inland floods, a crop freeze, drought, and wildfire. During 2018, the US experienced a very active year of weather and climate disasters. In total, the US was

impacted by 14 separate billion-dollar disaster events: two tropical cyclones, eight severe storms, two winter storms, drought, and wildfires. The past three years (2016-2018) have been historic, with the annual average number of billion-dollar disasters being more tha