| The growing threat of sudden-onset disasters makes disaster operations management increasingly significant.Opening emergency facilities and Pre-positioning inventory are common initiatives to prepare for unexpected disasters.In addition,selecting suppliers to cooperate for joint disaster preparedness is also an essential measure in disaster operation management.Supplier selection takes the cooperative relationship between suppliers and relief organizations into account in disaster operation management,which has practical significance in disaster relief.Relief supplies,as consumables,are required repeatedly in each period after a disaster.Relief organizations can select suppliers before a disaster based on factors like commitment quantity and quantity-or lead time-based price discounts,and distribute relief supplies to satisfy demand after a disaster through three channels: pre-positioned inventory,suppliers’ production,and suppliers’ physical inventory.This paper formulates a min-max robust model to simultaneously make decisions on supplier selection,emergency facility location,inventory pre-positioning,and relief supply allocation to minimize the total of economic and deprivation costs,where demand and facility disruption are uncertain.An uncertainty set is proposed for each uncertain parameter,which is defined by the lower bound,upper bound,and most likely value of the corresponding uncertain parameter.The conservatism level of the min-max robust model is controlled by uncertainty budgets.The proposed model is applied to a real case of the 2019 Super Typhoon ‘Lekima’ landed in Zhejiang Province,P.R.China.The superiority of the min-max robust model is demonstrated by comparing it with the deterministic model and the two-stage stochastic model on the same problem.The experimental results show that the 90 percentile cost and average cost of the minmax robust model are lower than those of the deterministic model and the two-stage stochastic model,and the min-max robust model performs better on the 90 percentile cost than that on the average cost.Sensitivity analysis on unit deprivation cost and compensation rate of supplier’s physical inventory unit price further illustrates the advantage of the min-max robust model and provides some managerial insights for disaster relief operations. |
