Emergency response model of stock-prepositioning with transportation constraints

This paper proposes a stock pre-positioning model that integrates the decisions of the maximum proportion of relief demand covered in distribution centers and the maximum amount of relief supplies delivered to a single disaster area within a certain period of time. This model considers multi-items, multi-vehicles and multi-periods. First, the service area for each distribution center is assigned. Afterward, in stage I, we determine the minimum value of the lower bound of proportion of unsatisfied relief demand by using the assigned service area of each distribution center as an input. Next, in stage II, the output of stage I is used as an input to determine the maximum amount of critical relief supplies to be stocked in distribution centers. We apply this model to Indonesia with 34 disaster areas and 16 temporary distribution centers. Sensitivity analysis is conducted by modifying the number of available vehicles and the total planning period in order to improve the results of proportions of relief demand satisfied. This model is intended to support the government in planning for emergency preparedness.