Risk-adjusted stochastic dual dynamic solution to a disaster preparedness and relief distribution problem

We consider a multi-stage disaster management problem with risk adjustments. The first-stage determines the quantities of emergency supplies to be pre-positioned at the known suppliers and the locations of transfer centers. These first-stage decisions are made before observing the random demands of the disaster victims for these supplies and the random road capacities. We assume that both demands and road capacities have joint and continuous distributions with known distribution functions. After the occurrence of a disaster and observing the realizations of the random data, the second-stage determines the quantities of supplies to be transported from the suppliers to the disaster victims through the transfer centers located at the first-stage.