Sheltering Network Planning Considering Deprivation Costs

Sheltering network planning is of great importance to public security. This paper proposes a stochastic program considering deprivation costs to better model the real problem.Expected cost minimization model may lead to high shortage when faced with scenarios with small probability of occurrence. To lower the loss for the worst-case scenario, mini-max regret model is proposed. The model may get public support, yet it’s not without its disadvantages. Mini-max regret model may lead to large prepositioning cost and unused resources. We propose an α-reliable regret model to get a set of solutions under different reliability levels. The decision maker can choose the point applied of the trade-off curve according to the budget limit and tolerable risk.The paper applies the deprivation cost concept of welfare economics into the shortage cost calculation and explicitly model the human suffering when critical supplies are stock out. The method can be applied to different road situations and transportation network structures. A case study of Guangdong Province coastal region is conducted to demonstrate the implementation of the proposed model.