Scenario-based approach for the ambulance location problem with stochastic call arrivals under a dispatching policy
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This paper proposes a scenario-based ambulance location model which explicitly computes the availability of ambulances with stochastic call arrivals under a dispatching policy. The model utilizes two-stage stochastic programming to represent the temporal variations in call arrivals as a set of call arrival sequences. Constraints are embedded in the model to ensure that available ambulances are assigned to incoming calls following a dispatching policy. A logic-based Benders decomposition algorithm is presented to solve the model. The advantage of using our algorithm is demonstrated by comparing its performance with those of other location models.
KeywordsAmbulance location problem Stochastic programming Stochastic call arrivals Dispatching policy Logic-based Benders decomposition
This research was supported by a Grant “Research and development of modeling and simulating the rescues, the transfer, and the treatment of disaster victims” [MPSS-SD-2013-36] through the Disaster and Safety Management Institute funded by Ministry of Public Safety and Security of Korean government.
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