title: A non-linear multi-criteria programming approach for determining county emergency medical service ambulance allocations.
abstract: In this paper an integer, non-linear mathematical programming model is developed to allocate emergency medical service (EMS) ambulances to sectors within a county in order to meet a government-mandated response-time criterion. However, in addition to the response-time criterion, the model also reflects criteria for budget and work-load, and, since ambulance response is best described within the context of a queueing system, several of the model system constraints are based on queueing formulations adapted to a mathematical programming format. The model is developed and demonstrated within the context of an example of a county encompassing rural, urban and mixed sectors which exhibit different demand and geographic characteristics. The example model is solved using an integer, non-linear goal-programming technique. The solution results provide ambulance allocations to sectors within the county, the probability of an ambulance exceeding a prespecified response time, and the utilization factor for ambulances per sector.
mesh_terms: D000552:Ambulances / Q000600:supply & distribution*; D003661:Decision Support Techniques; D004632:Emergency Medical Services / Q000592:standards*; D006301:Health Services Needs and Demand; D006302:Health Services Research; D008962:Models, Theoretical; D011930:Reaction Time; D015144:Southeastern United States; D013997:Time Factors