A non-linear multi-criteria programming approach for determining county emergency medical service ambulance allocations

A non-linear multi-criteria programming approach for determining county emergency medical service ambulance allocations

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Article ID: iaor19881069
Country: United Kingdom
Volume: 40
Issue: 5
Start Page Number: 423
End Page Number: 432
Publication Date: May 1989
Journal: Journal of the Operational Research Society
Authors: , ,
Keywords: allocation: resources, programming: goal, programming: multiple criteria
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.

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