Applications and Implementation A SEPARABLE PROGRAMMING APPROACH TO EXPECTED COVERAGE: AN APPLICATION TO AMBULANCE LOCATION

Cem Saydam · Mark A. McKnew

36 citations0/0 files storedDecision Sciences

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Facility Location and Emergency Management Vehicle Routing Optimization Methods Military Defense Systems Analysis

Abstract

ABSTRACT The maximum expected covering location problem (MEXCLP) is reformulated using a separable programming approach. The resulting formulation—nonlinear maximum expected covering location problem (NMEXCLP)—guarantees optimality and also solves more quickly than previous heuristic approaches. NMEXCLP allows two important extensions. First, minor formulation changes allow the specification of the minimum number of times each node is to be covered in order to satisfy expected coverage criteria. Second, coverage matrices can be constructed that consider two different types of coverage simultaneously. Both extensions are useful for ambulance location problems and are demonstrated in that setting.

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1974THE MAXIMAL COVERING LOCATION PROBLEM 1964Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph 1971The Location of Emergency Service Facilities 1970Central Facilities Location 1983A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution 1982APPLICATION OF AN EXPECTED COVERING MODEL TO EMERGENCY MEDICAL SERVICE SYSTEM DESIGN*1976Applications of the Location Set‐covering Problem 1977Facility location: a review of context-free and EMS models.

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2021The minimal covering location and sizing problem in the presence of gradual cooperative coverage 1989A Non-linear Multi-criteria Programming Approach for Determining County Emergency Medical Service Ambulance Allocations 2016Comparison of static ambulance location models 1992An application of a spatially distributed queuing model to an ambulance system

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