A Simple Trade‐off Model for Maximal and Multiple Coverage

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Abstract
A natural slack model, which allows for the trade‐off of single coverage of demand for multiple coverage, is developed in this paper. Locational options structured within this multiobjective perspective extend from the most dispersed pattern possible (i.e., the maximal covering solution) to the most clustered (i.e., the multiple covering solution). It is believed that this extension of the location covering approach can better inform decision makers who must address questions of spatial and temporal access to services. A numerical example, demonstrating the use of the model and the identification of the noninferior set of siting choices, is suggested and solved.

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