Abstract
Models for locating a firm's production facilities while simultaneously determining production levels at these facilities and shipping patterns so as to maximize the firm's profits are presented. In these models, existing firms, are assumed to act in accordance with an appropriate model of spatial equilibrium. A proof of existence of a solution to the combined location-equilibrium problem is provided.
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Friesz, T.L., Tobin, R.L. & Miller, T. Existence theory for spatially competitive network facility location models. Ann Oper Res 18, 267–276 (1989). https://doi.org/10.1007/BF02097808
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DOI: https://doi.org/10.1007/BF02097808