We propose a nonparametric model for global cost minimization as a framework for optimal allocation of a firm's output target across multiple locations, taking account of differences in input prices and technologies across locations. This should be useful for firms planning production sites within a country and for foreign direct investment decisions by multi-national firms. Two illustrative examples are included. The first example considers the production location decision of a manufacturing firm across a number of adjacent states of the US. In the other example, we consider the optimal allocation of US and Canadian automobile manufacturers across the two countries.
Ray, Subhash C.; Chen, Lei; and Mukherjee, Kankana, "Input Price Variation Across Locations and a Generalized Measure of Cost Efficiency" (2008). Economics Working Papers. Paper 200811.