Abstract
This paper presents an additional application of patient/customer flow models within a large geographical domain to that which were presented in previous articles. Some additional calibration results are also provided for an origin-constrained model using real data from a hospital database for the state of Massachusetts. The equivalence of an equity objective function model that was presented in earlier papers is made to the spatial price equilibrium (SPE) problem. The corresponding mathematical formulations for the latter and an optimization algorithm for its solution are presented for patient/client/customer flows. Finally a Cournot-Nash oligopolistic model in which a few hospitals are competing in spatially separated markets is also formulated, as well as its corresponding solution using the mathematical principle of variational inequalities (VI). Conclusions and future directions of the research are discussed.
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