IfSf SERIE RESEARCH mEmORMIDn DYNAMIC SPATIAL INTERACTION MODELS: NEW DIRECTIONS
نویسندگان
چکیده
Spatial interaction models have received a great deal of attention in the past decade. In recent years, also various approaches have been developed to take into account dynamic aspects of spatial interaction models, for instance, by means of optimal control theory, bifurcation theory or catastrophe theory. The present paper deals with new directions in dynamic spatial interaction research. It will focus on a general dynamic interaction model analyzed in the framework of optimal control theory. The objective function used is a bi-criterion utility model, to be maximized subject to a set of differential equations which bear some resemblance to those used by Wilson in a shopping centre context. Next, we investigate the link between our model and a catastrophe type of model. It will be demonstrated that catastrophe behaviour may emerge as a particular case of this optimal control model. Finally, it will also be shown how external influences (e.g., stochastic impacts of the Brownian motion type) will affect the optimal trajectory.
منابع مشابه
SERIE RESEARCH mEmORIMDn A NEW METHODOLOGY FOR THE ANALYSIS OF DYNAMIC SPATIAL INTERACTION MODELS
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