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On the relationship between the discrete and continuous models for combined distribution and assignment
Institution:1. CREST, Ecole Polytechnique, Institute Polytechnique of Paris, France;2. Léonard de Vinci Pôle Universitaire, Research Center, 92916, Paris La Défense France;1. Department of Cognitive Robotics, Delft University of Technology, The Netherlands;2. Department of Transport & Planning, Delft University of Technology, The Netherlands;3. Faculty of Mathematics and Computer Science, Jagiellonian University
Abstract:The relationship between the discrete and continuous models for the combined distribution and assignment problem is presented. In particular, it is shown that, under certain conditions, the classic continuous flow formulation of the combined distribution and assignment problems can be viewed as the continuous approximation of the discrete model formulated in terms of the Efficiency Principle.
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