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A proof of the relationship between optimal vehicle size,haulage length and the structure of distance-transport costs
Institution:1. China-EU Center for Information and Communication Technologies in Agriculture, China Agricultural University, Beijing 100083, PR China;2. Beijing Engineering and Technology Research Center for Internet of Things in Agriculture, China Agricultural University, Beijing 100083, PR China;3. Key Laboratory of Agricultural Information Acquisition Technology, Ministry of Agriculture, Beijing 100083, PR China;4. College of Information and Electrical Engineering, Ludong University, Yantai 264025, PR China;1. University of Szeged, Bolyai Institute, H-6720 Szeged, Aradi vértanúk tere 1, Hungary;2. Budapest University of Technology and Economics, Institute of Mathematics, H-1521 Budapest, Hungary;1. Department of Biosystems and Agricultural Engineering, University of Kentucky, Lexington, KY, United States;2. Department of Agricultural Economics, University of Kentucky, Lexington, KY, United States;1. CREATE Consortium, University of Naples Federico II, Napoli, Italy;2. DEIM, University of Palermo, Palermo, Italy;3. KIT - Karlsruhe Institute of Technology, Institute for Neutron Physics and Reactor Technology, Eggenstein-Leopoldshafen, Germany;4. ANSALDO Nucleare, Genova, Italy
Abstract:This paper deals with two interrelated questions, namely the optimum size of a vehicle or vessel, and the structure of transport costs with respect to haulage distance. The relationship between these two questions has not been coherently dealt with previously in the literature, and the heuristic attempts at doing so have lead to both theoretical and empirical anomalies. This paper adopts an inventory optimisation approach in order to show that both of these questions can be treated in a unified manner and this allows us to show, first, that under very general conditions the optimum size of a ship increases with the haulage distance and haulage weight, and second, that the observed structure of transport costs with respect to the haulage distance and quantity is itself a result of this optimisation problem.
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