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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 104
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE
Edited by: J. Pombo
Paper 289

An Optimal Control Model for Rail Freight Car Fleet Sizing Problem

M. Milenkovic1, N. Bojovic1 and R. Nuhodzic2

1Division for Management in Railway, Rolling stock and Traction, The Faculty of Transport and Traffic Engineering, University of Belgrade, Serbia
2Railway Infrastructure of Montenegro, Podgorica, Montenegro

Full Bibliographic Reference for this paper
M. Milenkovic, N. Bojovic, R. Nuhodzic, "An Optimal Control Model for Rail Freight Car Fleet Sizing Problem", in J. Pombo, (Editor), "Proceedings of the Second International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Stirlingshire, UK, Paper 289, 2014. doi:10.4203/ccp.104.289
Keywords: model predictive control, railway, freight cars, fleet size, allocation.

Summary
The transport of goods as the core of operation in every railway company is performed by allocation of rail freight cars. Rail freight car fleet represents the most valued asset of a railway company. In this paper, a linear dynamic model of rail car flows (loaded and empty) in a network is developed as the basis for using the optimal control theory to solve for the fleet size to support a total minimum cost solution. More specifically, a model predictive control approach to the problem of simultaneous optimization the rail freight car fleet size and allocation will be made by considering the rail freight car demand as deterministic one. An optimal controller, with a quadratic performance criterion and a discrete linear system model of the dynamics of the number of cars by stations subject to constraints on states, inputs and capacities can be used for making the fleet investment decisions. Numerical example is given to illustrate the model and solution methodology.

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