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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
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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