Technical Report 009-2004

Title
Shunting Minimal Rail Car Allocation
Authors
Marco E. Lübbecke and Uwe T. Zimmermann
Source
Download as [PDF] [ps.gz]
Classification
MSC:
primary: 90C11 Mixed integer programming
secondary: 90C27 Combinatorial optimization
90B06 Transportation, logistics
Keywords
Mixed integer programming; shunting minimization; decomposition; rail transport
Abstract
We consider the rail car management at industrial in-plant railroads. Demands for loaded or empty cars are characterized by a track, a car type, and the desired quantity. If available, we assign cars from the stock, possibly substituting types, otherwise we rent additional cars. Transportation requests are fulfilled as a short sequence of pieces of work, the so-called blocks. Their design at a minimal total transportation cost is the planning task considered in this paper. It decomposes into the rough distribution of cars among regions, and the NP-hard shunting minimal allocation of cars per region. We present mixed integer programming formulations for the two problem levels. Our computational experience from practical data encourages an installation in practice.