GVM/S – Scientific Computing
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چکیده
The products in the real-world application to be studied in this thesis are the rail cars used by BASF to transport products between plants and from plants to customers. The transported product poses minimum requirements on certain rail car characteristics (material, heating, etc.). These characteristics define a rail car type. Types with higher quality characteristics can be used as substitutes for lower ones and thus are more flexible. On the other hand, a more flexible type is also more expensive, in general. Consequently, in this particular setting we consider the special case of unidirectional product substitution. If demand for a product type cannot be immediately satisfied by this particular type, the missing quantity is redirected to a higher quality substitute. Demand as well as travel times of the rail cars are stochastic. The overall objective is to find the cost optimal structure and size of the rail car fleet under a given service-level constraint.
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