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Transport by ship is regarded as the most economical and ecological means of transport for carrying large and heavy volumes over long distances. Still or as a result, total world-wide container shipping is due to its mere size one of the largest carbon dioxide (C02) and sulphur oxides (SOX) polluters today. Hence, recommendations for reducing these emissions are most welcome. This thesis not only presents a decision support system for designing a liner shipping network and its operation. It is also a nice example for how Operations Research models and algorithms can help to improve both economical and ecological objectives simultaneously! This research is based on detailed real-world data for currents, winds and waves a ship may face on a given passage. It is used as an input to a shortest path and a strategic mathematical model. As means to reduce emissions and fuel consumption, slow steaming as well as additional propulsion systems are incorporated into the models. A large computational test with container ships equipped with the latest technology for an additional wind propulsion system (i.e., a kite) shows that significant reductions of fuel consumption can be expected only on specific passages (like the North Atlantic). Much more important in this respect is the choice of an appropriate speed (including slow steaming) for each leg on a ships round trip...