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New and very interesting applications of Operational Research to the design of machining lines are presented. A complex machine or machining line consists of a sequence of work positions through which products move one way in order to be processed. Designing such a production system represents a long-term decision problem involving different crucial decision stages. Combinatorial design is one of them; it mostly deals with assigning the set of indivisible units of work (named tasks or operations) to work positions (or stations). In literature, the most attention was paid for combinatorial design of assembly lines (assembly line balancing problems). In our work, we develop approaches and formulations of combinatorial design for machining lines and complex machines. Novel algorithms in this domain and real life applications will be presented and discussed. Possible generalisations of our results to other problems in Production and Logistics will be suggested.
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