Thesis 5  
     
  The travelling salesman problem (TSP) is an NP-hard problem in combinatorial optimization studied in operations research and theoretical computer science.

The problem was first formulated as a mathematical problem in 1930 and is one of the most intensively studied problems in optimization. It is used as a benchmark for many optimization methods.
Even though the problem is computationally difficult,[1] a large number of heuristics and exact methods are known, so that some instances with tens of thousands of cities can be solved.

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