The Swapping Problem on a Line

@article{Anily1999TheSP,
  title={The Swapping Problem on a Line},
  author={Shoshana Anily and Michel Gendreau and Gilbert Laporte},
  journal={SIAM J. Comput.},
  year={1999},
  volume={29},
  pages={327-335}
}
We consider the problem of optimally swapping objects between N workstations, which we refer to as nodes, located on a line. There are m types of objects, and the set of object-types is denoted by S = {1, . . . ,m}. Object-type 0 is a dummy type, the null object. Each node v contains one unit of a certain object-type av ∈ S ∪ {0} and requires one unit of object-type bv ∈ S ∪ {0}. We assume that the total supply equals the total demand for each of the object-types separately. A vehicle of unit… CONTINUE READING

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