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The Set Partitioning problem as a sub-problem of crew scheduling

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Set-Partitioning

The Set Partitioning problem solved using constraint programming. The following preprocessing is performed on the data to reduce the search space:

  • Multiple Sets Pruning: Keep the pairings with the lowest cost among identical ones, discard the rest.
  • Subsumed Sets Pruning: If a pairing can be subsummed by a number of other pairings with a lower total cost, discard that pairing. An exhaustive search for this pruning would require exponential time, so a greedy approach is implemented as presented in this publication.

Running

flights(I,P,C).

  • I: Index for input from flight_data.pl
  • P: Chosen pairings output
  • C: Final cost output

Input inside flight_data.pl as get_flight_data(I,N,PairingList,CostList).

  • I: Input ID
  • N: Total flights

Using ECLiPSe platform. flight_data.pl and acsdata provided by instructor Panagiotis Stamatopoulos

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The Set Partitioning problem as a sub-problem of crew scheduling

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