Computational Experience with Generic Decomposition using the DIP Framework

نویسندگان

  • Matthew V. Galati
  • Ted K. Ralphs
  • Jiadong Wang
چکیده

Decomposition methods are techniques for exploiting the tractable substructures of an integer program in order to obtain improved solution techniques. In particular, the fundamental idea is to exploit our ability to either optimize over and/or separate from the convex hull of solutions to a given relaxation in order to derive improved methods of bounding the optimal solution value. These bounding methods can then be combined with associated methods for branching to obtain a complete branch-and-bound algorithm. This paper concerns a software package called DIP (Decomposition in Integer Programming) that simplifies the process of implementing decomposition-based bounding methods. Used in combination with the COIN-OR High Performance Parallel Search (CHiPPS) framework, DIP provides a complete decomposition-based MILP solver that can be used in either a generic mode in which no customization of algorithm components is required or as a framework in which users can replace generic implementations of various components with versions specialized to a particular problem class.

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تاریخ انتشار 2012