A Branch-and-Cut Approach to the Directed Acyclic Graph Layering Problem

  • Patrick Healy
  • Nikola S. Nikolov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2528)

Abstract

We consider the problem of layering Directed Acyclic Graphs, an NP-hard problem. We show that some useful variants of the problem are also NP-hard. We provide an Integer Linear Programming formulation of a generalization of the standard problem and discuss how a branch-and-bound algorithm could be improved upon with cutting planes. We then describe a separation algorithm for two classes of valid inequalities that we have identified - one of which is facet-defining - and discuss their efficacy.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Patrick Healy
  • Nikola S. Nikolov
    • 1
  1. 1.CSIS DepartmentUniversity of LimerickLimerickRepublic of Ireland

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