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A Davis-Putnam based enumeration algorithm for linear pseudo-Boolean optimization

Barth, Peter

January 1995, 13 pages.

Status: available - back from printing

The Davis-Putnam enumeration method (DP) has recently become one of the fastest known methods for solving the clausal satisfiability problem of propositional calculus. We present a generalization of the DP-procedure for solving the satisfiability problem of a set of linear pseudo-Boolean (or 0-1) inequalities. We extend the method to solve linear 0-1 optimization problems, i.e.\ optimize a linear pseudo-Boolean objective function w.r.t.\ a set of linear pseudo-Boolean inequalities. The algorithm compares well with traditional linear programming based methods on a variety of standard 0-1 integer programming benchmarks.

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  AUTHOR = {Barth, Peter},
  TITLE = {A {Davis-Putnam} based enumeration algorithm for linear pseudo-{Boolean} optimization},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-95-2-003},
  MONTH = {January},
  YEAR = {1995},
  ISSN = {0946-011X},