Vol 7 No 1 (2012)
Articles

Comparisons of Commercial MIP Solvers and an Adaptive Memory (Tabu Search) Procedure for a Class of 0-1 Integer Programming Problems

Lars Magnus Hvattum
Norwegian University of Science and Technology
Bio
Arne Løkketangen
Molde University College, Specialized University in Logistics
Fred Glover
OptTek System Inc.
Published July 26, 2012
Keywords
  • zero-one integer programming,
  • Boolean optimization,
  • commercial solvers,
  • metaheuristics
How to Cite
Hvattum, L. M., Løkketangen, A., & Glover, F. (2012). Comparisons of Commercial MIP Solvers and an Adaptive Memory (Tabu Search) Procedure for a Class of 0-1 Integer Programming Problems. Algorithmic Operations Research, 7(1), Pages 13 - 20. Retrieved from https://journals.lib.unb.ca/index.php/AOR/article/view/18595

Abstract

The Boolean optimization problem (BOOP) is a highly useful formulation that embraces a variety of 0-1 integer programming problems, including weighted versions of covering, partitioning and maximum satisfiability problems. Several years ago Hvattum, Løkketangen and Glover (2006) introduced an adaptive memory (tabu search) method for BOOP which proved effective compared to competing approaches. However, in the intervening years, major advances have taken place in exact solvers for integer programming problems, leading to widely publicized successes by the leading commercial solvers XPRESS, CPLEX and GUROBI. The implicit message is that an alternative methodology for any broad class of IP problems such as Boolean Optimization Problems would now be dominated by the newer versions of these leading solvers.

We test this hypothesis by performing new computational experiments comparing the tabu search method for the BOOP class against XPRESS, CPLEX and GUROBI, and documenting improvements provided by the exact codes. The outcomes are somewhat surprising.