Early Estimates of the Size of Branch-and-Bound Trees

Published Online:https://doi.org/10.1287/ijoc.1040.0107

References

  • Anstreicher K., Brixius N., Goux J.-P., Linderoth J. Solving large quadratic assignment problems on computational grids. Math. Programming Ser. B (2002) 91:563–588CrossrefGoogle Scholar
  • Argonne National Laboratory, Mathematics and Computer Science Division (2004) . ftp://ftp.mcs.anl.gov/neos/mip-bench/Google Scholar
  • Beasley J. E. An algorithm for solving large capacitated warehouse location problems. Eur. J. Oper. Res. (1988) 33:314–325CrossrefGoogle Scholar
  • Beasley J. E. A lagrangian heuristic for set-covering problems. Naval Res. Logist. (1990a) 37:151–164CrossrefGoogle Scholar
  • Beasley J. E. OR-Library: Distributing test problems by electronic mail. J. Oper. Res. Soc. (1990b) 41:1069–1072CrossrefGoogle Scholar
  • Bixby R. E., Ceria S., McZeal C. M., Savelsbergh M. W. P. An updated mixed integer programming library: MIPLIB 3.0. Optima (1998) 58:12–15Google Scholar
  • Brüngger A., Marzetta A., Clausen J., Perregaard M. Solving large-scale QAP problems in parallel with the search library ZRAM. J. Parallel Distributed Comput. (1998) 50:157–169CrossrefGoogle Scholar
  • Chen P. G. Heuristic sampling: A method for predicting the performance of tree search programs. SIAM J. Comput. (1992) 21:295–315CrossrefGoogle Scholar
  • Chu P. C., Beasley J. E. A genetic algorithm for the multidimensional knapsack problem. J. Heuristics (1998) 4:63–86CrossrefGoogle Scholar
  • Falkenauer E. A hybrid grouping genetic algorithm for bin packing. J. Heuristics (1996) 2:5–30CrossrefGoogle Scholar
  • Knuth D. E. Estimating the efficiency of backtracking programs. Math. Comput. (1975) 29:121–136CrossrefGoogle Scholar
  • Linderoth J., Savelsbergh M. W. P. A computational study of search strategies for mixed integer programming. (1997) . Report LEC-97-12, School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GAGoogle Scholar
  • Lobjois L., Lemaitre M. Branch-and-bound algorithm selection by performance prediction. (1998) . American Association for Artificial Intelligence, Menlo Park, CAGoogle Scholar
  • Mittelmann H. D. MILPlib (Testcases for MILP). (2003) . available at, ftp://plato.asu.edu/pub/milp/. Retrieval date: February 26, 2003Google Scholar
  • Nemhauser G. L., Wolsey L. A.Integer and Combinatorial Optimization (1988) (John Wiley and Sons, New York) CrossrefGoogle Scholar
  • Purdom P. W. Tree size by partial backtracking. SIAM J. Comput. (1978) 7:481–491CrossrefGoogle Scholar
  • Wolsey L. A.Integer Programming (1998) (John Wiley and Sons, New York) Google Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.