Market Split and Basis Reduction: Towards a Solution of the Cornuéjols-Dawande Instances

References

  • Aardal K., Hurkens C., Lenstra A.K. Solving a system of linear diophantine equations with lower and upper bounds on the variables. (1998) . Research report UU-CS-1998-36, Department of Computer Science, Utrecht University, Utrecht, The Netherlands. To appear in Mathematics of Operations ResearchGoogle Scholar
  • Aardal K., Weismantel R., Wolsey L.A. Non-standard approaches to integer programming. (1999) . Research report UU-CS-1999-41, Department of Computer Science, Utrecht University, Utrecht, The NetherlandsGoogle Scholar
  • Cornuéjols G., Dawande M., Bixby R.E., Boyd E.A., Ríos-Mercado R.Z. A class of hard small 0-1 programs. Integer Programming and Combinatorial Optimization, 6th International IPCO Conference (1998) (lecture notes in Computer Science 1412, Springer-Verlag, Berlin) 284–293CrossrefGoogle Scholar
  • CPLEX 6.0 Documentation Supplement ILOG Inc.. (1998) (CPLEX Division, Incline Village, NV) Google Scholar
  • CPLEX 6.5 Documentation Supplement ILOG Inc.. (1999) (CPLEX Division, Incline Village, NV) Google Scholar
  • Grimmett G.R., Stirzaker D.R.Probability and Random Processes (1982) (Oxford University Press, Oxford, United Kingdom) Google Scholar
  • Lenstra A.K., Lenstra H.W., Lovász L. Factoring polynomials with rational coefficients. Mathematische Annalen (1982) 261:515–534CrossrefGoogle Scholar
  • Lenstra H.W. Integer programming with a fixed number of variables. Mathematics of Operations Research (1983) 8:538–548LinkGoogle Scholar
  • LiDIA-A library for computational number theoryTH Darmstadt/Universität des Saarlandes, Fachbereich Informatik, Institut für Theoretische Informatik, Darmstadt, Germany. http://www.informatik. th-darmstadt.de/pub/TI/LiDIAGoogle Scholar
  • Lovász L., Scarf H.E. The generalized basis reduction algorithm. Mathematics of Operations Research (1992) 17:751–764LinkGoogle Scholar
  • MIPLIB. Rice University, Houston, TX. http://www.caam.rice.edu/~bixby/miplib/miplib3.htmlGoogle Scholar
  • Schrijver A.Theory of Linear and Integer Programming (1986) (Wiley, Chichester, United Kingdom) Google Scholar
  • Verweij A.M.The UHFCO Library (1998) (Department of Computer Science, Utrecht University, Utrecht, The Netherlands) Google Scholar
  • Williams H.P.Model Building in Mathematical Programming (1978) (Wiley, Chichester, United Kingdom) 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.