Algebraic modeling for IP and MIP (GAMS) | Annals of Operations Research Skip to main content
Log in

Algebraic modeling for IP and MIP (GAMS)

  • Published:
Annals of Operations Research Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

References

  • Brimberg, J., P. Hansen, K.-W. Lih, N. Mladenovic, and M. Breton. (2003). “An Oil Pipeline Design Problem.” Operations Research, 51(2), 228–239.

    Article  Google Scholar 

  • Bussieck, M.R. and A. Meeraus. (2003). “General Algebraic Modeling System (GAMS).” In J. Kallrath (Ed.), Modeling Languages in Mathematical Optimization. Kluwer Academic Publishers, pp. 137–157.

  • Cornuéjols, G.P. (2006). “Revival of the Gomory Cuts in the 1990’s.” This Issue State-of-the-Art and Recent Advances in Integer Programming, 2005.

  • GAMS Development. (2004). “The GAMS Branch-and-Cut-and-Heuristic Facility.” http://www.gams.com/docs/bch.htm

  • GAMS Development. bchoil.gms. (2003). “Oil Pipeline Design Problem using BCH Facility.” The GAMS Model Library. http://www.gams.com/modlib/modlib.htm

  • GAMS World. (2004). “Performance World: Fixed Cost Network Flow Library (FCNetLib).” http://www.gamsworld.org/performance/fcnetlib

  • Hoffmann, K.-H., W. Jäger, T. Lohmann, and H. Schunck (Eds). (1997). “Mathematik—Schlüsseltechnologie für die Zukunft.” Springer.

  • Jünger, M. and S. Thienel. (2000). “The ABACUS System for Branch-and-Cut-and-Price Algorithms in Integer Programming and Combinatorial Optimization.” Software: Practice and Experience, 30, 1325–1352.

    Article  Google Scholar 

  • Nemhauser, G.L., M.W.P. Savelsbergh, and G.S. Sigismondi. (1994). “MINTO, a Mixed INTeger Optimizer.” Operations Research Letters, 15, 47–58.

    Article  Google Scholar 

  • Ortega, F. and L. Wolsey. (1993). “A Branch-and-Cut Algorithm for the Single-Commodity, Uncapacitated, Fixed-Charge Network Flow Problem.” Networks, 41(3), 143–158.

    Article  Google Scholar 

  • Preuss, A. (1993). “Mathematiker Sind Oft Die Besseren Ingenieure.” Impulse 5.

  • Tawarmalani, M. and N.V. Sahinidis. (2002). Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming: Theory, Algorithms, Software, and Applications. Kluwer Academic Publishers.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michael R. Bussieck.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bussieck, M.R., Meeraus, A. Algebraic modeling for IP and MIP (GAMS). Ann Oper Res 149, 49–56 (2007). https://doi.org/10.1007/s10479-006-0104-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10479-006-0104-x

Keywords

Navigation