References

The implementation of idol is based on a lot of scientific publications. Here is a selected subset.

[1]

Tobias Achterberg, Thorsten Koch, and Alexander Martin. Branching rules revisited. Operations Research Letters, 33(1):42–54, 2005. doi:https://doi.org/10.1016/j.orl.2004.04.002.

[2]

Josette Ayoub and Michael Poss. Decomposition for adjustable robust linear optimization subject to uncertainty polytope. Computational Management Science, 13(2):219–239, February 2016. URL: http://dx.doi.org/10.1007/s10287-016-0249-2, doi:10.1007/s10287-016-0249-2.

[3]

Daniel Baena, Jordi Castro, and Antonio Frangioni. Stabilized benders methods for large-scale combinatorial optimization, with application to data privacy. Management Science, 66(7):3051–3068, July 2020. URL: http://dx.doi.org/10.1287/mnsc.2019.3341, doi:10.1287/mnsc.2019.3341.

[4]

Timo Berthold. Primal heuristics for mixed integer programs. Master's thesis, Technische Universität Berlin, 2006.

[5]

George B. Dantzig and Philip Wolfe. The decomposition algorithm for linear programs. Econometrica, 29(4):767, October 1961. doi:10.2307/1911818.

[6]

Elizabeth D. Dolan and Jorge J. Moré. Benchmarking optimization software with performance profiles. Mathematical Programming, 91(2):201–213, Jan 2002. doi:10.1007/s101070100263.

[7]

J. J. H. Forrest, J. P. H. Hirst, and J. A. Tomlin. Practical solution of large mixed integer programming problems with umpire. Management Science, 20(5):736–773, January 1974. doi:10.1287/mnsc.20.5.736.

[8]

missing school in Kleinert2021

[9]

J. T. Linderoth and M. W. P. Savelsbergh. A computational study of search strategies for mixed integer programming. INFORMS Journal on Computing, 11(2):173–187, May 1999. doi:10.1287/ijoc.11.2.173.

[10]

James T. Moore and Jonathan F. Bard. The mixed integer linear bilevel programming problem. Operations Research, 38(5):911–921, October 1990. URL: http://dx.doi.org/10.1287/opre.38.5.911, doi:10.1287/opre.38.5.911.

[11]

A. Pessoa, R. Sadykov, E. Uchoa, and F. Vanderbeck. Automation and combination of linear-programming based stabilization techniques in column generation. INFORMS Journal on Computing, 30(2):339–360, May 2018. doi:10.1287/ijoc.2017.0784.

[12]

François Vanderbeck. Implementing Mixed Integer Column Generation, pages 331–358. Springer US, Boston, MA, 2005. doi:10.1007/0-387-25486-2_12.

[13]

Laurence Wolsey. Integer Programming. Wiley, September 2020. doi:10.1002/9781119606475.

[14]

Bo Zeng and Long Zhao. Solving two-stage robust optimization problems using a column-and-constraint generation method. Operations Research Letters, 41(5):457–461, 2013. doi:10.1016/j.orl.2013.05.003.