Skip to main content
Log in

Inverse integer programming

  • Original Paper
  • Published:
Optimization Letters Aims and scope Submit manuscript

Abstract

We consider the integer programming version of inverse optimization. Using superadditive duality, we provide a polyhedral description of the set of inverse-feasible objectives. We then describe two algorithmic approaches for solving the inverse integer programming problem.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ahuja R.K., Orlin J.B.: Inverse optimization. Oper. Res. 49(5), 771–783 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  2. Cai M.C., Yang X.G., Zhang J.Z.: The complexity analysis of the inverse center location problem. J. Global Optim. 15(2), 213–218 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  3. Francis R.L., McGinnis L.F. Jr, White J.A.: Facility Layout and Location: an Analytical Approach. Prentice Hall, Englewood Cliffs (1992)

    Google Scholar 

  4. Hartmann, M.E.: Cutting planes and the complexity of the integer hull. Ph.D thesis, Cornell University (1988)

  5. Heuberger C.: Inverse combinatorial optimization: a survey on problems, methods and results. J. Comb. Optim. 8(3), 329–361 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  6. Huang, S.: Inverse problems of some \({\mathcal{NP}}\) -complete problems. In: Lecture Notes in Computer Science, vol. 3251, pp. 422–426. Springer, Heidelberg (2005)

  7. Nemhauser G.L., Wolsey L.A.: Integer and Combinatorial Optimization. Wiley, New York (1988)

    MATH  Google Scholar 

  8. Zhang J., Liu Z.: Calculating some inverse linear programming problems. J. Comput. Appl. Math. 72(2), 261–273 (1996)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrew J. Schaefer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schaefer, A.J. Inverse integer programming. Optim Lett 3, 483–489 (2009). https://doi.org/10.1007/s11590-009-0131-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11590-009-0131-z

Keywords

Navigation