Verifying Integer Programming Results
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VIPR. Verifying Integer Programming Results


VIPR is new a software project to verify, in exact rational arithmetic, the correctness of results computed by mixed-integer linear programming solvers. It is based on an elementary file format for LP-based branch-and-cut certificates proposed in the article

Kevin K.H. Cheung, Ambros Gleixner, and Daniel E. Steffy: Verifying Integer Programming Results. In: F. Eisenbrand and J. Koenemann, eds., Integer Programming and Combinatorial Optimization: 19th International Conference, IPCO 2017, pp. 148-160, 2017, doi:10.1007/978-3-319-59250-3_13.

This repository contains a detailed technical specification of the certificate file format, software to check, display, and compress certificate files, and supplementary information on the computational experiments conducted for the article above.


VIPR currently comes with three C++ programs:

  • viprchk: A program that verifies mixed-integer linear programming certificate files specified in the .vipr file format.
  • viprttn: A program that tightens and improves .vipr files, potentially reducing their size and allowing for easier checking.
  • vipr2html: A program that converts .vipr certificate files to a human readable HTML format (not recommended for large files).

The code should compile with most modern compilers supporting the C++11 standard. Directory code provides a basic makefile. We have successfully built the tools with GNU g++ version 5.4.0 under Ubuntu 16.04.4. It depends on the GNU Multiple Precision library.

File format specification .vipr

A conceptual description of the verified integer programming result (.vipr) file format is given in the article above. A more detailed technical specification is provided here.

A small example is given as paper_eg3.vipr. Certificates for large MIP instances from the literature can be found as part of the supplementary information of the article.


Software for generating .vipr certificates

We have created an extension of the exact rational version of the SCIP optimization software that is able to produce certificates of MIP results.