Publication Date:
2023-11-03
Description:
The last milestone achievement for the roundoff-error-free solution of general
mixed integer programs over the rational numbers was a hybrid-precision
branch-and-bound algorithm published by Cook, Koch, Steffy, and Wolter in 2013.
We describe a substantial revision and extension of this framework that
integrates symbolic presolving, features an exact repair step for solutions from
primal heuristics, employs a faster rational LP solver based on LP iterative
refinement, and is able to produce independently verifiable certificates of
optimality.
We study the significantly improved performance and give insights into the
computational behavior of the new algorithmic components.
On the MIPLIB 2017 benchmark set, we observe an average speedup of
6.6x over the original framework and 2.8
times as many instances solved within a time limit of two hours.
Language:
English
Type:
article
,
doc-type:article
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