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3 - Rounding, Propagation and Diving

Published online by Cambridge University Press:  04 April 2025

Timo Berthold ,
Andrea Lodi  and
Domenico Salvagnin
Timo Berthold
Affiliation:
FICO
Andrea Lodi
Affiliation:
Cornell Tech
Domenico Salvagnin
Affiliation:
Università degli Studi di Padova, Italy
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Summary

This chapter reviews the a large family of relatively cheap primal heuristics that generally try to convert infeasible solutions obtained by solving the continuous relaxation of a MIP into feasible solutions. The review is conducted by following three main concepts, namely that of rounding a fractional point to an integer one, that of propagating the logical implication of a decision on a variable to other variables, and that of diving, i.e., sequentially make decisions on variables. The combinations of these concepts are extensively analyzed.

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Primal Heuristics in Integer Programming , pp. 47 - 58
Publisher: Cambridge University Press
Print publication year: 2025

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