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524. Modelling of piece-wise linear concave constraints in continous covering problems

Invited abstract in session TC-4: Recent Advances in MINLP, stream MINLP.

Tuesday, 12:30-14:00
Room: 1001 (building: 202)

Authors (first author is the speaker)

1. Liding Xu
LIX, École Polytechnique
2. Claudia D'Ambrosio
LIX, CNRS - Ecole Polytechnique

Abstract

We study continuous set covering on networks. The covering condition has a representation as a piece-wise linear concave constraint, which we formulate as a disjunctive system. We propose three MILP reformulations based on indicator constraint, big-M, and disjunctive programming techniques to formulate the disjunctive system. We classify new and old formulations and conduct experiments to compare them.

Keywords

Status: accepted


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