Nonconvex piecewise linear functions: Advanced formulations and simple modeling tools

J Huchette, JP Vielma - Operations Research, 2023 - pubsonline.informs.org
We present novel mixed-integer programming (MIP) formulations for optimization over
nonconvex piecewise linear functions. We exploit recent advances in the systematic …

Piecewise linear cost network design

A Frangioni, B Gendron - … design with applications to transportation and …, 2021 - Springer
This chapter considers one of the most important extensions to “basic” network design
models required to accurately model real-world applications: the fact that the capacity on the …

Ideal, non-extended formulations for disjunctive constraints admitting a network representation

T Kis, M Horváth - Mathematical Programming, 2022 - Springer
In this paper we reconsider a known technique for constructing strong MIP formulations for
disjunctive constraints of the form x ∈ ⋃ _ i= 1^ m P_i x∈⋃ i= 1 m P i, where the P_i P i are …

Facet separation for disjunctive constraints with network flow representation

P Dobrovoczki, T Kis - Annals of Operations Research, 2024 - Springer
We present a novel algorithm for separating facet-inducing inequalities for the convex-hull of
the union of polytopes representing a disjunctive constraint of special structure. It is required …

Bridging the Gap Between Operations Research and Machine Learning With Decision Trees and Neural Nets

B Alston - 2024 - search.proquest.com
This thesis focuses on bridging the overlap between the fields of Operations Research and
Machine Learning. We do so by providing efficient Mixed Integer Linear Optimization (MILO) …

[图书][B] A Binary Integer Linear Programming Model for Optimizing Underground Stope Layout

T Mensah - 2023 - search.proquest.com
Underground mine planning engineers face significant challenges when determining what
geometry provides the most profitable and safe stope for extraction. Several techniques and …

Gestión óptima de una batería de ion de litio mediante la formulación Zig-Zag para aproximar las funciones de pérdidas no lineales

S Guerrero García - 2024 - repositorio.comillas.edu
Electric storage systems, especially lithium-ion batteries, are pivotal in managing the
variability of renewable energy sources and advancing the electrification of the automotive …

Mixed Integer Programming Approaches for Group Decision Making

HC Iam - 2022 - uwspace.uwaterloo.ca
Group decision making problems are everywhere in our day-to-day lives and have great
influence on the daily operation of companies and institutions. With the recent advances in …