A state-of-the-art on production planning in Industry 4.0

D Luo, S Thevenin, A Dolgui - International Journal of Production …, 2023 - Taylor & Francis
The Industry 4.0 revolution is changing the manufacturing landscape. A broad set of new
technologies emerged (including software and connected equipment) that digitise …

Integer programming games: a gentle computational overview

M Carvalho, G Dragotto, A Lodi… - … the Frontiers of OR …, 2023 - pubsonline.informs.org
In this tutorial, we present a computational overview on computing Nash equilibria in integer
programming games (IPGs), that is, how to compute solutions for a class of noncooperative …

Computing equilibria for integer programming games

M Carvalho, A Lodi, JP Pedroso - European Journal of Operational …, 2022 - Elsevier
The recently-defined class of integer programming games (IPG) models situations where
multiple self-interested decision makers interact, with their strategy sets represented by a …

The Cut-and-Play Algorithm: Computing Nash Equilibria via Outer Approximations

M Carvalho, G Dragotto, A Lodi… - arXiv preprint arXiv …, 2021 - arxiv.org
We introduce the Cut-and-Play, an efficient algorithm for computing equilibria in
simultaneous non-cooperative games where players solve nonconvex and possibly …

When nash meets stackelberg

M Carvalho, G Dragotto, F Feijoo, A Lodi… - Management …, 2024 - pubsonline.informs.org
This article introduces a class of Nash games among Stackelberg players (NASPs), namely,
a class of simultaneous noncooperative games where the players solve sequential …

Integration of Sales and Operations: A Dynamic Mixed-Integer Programming Game

C Telha, M Carvalho - Dynamic Games and Applications, 2024 - Springer
We define a framework to investigate and assess the impact of prompt and dynamic
reactions to market competition in production planning problems. It depicts two firms that …

Algorithms for Finding the Best Pure Nash Equilibrium in Edge-weighted Budgeted Maximum Coverage Games

H Lee, R Hildebrand, W Cai… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper introduces a new integer programming game (IPG) named the Edge-weighted
Budgeted Maximum Coverage (EBMC) game and proposes a new algorithm, the Best …

[HTML][HTML] Unitary Owen points in cooperative lot-sizing models with backlogging

LA Guardiola, A Meca, J Puerto - Mathematics, 2021 - mdpi.com
This paper analyzes cost sharing in uncapacitated lot-sizing models with backlogging and
heterogeneous costs. It is assumed that several firms participate in a consortium aiming at …

Decision-Making in Competitive Environments: Computation, Selection and Inverse Optimization of Nash Equilibria in Mathematical Programming Games

T Crönert - 2023 - mediatum.ub.tum.de
We model simultaneous, non-cooperative decision making in finite games in a mathematical
programming representation. The predominant solution concept for a finite game is the …

[PDF][PDF] Unitary Owen Points in Cooperative Lot-Sizing Models with Backlogging. Mathematics 2021, 9, 869

LA Guardiola, A Meca, J Puerto - 2021 - academia.edu
This paper analyzes cost sharing in uncapacitated lot-sizing models with backlogging and
heterogeneous costs. It is assumed that several firms participate in a consortium aiming at …