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Feasibility pump (FP) is a successful primal heuristic for mixed-integer linear programs (MILP). The algorithm consists of three main components: rounding fractional solution to a mixed-integer one, projection of infeasible solutions to the…

Optimization and Control · Mathematics 2016-09-27 Santanu S. Dey , Andres Iroume , Marco Molinaro , Domenico Salvagnin

The feasibility pump algorithm is an efficient primal heuristic for finding feasible solutions to mixed-integer programming problems. The algorithm suffers mainly from fast convergence to local optima. In this paper, we investigate the…

Optimization and Control · Mathematics 2019-06-18 Nicolas Pradignac , Maliheh Aramon , Helmut G. Katzgraber

Although nearly 20 years have passed since its conception, the feasibility pump algorithm remains a widely used heuristic to find feasible primal solutions to mixed-integer linear problems. Many extensions of the initial algorithm have been…

Optimization and Control · Mathematics 2024-11-07 Matteo Cacciola , Alexandre Forel , Antonio Frangioni , Andrea Lodi

Feasibility pumps are highly effective primal heuristics for mixed-integer linear and nonlinear optimization. However, despite their success in practice there are only few works considering their theoretical properties. We show that…

Optimization and Control · Mathematics 2017-08-01 Björn Geißler , Antonio Morsi , Lars Schewe , Martin Schmidt

Minimizing the number of reshuffling operations at maritime container terminals incorporates the Pre-Marshalling Problem (PMP) as an important problem. Based on an analysis of existing solution approaches we develop new heuristics utilizing…

Artificial Intelligence · Computer Science 2015-11-17 Raka Jovanovic , Milan Tuba , Stefan Voss

This paper is a short report about our work for the primal task in the Machine Learning for Combinatorial Optimization NeurIPS 2021 Competition. For each dataset of our interest in the competition, we propose customized primal heuristic…

Optimization and Control · Mathematics 2022-02-08 Akang Wang , Linxin Yang , Sha Lai , Xiaodong Luo , Xiang Zhou , Haohan Huang , Shengcheng Shao , Yuanming Zhu , Dong Zhang , Tao Quan

The experimental evaluation of algorithms results in a large set of data which generally do not follow a normal distribution or are not heteroscedastic. Besides, some of its entries may be missing, due to the inability of an algorithm to…

Machine Learning · Computer Science 2019-08-16 Iago A Carvalho

Primal heuristics play a crucial role in quickly finding feasible solutions for NP-hard integer linear programming (ILP). Although $\textit{end-to-end learning}$-based primal heuristics (E2EPH) have recently been proposed, they are…

Machine Learning · Computer Science 2026-05-13 Tae-Hoon Lee , Min-Soo Kim

We present a method to apply heuristic search algorithms to solve rearrangement planning by pushing problems. In these problems, a robot must push an object through clutter to achieve a goal. To do this, we exploit the fact that contact…

Robotics · Computer Science 2016-03-30 Jennifer E. King , Siddhartha S. Srinivasa

We address prehensile pushing, the problem of manipulating a grasped object by pushing against the environment. Our solution is an efficient nonlinear trajectory optimization problem relaxed from an exact mixed integer non-linear trajectory…

Robotics · Computer Science 2025-03-19 Patrizio Perugini , Jens Lundell , Katharina Friedl , Danica Kragic

The Steiner Team Orienteering Problem (STOP) is defined on a digraph in which arcs are associated with traverse times, and whose vertices are labeled as either mandatory or profitable, being the latter provided with rewards (profits). Given…

Optimization and Control · Mathematics 2021-01-06 Lucas Assunção , Geraldo Robson Mateus

Semi-continuous decision variables arise naturally in many real-world applications. They are defined to take either value zero or any value within a specified range, and occur mainly to prevent small nonzero values in the solution. One…

Optimization and Control · Mathematics 2024-10-17 Katrin Halbig , Alexander Hoen , Ambros Gleixner , Jakob Witzig , Dieter Weninger

The two-dimensional non-oriented bin packing problem with due dates packs a set of rectangular items, which may be rotated by 90 degrees, into identical rectangular bins. The bins have equal processing times. An item's lateness is the…

Data Structures and Algorithms · Computer Science 2017-11-09 S. Polyakovskiy , R. M'Hallah

Non-prehensile pushing actions have the potential to singulate a target object from its surrounding clutter in order to facilitate the robotic grasping of the target. To address this problem we utilize a heuristic rule that moves the target…

Robotics · Computer Science 2022-09-27 Marios Kiatos , Iason Sarantopoulos , Sotiris Malassiotis , Zoe Doulgeri

We develop a novel primal heuristic for nonconvex Mixed-Integer Quadratically Constrained Quadratic Programs (MIQCQPs). The method is built around a convex approximation that is dynamically adjusted within a feasibility-pump-style…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai , Chen Chen

Autonomous manipulation of powders remains a significant challenge for robotic automation in scientific laboratories. The inherent variability and complex physical interactions of powders in flow, coupled with variability in laboratory…

Robotics · Computer Science 2025-06-06 Nikola Radulov , Alex Wright , Thomas Little , Andrew I. Cooper , Gabriella Pizzuto

We focus on the problem of rearranging a set of objects with a team of car-like robot pushers built using off-the-shelf components. Maintaining control of pushed objects while avoiding collisions in a tight space demands highly coordinated…

We present a new algorithm for probabilistic planning with no observability. Our algorithm, called Probabilistic-FF, extends the heuristic forward-search machinery of Conformant-FF to problems with probabilistic uncertainty about both the…

Artificial Intelligence · Computer Science 2011-11-02 C. Domshlak , J. Hoffmann

We present a solver for Mixed Integer Programs (MIP) developed for the MIP competition 2022. Given the 10 minutes bound on the computational time established by the rules of the competition, our method focuses on finding a feasible solution…

Artificial Intelligence · Computer Science 2022-06-22 Warley Almeida Silva , Federico Bobbio , Flore Caye , Defeng Liu , Justine Pepin , Carl Perreault-Lafleur , William St-Arnaud

In recent years, mixup regularization has gained popularity as an effective way to improve the generalization performance of deep learning models by training on convex combinations of training data. While many mixup variants have been…

Machine Learning · Computer Science 2025-06-16 Yousef El-Laham , Niccolò Dalmasso , Svitlana Vyetrenko , Vamsi K. Potluru , Manuela Veloso
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