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Propagation of linear constraints has become a crucial sub-routine in modern Mixed-Integer Programming (MIP) solvers. In practice, iterative algorithms with tolerance-based stopping criteria are used to avoid problems with slow or infinite…

Optimization and Control · Mathematics 2021-08-25 Boro Sofranac , Ambros Gleixner , Sebastian Pokutta

We study the shipper-side design of large-scale inbound transportation networks, motivated by the global supply chain of the carmaker Renault. We formalize the Shipper Transportation Planning Problem (STPP), which integrates discrete flow…

Optimization and Control · Mathematics 2026-04-03 Mathis Brichet , Maximilian Schiffer , Axel Parmentier

With the rise of e-commerce and increasing customer requirements, logistics service providers face a new complexity in their daily planning, mainly due to efficiently handling same day deliveries. Existing multi-stage stochastic…

Optimization and Control · Mathematics 2023-04-04 Léo Baty , Kai Jungel , Patrick S. Klein , Axel Parmentier , Maximilian Schiffer

In traditional assembly lines, it is reasonable to assume that task execution times are the same for each worker. However, in sheltered work centres for disabled this assumption is not valid: some workers may execute some tasks considerably…

Artificial Intelligence · Computer Science 2013-08-05 Leonardo Borba , Marcus Ritt

Modern data analytical workloads often need to run queries over a large number of tables. An optimal query plan for such queries is crucial for being able to run these queries within acceptable time bounds. However, with queries involving…

Databases · Computer Science 2022-03-02 Riccardo Mancini , Srinivas Karthik , Bikash Chandra , Vasilis Mageirakos , Anastasia Ailamaki

Hybrid variations of metaheuristics that include data mining strategies have been utilized to solve a variety of combinatorial optimization problems, with superior and encouraging results. Previous hybrid strategies applied mined patterns…

Artificial Intelligence · Computer Science 2020-05-25 Marcelo Rodrigues de Holanda Maia , Alexandre Plastino , Puca Huachi Vaz Penna

The Vehicle Routing Problem (VRP) is one of the most intensively studied combinatorial optimisation problems for which numerous models and algorithms have been proposed. To tackle the complexities, uncertainties and dynamics involved in…

We introduce a combinatorial optimization-enriched machine learning pipeline and a novel learning paradigm to solve inventory routing problems with stochastic demand and dynamic inventory updates. After each inventory update, our approach…

Optimization and Control · Mathematics 2024-02-08 Toni Greif , Louis Bouvier , Christoph M. Flath , Axel Parmentier , Sonja U. K. Rohmer , Thibaut Vidal

The article proposes a heuristic approximation approach to the bin packing problem under multiple objectives. In addition to the traditional objective of minimizing the number of bins, the heterogeneousness of the elements in each bin is…

Artificial Intelligence · Computer Science 2008-09-05 Martin Josef Geiger

Mixed Integer Programming (MIP) is one of the most widely used modeling techniques for combinatorial optimization problems. In many applications, a similar MIP model is solved on a regular basis, maintaining remarkable similarities in model…

Artificial Intelligence · Computer Science 2019-09-10 Jian-Ya Ding , Chao Zhang , Lei Shen , Shengyin Li , Bing Wang , Yinghui Xu , Le Song

Efficient management of aircraft MRO hangars requires the integration of spatial layout with time-continuous scheduling to minimize operational costs. We propose a continuous-time mixed-integer linear program that jointly optimizes aircraft…

Optimization and Control · Mathematics 2025-09-09 Shayan Farhang Pazhooh , Hossein Shams Shemirani

Mixed Integer Linear Programming (MILP) is a fundamental tool for modeling combinatorial optimization problems. Recently, a growing body of research has used machine learning to accelerate MILP solving. Despite the increasing popularity of…

Machine Learning · Computer Science 2024-10-29 Weimin Huang , Taoan Huang , Aaron M Ferber , Bistra Dilkina

Mixed Binary Quadratic Programs (MBQPs) are an important and complex set of problems in combinatorial optimization. As solving large-scale combinatorial optimization problems is challenging, primal heuristics have been developed to quickly…

Machine Learning · Computer Science 2026-04-28 Weimin Huang , Natalie M. Isenberg , Ján Drgoňa , Draguna L Vrabie , Bistra Dilkina

This work deals with a class of problems under interval data uncertainty, namely interval robust-hard problems, composed of interval data min-max regret generalizations of classical NP-hard combinatorial problems modeled as 0-1 integer…

Data Structures and Algorithms · Computer Science 2016-12-21 Lucas Assunção , Thiago F. Noronha , Andréa Cynthia Santos , Rafael Andrade

The Mixed-Shelves Picker Routing Problem (MSPRP) is a fundamental challenge in warehouse logistics, where pickers must navigate a mixed-shelves environment to retrieve SKUs efficiently. Traditional heuristics and optimization-based…

Multiagent Systems · Computer Science 2025-02-17 Laurin Luttmann , Lin Xie

Instant food delivery has become one of the most popular web services worldwide due to its convenience in daily life. A fundamental challenge is accurately predicting courier routes to optimize task dispatch and improve delivery efficiency.…

Artificial Intelligence · Computer Science 2025-05-20 Chang Liu , Huan Yan , Hongjie Sui , Haomin Wen , Yuan Yuan , Yuyang Han , Hongsen Liao , Xuetao Ding , Jinghua Hao , Yong Li

This paper develops a computationally efficient algorithm for the Multiple Vehicle Pickup and Delivery Problem (MVPDP) with the objective of minimizing the tour cost incurred while completing the task of pickup and delivery of customers. To…

Optimization and Control · Mathematics 2018-05-15 Jinsun Liu , Hyongju Park , Matthew Johnson-Roberson , Ram Vasudevan

Mixed-Integer Programs (MIPs) are NP-hard optimization models that arise in a broad range of decision-making applications, including finance, logistics, energy systems, and network design. Although modern commercial solvers have achieved…

We study the problem of optimal multi-robot path planning on graphs MPP over four distinct minimization objectives: the makespan (last arrival time), the maximum (single-robot traveled) distance, the total arrival time, and the total…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Steven M. LaValle

A mathematical programming model for a class of single machine family scheduling problem is described in this technical report, with the aim of comparing the performance in solving the scheduling problem by means of mathematical programming…

Optimization and Control · Mathematics 2015-03-03 Davide Giglio