English
Related papers

Related papers: New commodity representations for multicommodity n…

200 papers

The pooling problem is an important industrial problem in the class of network flow problems for allocating gas flow in pipeline transportation networks. For P-formulation of the pooling problem with time discretization, we propose second…

Optimization and Control · Mathematics 2018-04-10 Masaki Kimizuka , Sunyoung Kim , Makoto Yamashita

In this paper we introduce a new problem in the field of production planning which we call the Production Leveling Problem. The task is to assign orders to production periods such that the load in each period and on each production resource…

Artificial Intelligence · Computer Science 2020-06-17 Johannes Vass , Marie-Louise Lackner , Nysret Musliu

This paper considers the generalized maximal covering location problem (GMCLP) which establishes a fixed number of facilities to maximize the weighted sum of the covered customers, allowing customer weights to be positive or negative. Due…

Optimization and Control · Mathematics 2025-05-12 Wei Lv , Cheng-Yang Yu , Jie Liang , Wei-Kun Chen , Yu-Hong Dai

Model reduction, which aims to learn a simpler model of the original mixed integer linear programming (MILP), can solve large-scale MILP problems much faster. Most existing model reduction methods are based on variable reduction, which…

Machine Learning · Computer Science 2026-02-04 Jiajun Li , Yixuan Li , Ran Hou , Yu Ding , Shisi Guan , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

This research investigates a multi-product capacitated lot-sizing and scheduling problem incorporating a novel learning effect, namely the period-based learning effect. This is inspired by a real case in a core analysis laboratory under a…

Optimization and Control · Mathematics 2025-01-10 Mohammad Rohaninejad , Behdin Vahedi-Nouri , Reza Tavakkoli-Moghaddam , Zdeněk Hanzálek

We address the solution of Mixed Integer Linear Programming (MILP) models with strong relaxations that are derived from Dantzig-Wolfe decompositions and allow a pseudo-polynomial pricing algorithm. We exploit their network-flow…

Optimization and Control · Mathematics 2021-06-01 Vinícius L. de Lima , Manuel Iori , Flávio K. Miyazawa

Middle-mile logistics describes the problem of routing parcels through a network of hubs linked by trucks with finite capacity. We rephrase this as a multi-object goal-conditioned MDP. Our method combines graph neural networks with…

Machine Learning · Statistics 2026-05-05 Onno Eberhard , Thibaut Cuvelier , Michal Valko , Bruno De Backer

Load balancing and auto scaling are at the core of scalable, contemporary systems, addressing dynamic resource allocation and service rate adjustments in response to workload changes. This paper introduces a novel model and algorithms for…

Systems and Control · Electrical Eng. & Systems 2024-06-21 S. R. Eshwar , Lucas Lopes Felipe , Alexandre Reiffers-Masson , Daniel Sadoc Menasché , Gugan Thoppe

With the current high levels of energy consumption of data centers, reducing power consumption by even a small percentage is beneficial. We propose a framework for thermal-aware workload distribution in a data center to reduce cooling power…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Somayye Rostami , Douglas G. Down , George Karakostas

The paper considers the problem of scheduling software modules on a multi-core processor, taking into account the limited bandwidth of the data bus and the precedence constraints. Two problem formulations with different levels of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-02 Anton V. Eremeev , Anton A. Malakhov , Maxim A. Sakhno , Maria Y. Sosnovskaya

We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

Optimization and Control · Mathematics 2025-12-04 Stefan Clarke , Bartolomeo Stellato

Scheduling multiple products with limited resources and varying demands remain a critical challenge for many industries. This work presents mixed integer programs (MIPs) that solve the Economic Lot Sizing Problem (ELSP) and other Dynamic…

Optimization and Control · Mathematics 2020-04-07 Wolfgang Garn

In this work, we consider the dynamic unsplittable flow problem. This variation of the unsplittable flow problem has received little attention so far. The unsplittable flow problem is an NP-hard extension of the multi-commodity flow problem…

Optimization and Control · Mathematics 2023-03-29 François Lamothe , Emmanuel Rachelson , Alain Haït , Cédric Baudoin , Jean-Baptiste Dupé

This paper addresses the problem of planning time-optimal trajectories for multiple cooperative agents along specified paths through a static road network. Vehicle interactions at intersections create non-trivial decisions, with complex…

Robotics · Computer Science 2018-10-08 Philip Gun , Andrew Hill , Robin Vujanic

This paper introduces a novel compact mixed integer linear programming (MILP) formulation and a discretization discovery-based solution approach for the Vehicle Routing Problem with Time Windows (VRPTW). We aim to solve the optimization…

Optimization and Control · Mathematics 2024-03-04 Udayan Mandal , Amelia Regan , Louis Martin Rousseau , Julian Yarkony

We study a class of dynamical multi-commodity flow networks in transportation networks. These are modeled as dynamical systems describing the evolution of the densities of a number of different commodities across the cells of a…

Dynamical Systems · Mathematics 2025-08-26 Davide Sipione , Giacomo Como

Mixed-integer programming (MIP) extends linear programming by incorporating both continuous and integer decision variables, making it widely used in production planning, logistics scheduling, and resource allocation. However, MIP remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Jinyu Zhang , Di Huang , Yue Liu , Shuo Wang , Zhenyu Pu , Zhiyuan Liu

This paper develops an exact solution framework for the choice-based time slot management problem under mixed logit demand in attended home delivery systems. The problem jointly optimizes delivery slot offerings, price discounts, and…

Optimization and Control · Mathematics 2026-05-12 Dorsa Abdolhamidi , Carla Juvin , Virginie Lurkin

We propose a methodology at the nexus of operations research and machine learning (ML) leveraging generic approximators available from ML to accelerate the solution of mixed-integer linear two-stage stochastic programs. We aim at solving…

Optimization and Control · Mathematics 2022-06-14 Eric Larsen , Emma Frejinger , Bernard Gendron , Andrea Lodi

This paper proposes a novel reinforcement learning framework to address the Liner Shipping Network Design Problem (LSNDP), a challenging combinatorial optimization problem focused on designing cost-efficient maritime shipping routes.…

Artificial Intelligence · Computer Science 2024-11-15 Utsav Dutta , Yifan Lin , Zhaoyang Larry Jin