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Integer programming (IP), as the name suggests is an integer-variable-based approach commonly used to formulate real-world optimization problems with constraints. Currently, quantum algorithms reformulate the IP into an unconstrained form…

量子物理 · 物理学 2024-07-31 Kapil Goswami , Peter Schmelcher , Rick Mukherjee

Integer programming (IP) has proven to be highly effective in solving many path-based optimization problems in robotics. However, the applications of IP are generally done in an ad-hoc, problem specific manner. In this work, after examined…

机器人学 · 计算机科学 2019-03-04 Shuai D. Han , Jingjin Yu

Cutting planes are crucial for the performance of branch-and-cut algorithms for solving mixed-integer programming (MIP) problems, and linear row aggregation has been successfully applied to better leverage the potential of several major…

最优化与控制 · 数学 2025-02-05 Liding Xu , Gioni Mexi , Ksenia Bestuzheva

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

最优化与控制 · 数学 2018-11-02 William Pettersson , Melih Ozlen

Future Internet of things (IoT) networks will host applications that involve data collection and computation tasks on one or more servers. To this end, this paper proposes the first mixed integer linear program (MILP) to schedule and embed…

网络与互联网体系结构 · 计算机科学 2026-05-25 Junfei Zhan , Tengjiao He , Kwan-Wu Chin , Benyu Chen , Fei Song

We propose a new exact approach for solving integer linear programming (ILP) problems which we will call projective splitting algorithms (PSAs). Unlike classical methods for solving ILP problems, PSAs conduct the search for the optimal…

最优化与控制 · 数学 2014-04-16 Federico Rodes , Isabel Mendez-Diaz , Paula Zabala

Almost climate neutral buildings are one of the core goals in terms of sustainability. Beside the support of the necessary design decisions for an integrated, interoperable, ecological and economical operation of building energy systems,…

系统与控制 · 电气工程与系统科学 2019-10-17 Armin Wolf

This study examined the use of machine learning and domain specific enrichment on patient generated health data, in the form of free text meal logs, to classify meals on alignment with different nutritional goals. We used a dataset of over…

机器学习 · 计算机科学 2025-09-09 Guanlan Hu , Adit Anand , Pooja M. Desai , Iñigo Urteaga , Lena Mamykina

Cutting plane methods play a significant role in modern solvers for tackling mixed-integer programming (MIP) problems. Proper selection of cuts would remove infeasible solutions in the early stage, thus largely reducing the computational…

最优化与控制 · 数学 2021-10-11 Zeren Huang , Kerong Wang , Furui Liu , Hui-ling Zhen , Weinan Zhang , Mingxuan Yuan , Jianye Hao , Yong Yu , Jun Wang

We propose the formulation of convex Generalized Disjunctive Programming (GDP) problems using conic inequalities leading to conic GDP problems. We then show the reformulation of conic GDPs into Mixed-Integer Conic Programming (MICP)…

最优化与控制 · 数学 2024-02-20 David E. Bernal Neira , Ignacio E. Grossmann

In recent years, numerous vision and learning tasks have been (re)formulated as nonconvex and nonsmooth programmings(NNPs). Although some algorithms have been proposed for particular problems, designing fast and flexible optimization…

计算机视觉与模式识别 · 计算机科学 2017-07-03 Yiyang Wang , Risheng Liu , Xiaoliang Song , Zhixun Su

Mixed Integer Programming (MIP) is NP-hard, and yet modern solvers often solve large real-world problems within minutes. This success can partially be attributed to heuristics. Since their behavior is highly instance-dependent, relying on…

最优化与控制 · 数学 2023-04-10 Antonia Chmiela , Ambros Gleixner , Pawel Lichocki , Sebastian Pokutta

Considering the evolution of the food industry and its challenges, like high perishability, managing the food industry supply chain is a key focus for researchers and decision-makers. Uncertainty in decision-making has gained importance,…

最优化与控制 · 数学 2024-06-11 Babak Javadi , Zeinab Salimzadeh , Amir Hossein Akbari , Mahla Yadegari , Mohammadreza Abdali

Mixed-integer rounding (MIR) cutting planes (cuts) are effective at improving the strength of a linear relaxation for mixed-integer linear programming (MIP) problems. The cuts in this family are derived by aggregating constraints then…

最优化与控制 · 数学 2024-12-16 Oscar Guaje , Arnaud Deza , Aleksandr M. Kazachkov , Elias B. Khalil

One-way car-sharing systems are transportation systems that allow customers to rent cars at stations scattered around the city, use them for a short journey, and return them at any station. The maximum customers' satisfaction problem…

人工智能 · 计算机科学 2020-08-18 Welverton R. Silva , Rafael C. S. Schouery

The Multi-Objective Mixed-Integer Programming (MOMIP) problem is one of the most challenging. To derive its Pareto optimal solutions one can use the well-known Chebyshev scalarization and Mixed-Integer Programming (MIP) solvers. However,…

最优化与控制 · 数学 2024-01-02 Grzegorz Filcek , Janusz Miroforidis

Precision tuning or customized precision number representations is emerging, in these recent years, as one of the most promising techniques that has a positive impact on the footprint of programs concerning energy consumption, bandwidth…

软件工程 · 计算机科学 2022-03-16 Dorra Ben Khalifa , Matthieu Martel

Integer programming is concerned with solving linear systems of equations over the non-negative integers. The basic question is to find a solution which minimizes a given linear objective function for a fixed right hand side. Here we also…

最优化与控制 · 数学 2007-05-23 Bernd Sturmfels

Mixed Integer Programming (MIP) has been extensively applied in areas requiring mathematical solvers to address complex instances within tight time constraints. However, as the problem scale increases, the complexity of model formulation…

计算与语言 · 计算机科学 2024-09-19 Teng Wang , Wing-Yin Yu , Ruifeng She , Wenhan Yang , Taijie Chen , Jianping Zhang

Mixed integer linear programming (MILP) is a powerful tool for planning and control problems because of its modeling capability and the availability of good solvers. However, for large models, MILP methods suffer computationally. In this…

机器人学 · 计算机科学 2007-05-23 Matthew Earl , Raffaello D'Andrea