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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…

最优化与控制 · 数学 2022-06-14 Eric Larsen , Emma Frejinger , Bernard Gendron , Andrea Lodi

Attack trees (ATs) are an important tool in security analysis, and an important part of AT analysis is computing metrics. However, metric computation is NP-complete in general. In this paper, we showcase the use of mixed integer linear…

密码学与安全 · 计算机科学 2023-09-12 Milan Lopuhaä-Zwakenberg , Mariëlle Stoelinga

Mixed-integer linear programming (MILP) is widely employed for modeling combinatorial optimization problems. In practice, similar MILP instances with only coefficient variations are routinely solved, and machine learning (ML) algorithms are…

最优化与控制 · 数学 2023-03-07 Qingyu Han , Linxin Yang , Qian Chen , Xiang Zhou , Dong Zhang , Akang Wang , Ruoyu Sun , Xiaodong Luo

This paper presents an algorithmic study of a class of covering mixed-integer linear programming problems which encompasses classic cover problems, including multidimensional knapsack, facility location and supplier selection problems. We…

数据结构与算法 · 计算机科学 2026-02-12 Kobe Grobben , Phablo F. S. Moura , Hande Yaman

A group of satellites, with either homogeneous or heterogeneous orbital characteristics and/or hardware specifications, can undertake a reconfiguration process due to variations in operations pertaining to Earth observation missions. This…

最优化与控制 · 数学 2024-09-06 Hang Woon Lee , Koki Ho

In the Model-Driven Software Engineering (MDSE) community, the combination of techniques operating on graph-based models (e.g., Pattern Matching (PM) and Graph Transformation (GT)) and Integer Linear Programming (ILP) is a common…

软件工程 · 计算机科学 2024-05-16 Sebastian Ehmes , Maximilian Kratz , Andy Schürr

This paper introduces a new public key cryptosystem based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli) and the discrete logarithm problem. These two hard…

密码学与安全 · 计算机科学 2012-09-25 Abdoul Aziz Ciss , Ahmed Youssef Ould Cheikh , Djiby Sow

Mixed Integer Linear Programs (MILPs) are highly flexible and powerful tools for modeling and solving complex real-world combinatorial optimization problems. Recently, machine learning (ML)-guided approaches have demonstrated significant…

人工智能 · 计算机科学 2025-06-13 Junyang Cai , Taoan Huang , Bistra Dilkina

Over the past decade, decision diagrams (DDs) have been used to model and solve integer programming and combinatorial optimization problems. Despite successful performance of DDs in solving various discrete optimization problems, their…

最优化与控制 · 数学 2024-03-27 Hosseinali Salemi , Danial Davarnia

Resilience is one of the key algorithmic problems underlying various forms of reverse data management (such as view maintenance, deletion propagation, and various interventions for fairness): What is the minimal number of tuples to delete…

数据库 · 计算机科学 2023-10-24 Neha Makhija , Wolfgang Gatterbauer

Integer Linear Programs (ILPs) are powerful tools for modeling and solving a large number of combinatorial optimization problems. Recently, it has been shown that Large Neighborhood Search (LNS), as a heuristic algorithm, can find high…

人工智能 · 计算机科学 2024-01-17 Taoan Huang , Aaron Ferber , Yuandong Tian , Bistra Dilkina , Benoit Steiner

Application Specific Instruction-set Processor (ASIP) is one of the popular processor design techniques for embedded systems which allows customizability in processor design without overly hindering design flexibility. Multi-pipeline ASIPs…

编程语言 · 计算机科学 2014-02-05 Rajitha Navarathna , Swarnalatha Radhakrishnan , Roshan Ragel

Linear programming (LP) is an extremely useful tool which has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

数据结构与算法 · 计算机科学 2022-09-26 Agniva Chowdhury , Gregory Dexter , Palma London , Haim Avron , Petros Drineas

In this paper, we propose novel mixed-integer linear programming (MIP) formulations to model decision problems posed as influence diagrams. We also present a novel heuristic that can be employed to warm start the MIP solver, as well as…

最优化与控制 · 数学 2026-01-21 Helmi Hankimaa , Olli Herrala , Fabricio Oliveira , Jaan Tollander de Balsch

Inverse optimization is the problem of determining the values of missing input parameters for an associated forward problem that are closest to given estimates and that will make a given target vector optimal. This study is concerned with…

计算复杂性 · 计算机科学 2023-07-14 Aykut Bulut , Ted K. Ralphs

This paper revisits the integer programming (IP) problem, which plays a fundamental role in many computer vision and machine learning applications. The literature abounds with many seminal works that address this problem, some focusing on…

计算机视觉与模式识别 · 计算机科学 2016-06-21 Baoyuan Wu , Bernard Ghanem

We study the incremental knapsack problem, where one wishes to sequentially pack items into a knapsack whose capacity expands over a finite planning horizon, with the objective of maximizing time-averaged profits. While various…

数据结构与算法 · 计算机科学 2020-10-16 Ali Aouad , Danny Segev

Given an Eulerian graph G, in the Maximum Eulerian Cycle Decomposition problem, we are interested in finding a collection of edge-disjoint cycles {E_1, E_2, ..., E_k} in G such that all edges of G are in exactly one cycle and k is maximum.…

数据结构与算法 · 计算机科学 2022-03-11 Pedro O. Pinheiro , Alexsandro Oliveira Alexandrino , Andre R. Oliveira , Cid C. de Souza , Zanoni Dias

Numerous real-world decision-making problems can be formulated and solved using Mixed-Integer Linear Programming (MILP) models. However, the transformation of these problems into MILP models heavily relies on expertise in operations…

最优化与控制 · 数学 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

We represent planning as a set of loosely coupled network flow problems, where each network corresponds to one of the state variables in the planning domain. The network nodes correspond to the state variable values and the network arcs…

人工智能 · 计算机科学 2011-11-02 Menkes Hector Louis van den Briel , Thomas Vossen , Subbarao Kambhampati