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Order picking and order packing entail retrieving items from storage and packaging them according to customer requests. These activities have always been the main concerns of the companies in reducing warehouse management costs. This paper…

最优化与控制 · 数学 2022-06-24 Sen Xue , Chuanhou Gao

In this paper we deal with the Bin Packing Problem with Conflicts on interval graphs: given an interval graph, a nonnegative integer weight for each vertex, and a nonnegative integer B, find a partition of the vertex set of the graph into k…

组合数学 · 数学 2017-09-15 Tiziano Bacci , Sara Nicoloso

We present a new approach for modeling avoidance constraints in 2D environments, in which waypoints are assigned to obstacle-free polyhedral regions. Constraints of this form are often formulated as mixed-integer programming (MIP) problems…

最优化与控制 · 数学 2024-11-20 Raul Garcia , Illya V. Hicks , Joey Huchette

The fully dynamic transitive closure problem asks to maintain reachability information in a directed graph between arbitrary pairs of vertices, while the graph undergoes a sequence of edge insertions and deletions. The problem has been…

数据结构与算法 · 计算机科学 2020-02-04 Kathrin Hanauer , Monika Henzinger , Christian Schulz

The rapid development and deployment of vehicle technologies offer opportunities to re-think the way traffic is managed. This paper capitalizes on vehicle connectivity and proposes an economic instrument and corresponding cooperative…

系统与控制 · 电气工程与系统科学 2022-08-02 DianChao Lin , Saif Eddin Jabari

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

数据结构与算法 · 计算机科学 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

最优化与控制 · 数学 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

In recent years, various means of efficiently detecting changepoints in the univariate setting have been proposed, with one popular approach involving minimising a penalised cost function using dynamic programming. In some situations, these…

统计方法学 · 统计学 2018-10-09 S. O. Tickle , I. A. Eckley , P. Fearnhead , K. Haynes

To solve many problems on graphs, graph traversals are used, the usual variants of which are the depth-first search and the breadth-first search. Implementing a graph traversal we consequently reach all vertices of the graph that belong to…

离散数学 · 计算机科学 2025-02-18 A. V. Prolubnikov

In this paper we consider graph algorithms in models of computation where the space usage (random accessible storage, in addition to the read only input) is sublinear in the number of edges $m$ and the access to input data is constrained.…

数据结构与算法 · 计算机科学 2015-04-21 Kook Jin Ahn , Sudipto Guha

Over the last two decades, frameworks for distributed-memory parallel computation, such as MapReduce, Hadoop, Spark and Dryad, have gained significant popularity with the growing prevalence of large network datasets. The Massively Parallel…

数据结构与算法 · 计算机科学 2022-07-19 Amartya Shankha Biswas , Talya Eden , Quanquan C. Liu , Slobodan Mitrović , Ronitt Rubinfeld

Motivated by image-on-scalar regression with data aggregated across multiple sites, we consider a setting in which multiple independent studies each collect multiple dependent vector outcomes, with potential mean model parameter homogeneity…

统计方法学 · 统计学 2022-10-06 Emily C. Hector

In this paper, we develop a novel weighted Laplacian method, which is partially inspired by the theory of graph Laplacian, to study recent popular graph problems, such as multilevel graph partitioning and balanced minimum cut problem, in a…

机器学习 · 计算机科学 2020-05-20 Shijie Xu , Jiayan Fang , Xiang-Yang Li

Partitioning the vertices of a (hyper)graph into k roughly balanced blocks such that few (hyper)edges run between blocks is a key problem for large-scale distributed processing. A current trend for partitioning huge (hyper)graphs using low…

数据结构与算法 · 计算机科学 2023-02-14 Kamal Eyubov , Marcelo Fonseca Faraj , Christian Schulz

We propose a novel optimization-based approach to embedding heterogeneous high-dimensional data characterized by a graph. The goal is to create a two-dimensional visualization of the graph structure such that edge-crossings are minimized…

最优化与控制 · 数学 2012-10-09 Amina Shabbeer , Cagri Ozcaglar , Kristin P. Bennett

We consider the minimum spanning tree problem with predictions, using the weight-arrival model, i.e., the graph is given, together with predictions for the weights of all edges. Then the actual weights arrive one at a time and an…

数据结构与算法 · 计算机科学 2023-02-24 Magnus Berg , Joan Boyar , Lene M. Favrholdt , Kim S. Larsen

The shortest path problem is among the most fundamental combinatorial optimization problems to answer reachability queries. It is hard to deter-mine which vertices or edges are visited during shortest path traversals. In this paper, we…

社会与信息网络 · 计算机科学 2014-12-30 Waqas Nawaz , Kifayat Ullah Khan , Young-Koo Lee

This paper analyzes the problem of assigning weights to edges incrementally in a dynamic complete bipartite graph consisting of producer and consumer nodes. The objective is to minimize the overall cost while satisfying certain constraints.…

分布式、并行与集群计算 · 计算机科学 2011-05-03 Ankur Sahai

Suppose you are given a graph $G=(V,E)$ with a weight assignment $w:V\rightarrow\mathbb{Z}$ and that your objective is to modify $w$ using legal steps such that all vertices will have the same weight, where in each legal step you are…

离散数学 · 计算机科学 2015-07-03 Friedrich Eisenbrand , Shay Moran , Rom Pinchasi , Martin Skutella

Determining the degree of inherent parallelism in classical sequential algorithms and leveraging it for fast parallel execution is a key topic in parallel computing, and detailed analyses are known for a wide range of classical algorithms.…

数据结构与算法 · 计算机科学 2023-04-24 Alexander Fedorov , Diba Hashemi , Giorgi Nadiradze , Dan Alistarh
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