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We study the capacitated $k$-facility location problem, in which we are given a set of clients with demands, a set of facilities with capacities and a constant number $k$. It costs $f_i$ to open facility $i$, and $c_{ij}$ for facility $i$…

Data Structures and Algorithms · Computer Science 2014-09-15 Karen Aardal , Pieter van den Berg , Dion Gijswijt , Shanfei Li

We investigate the use of multi-agent allocation techniques on problems related to Earth observation scenarios with multiple users and satellites. We focus on the problem of coordinating users having reserved exclusive orbit portions and…

Artificial Intelligence · Computer Science 2021-07-28 Gauthier Picard

We study a location-routing problem in the context of capacitated vehicle routing. The input is a set of demand locations in a metric space and a fleet of k vehicles each of capacity Q. The objective is to locate k depots, one for each…

Data Structures and Algorithms · Computer Science 2011-03-08 Inge Li Goertz , Viswanath Nagarajan

Global mobile robot localization is the problem of determining a robot's pose in an environment, using sensor data, when the starting position is unknown. A family of probabilistic algorithms known as Monte Carlo Localization (MCL) is…

Robotics · Computer Science 2007-05-23 Javier Nicolas Sanchez , Adam Milstein , Evan Williamson

We consider a variant of the set covering problem with uncertain parameters, which we refer to as the chance-constrained set multicover problem (CC-SMCP). In this problem, we assume that there is uncertainty regarding whether a selected set…

Optimization and Control · Mathematics 2026-05-04 Shunyu Yao , Neng Fan , Pavlo Krokhmal

In this paper, we address a variant of the marketing mix optimization (MMO) problem which is commonly encountered in many industries, e.g., retail and consumer packaged goods (CPG) industries. This problem requires the spend for each…

Optimization and Control · Mathematics 2021-01-12 Hsin-Chan Huang , Jiefeng Xu , Alvin Lim

Many municipalities and large organizations have fleets of vehicles that need to be coordinated for tasks such as garbage collection or infrastructure inspection. Motivated by this need, this paper focuses on the common subproblem in which…

Robotics · Computer Science 2021-05-11 Bo Liu , Xuesu Xiao , Peter Stone

We proposed a mathematical model for designing the layout diagram of stand locations at the Macao Food Festival. The optimal layout diagram may be defined in such a way that, while requiring the distance between every pair of stands should…

Physics and Society · Physics 2022-02-21 Ka Ian Im , In Kio Choi , Pak Kio Lei , Hou Fai Chan , U In Ian , Wei Shan Lee

We study the maximum set coverage problem in the massively parallel model. In this setting, $m$ sets that are subsets of a universe of $n$ elements are distributed among $m$ machines. In each round, these machines can communicate with each…

Data Structures and Algorithms · Computer Science 2024-11-26 Thai Bui , Hoa T. Vu

In Coordinated Motion Planning (CMP), we are given a rectangular-grid on which $k$ robots occupy $k$ distinct starting gridpoints and need to reach $k$ distinct destination gridpoints. In each time step, any robot may move to a neighboring…

Data Structures and Algorithms · Computer Science 2023-12-19 Eduard Eiben , Robert Ganian , Iyad Kanj

Visual feature pyramid has shown its superiority in both effectiveness and efficiency in a wide range of applications. However, the existing methods exorbitantly concentrate on the inter-layer feature interactions but ignore the intra-layer…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Yu Quan , Dong Zhang , Liyan Zhang , Jinhui Tang

This paper presents fast, distributed, $O(1)$-approximation algorithms for metric facility location problems with outliers in the Congested Clique model, Massively Parallel Computation (MPC) model, and in the $k$-machine model. The paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-16 Tanmay Inamdar , Shreyas Pai , Sriram V. Pemmaraju

In this report, we present the 4th place solution for CVPR 2023 3D occupancy prediction challenge. We propose a simple method called Multi-Scale Occ for occupancy prediction based on lift-splat-shoot framework, which introduces multi-scale…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Yangyang Ding , Luying Huang , Jiachen Zhong

The Ordered Covering Problem (OCP) arises in the context of the Discretizable Molecular Distance Geometry Problem (DMDGP), where the ordering of pruning edges significantly impacts the performance of the SBBU algorithm for protein structure…

Data Structures and Algorithms · Computer Science 2025-12-04 Michael Souza , Júlio Araújo , John Kesley Costa , Carlile Lavor

Ridesharing has been emerging as a new type of mobility. However, the early promises of ridesharing for alleviating congestion in cities may be undermined by a number of challenges, including the growing number of proposed services and the…

Computers and Society · Computer Science 2020-01-09 Venktesh Pandey , Julien Monteil , Claudio Gambella , Andrea Simonetto

The polytope from a service center location problem with a special location-dependent demand has been investigated in this paper. The location-dependent demand is defined based on a maximum-attraction-principle assumption. Along this…

Optimization and Control · Mathematics 2021-12-13 Fengqiao Luo

The range closest-pair (RCP) problem is the range-search version of the classical closest-pair problem, which aims to store a given dataset of points in some data structure such that when a query range $X$ is specified, the closest pair of…

Computational Geometry · Computer Science 2018-07-27 Jie Xue

We present PLUMES, a planner to localizing and collecting samples at the global maximum of an a priori unknown and partially observable continuous environment. The "maximum-seek-and-sample" (MSS) problem is pervasive in the environmental…

Robotics · Computer Science 2019-09-27 Genevieve Flaspohler , Victoria Preston , Anna P. M. Michel , Yogesh Girdhar , Nicholas Roy

Given a metric space $(F \cup C, d)$, we consider star covers of $C$ with balanced loads. A star is a pair $(f, C_f)$ where $f \in F$ and $C_f \subseteq C$, and the load of a star is $\sum_{c \in C_f} d(f, c)$. In minimum load $k$-star…

Data Structures and Algorithms · Computer Science 2019-12-04 Buddhima Gamlath , Vadim Grinberg

Mobility-on-Demand (MoD) systems have become a fixture in urban transportation networks, with the rapid growth of ride-hailing services such as Uber and Lyft. Ride-hailing is typically complemented with ridepooling options, which can reduce…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Yang Liu , Qi Luo , Raga Gopalakrishnan , Samitha Samaranayake