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In this paper, we study the {\em green bin packing} (GBP) problem where $\beta \ge 0$ and $G \in [0, 1]$ are two given values as part of the input. The energy consumed by a bin is $\max \{0, \beta (x-G) \}$ where $x$ is the total size of…

Data Structures and Algorithms · Computer Science 2026-02-20 Mingyang Gong , Brendan Mumey

We propose an active 3D mapping method for depth sensors, which allow individual control of depth-measuring rays, such as the newly emerging solid-state lidars. The method simultaneously (i) learns to reconstruct a dense 3D occupancy map…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Karel Zimmermann , Tomas Petricek , Vojtech Salansky , Tomas Svoboda

This paper considers a time-varying optimization problem associated with a network of systems, with each of the systems shared by (and affecting) a number of individuals. The objective is to minimize cost functions associated with the…

Optimization and Control · Mathematics 2022-03-15 Ana M. Ospina , Andrea Simonetto , Emiliano Dall'Anese

The frame algorithm uses a simple recursive formula to approximate an unknown vector from its frame coefficients. This note introduces an adaptive version of the frame algorithm that maximizes the error reduction between steps in terms of…

Functional Analysis · Mathematics 2025-06-24 Brody Dylan Johnson

Many robotic systems deal with uncertainty by performing a sequence of information gathering actions. In this work, we focus on the problem of efficiently constructing such a sequence by drawing an explicit connection to submodularity.…

The route planning problem based on the greedy algorithm represents a method of identifying the optimal or near-optimal route between a given start point and end point. In this paper, the PCA method is employed initially to downscale the…

Artificial Intelligence · Computer Science 2024-10-23 Yiquan Wang

An important research thread in algorithmic game theory studies the design of efficient truthful mechanisms that approximate the optimal social welfare. A fundamental question is whether an \alpha-approximation algorithm translates into an…

Computer Science and Game Theory · Computer Science 2015-05-13 Chandra Chekuri , Iftah Gamzu

Technical components are usually well optimized. However, simply combining these optimized components in a technical system does not necessarily lead to optimal systems. Therefore, focusing on a system perspective reveals new potential for…

Optimization and Control · Mathematics 2018-10-31 Jonas Benjamin Weber , Ulf Lorenz

We consider the residential energy storage management system with integrated renewable generation, with the availability of bidirectional energy flow from and to the grid thorough buying and selling. We propose a real-time bidirectional…

Systems and Control · Computer Science 2018-05-15 Tianyi Li , Min Dong

We give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

Data Structures and Algorithms · Computer Science 2019-12-03 Thomas Bosman , Neil Olver

Utilizing solar energy to meet space heating and domestic hot water demand is very efficient (in terms of environmental footprint as well as cost), but in order to ensure that user demand is entirely covered throughout the year needs to be…

Machine Learning · Computer Science 2024-05-17 Tatiana Boura , Natalia Koliou , George Meramveliotakis , Stasinos Konstantopoulos , George Kosmadakis

The randomized group-greedy method and its customized method for large-scale sensor selection problems are proposed. The randomized greedy sensor selection algorithm is applied straightforwardly to the group-greedy method, and a customized…

Signal Processing · Electrical Eng. & Systems 2023-03-27 Takayuki Nagata , Keigo Yamada , Kumi Nakai , Yuji Saito , Taku Nonomura

The problem of optimally placing sensors under a cost constraint arises naturally in the design of industrial and commercial products, as well as in scientific experiments. We consider a relaxation of the full optimization formulation of…

Optimization and Control · Mathematics 2018-05-11 Emily Clark , Travis Askham , Steven L. Brunton , J. Nathan Kutz

The taxing computational effort that is involved in solving some high-dimensional statistical problems, in particular problems involving non-convex optimization, has popularized the development and analysis of algorithms that run…

Statistics Theory · Mathematics 2020-02-13 Guy Holtzman , Adam Soffer , Dan Vilenchik

In this paper we introduce several extremal sequences of points on locally compact metric spaces and study their asymptotic properties. These sequences are defined through a greedy algorithm by minimizing a certain energy functional whose…

Mathematical Physics · Physics 2019-10-22 A. López García

The Long Term Evolution (LTE) as a mobile broadband technology supports a wide domain of communication services with different requirements. Therefore, scheduling of all flows from various applications in overload states in which the…

Networking and Internet Architecture · Computer Science 2016-01-15 Nasim Ferdosian , Mohamed Othman , Borhanuddin Mohd Ali , Kweh Yeah Lun

The inverse one-phase Stefan problem in one dimension, aimed at identifying the unknown time-dependent heat flux P(t) with a known moving boundary position s(t), is investigated. A previous study [16] attempted to reconstruct the unknown…

Numerical Analysis · Mathematics 2024-10-28 Orazbek Narbek , Samat A. Kassabek , Targyn Nauryz

*The following abbreviates the abstract. Please refer to the thesis for the full abstract.* After a disaster, locating and extracting victims quickly is critical because mortality rises rapidly after the first two days. To assist search and…

Robotics · Computer Science 2021-02-09 Micah Corah

In this article, we present two new greedy algorithms for the computation of the lowest eigenvalue (and an associated eigenvector) of a high-dimensional eigenvalue problem, and prove some convergence results for these algorithms and their…

Numerical Analysis · Mathematics 2013-04-10 Eric Cancès , Virginie Ehrlacher , Tony Lelièvre

We consider a 1-machine scheduling problem where the temperature of a job rises during processing, and cools down when not being processed according to given linear heating and cooling rates. No job's temperature is allowed to rise above a…

Optimization and Control · Mathematics 2023-12-18 Roel Lambers , Rudi Pendavingh , Frits Spieksma , Céline M. F. Swennenhuis