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A method is presented to obtain an inner-approximation of the backward reachable set (BRS) of a given target tube, along with an admissible controller that maintains trajectories inside this tube. The proposed optimization algorithms are…

系统与控制 · 电气工程与系统科学 2019-07-09 He Yin , Murat Arcak , Andrew Packard , Peter Seiler

A variety of large-scale machine learning problems can be cast as instances of constrained submodular maximization. Existing approaches for distributed submodular maximization have a critical drawback: The capacity - number of instances…

机器学习 · 统计学 2016-06-01 Mario Lucic , Olivier Bachem , Morteza Zadimoghaddam , Andreas Krause

The development of smart cities requires innovative sensing solutions for efficient and low-cost urban environment monitoring. Bike-sharing systems, with their wide coverage, flexible mobility, and dense urban distribution, present a…

最优化与控制 · 数学 2024-10-10 Wen Ji , Ke Han , Qi Hao , Qian Ge , Ying Long

We consider a memory allocation problem that can be modeled as a version of bin packing where items may be split, but each bin may contain at most two (parts of) items. A 3/2-approximation algorithm and an NP-hardness proof for this problem…

数据结构与算法 · 计算机科学 2007-05-23 Leah Epstein , Rob van Stee

We study an urban bike lane planning problem based on the fine-grained bike trajectory data, which is made available by smart city infrastructure such as bike-sharing systems. The key decision is where to build bike lanes in the existing…

人工智能 · 计算机科学 2020-08-25 Sheng Liu , Zuo-Jun Max Shen , Xiang Ji

This paper presents SAFEBIKE, a novel route recommendation system for bike-sharing service that utilizes station information to infer the number of available bikes in dock and recommend bike routes according to multiple factors such as…

计算机与社会 · 计算机科学 2017-12-06 Weisheng Zhong , Fanglan Chen , Kaiqun Fu , Chang-Tien Lu

Many problems in science and engineering fields require the solution of shifted linear systems. To solve such systems efficiently, the recycling BiCG (RBiCG) algorithm in [SIAM J. SCI. COMPUT, 34 (2012) 1925-1949] is extended in this paper.…

数值分析 · 数学 2014-06-26 Jing Meng , Pei-yong Zhu , Hou-Biao Li

Since a few years there is an increasing interest in minimizing the energy consumption of computing systems. However in a shared computing system, users want to optimize their experienced quality of service, at the price of a high energy…

数据结构与算法 · 计算机科学 2018-05-30 Christoph Dürr , Łukasz Jeż , Oscar C. Vásquez

We consider the Ordered Open End Bin Packing problem. Items of sizes in $(0,1]$ are presented one by one, to be assigned to bins in this order. An item can be assigned to any bin for which the current total size strictly below $1$. This…

数据结构与算法 · 计算机科学 2020-10-15 János Balogh , Leah Epstein , Asaf Levin

This paper introduces a new optimization model that integrates the multi-port stowage planning problem with the container relocation problem. This problem is formulated as a binary mathematical programming model that must find the…

The proportional fair resource allocation problem is a major problem studied in flow control of networks, operations research, and economic theory, where it has found numerous applications. This problem, defined as the constrained…

最优化与控制 · 数学 2022-11-29 Francisco Criado , David Martínez-Rubio , Sebastian Pokutta

We study the optimization version of the set partition problem (where the difference between the partition sums are minimized), which has numerous applications in decision theory literature. While the set partitioning problem is NP-hard and…

数据结构与算法 · 计算机科学 2021-09-13 Kaan Gokcesu , Hakan Gokcesu

In this paper we look at the problem of scheduling tasks on a single-processor system, where each task requires unit time and must be scheduled within a certain time window, and each task can be added to or removed from the system at any…

数据结构与算法 · 计算机科学 2016-02-16 Wei Quan Lim , Seth Gilbert , Wei Zhong Lim

A new lower bound on the minimum distance of q-ary cyclic codes is proposed. This bound improves upon the Bose-Chaudhuri-Hocquenghem (BCH) bound and, for some codes, upon the Hartmann-Tzeng (HT) bound. Several Boston bounds are special…

信息论 · 计算机科学 2012-03-13 Alexander Zeh , Antonia Wachter , Sergey Bezzateev

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

数据结构与算法 · 计算机科学 2020-06-11 Martin Olsen , Allan Gross

Fundamental laws of human mobility have been extensively studied, yet we are still lacking a comprehensive understanding of the mobility patterns of sharing conveyances. Since travellers would highly probably no longer possess their own…

物理与社会 · 物理学 2022-02-16 Ruiqi Li , Ankang Luo , Fan Shang , Linyuan Lv , Jingfang Fan , Gang Lu , Liming Pan , Lixin Tian , H. Eugene Stanley

Bicycle-sharing systems (BSS) have become a daily reality for many citizens of larger, wealthier cities in developed regions. However, planning the layout of bicycle-sharing stations usually requires expensive data gathering, surveying…

机器学习 · 计算机科学 2021-11-02 Kamil Raczycki , Piotr Szymański

Upper bounds are given for the weight distribution of binary weakly self-dual codes. To get these new bounds, we introduce a novel method of utilizing unitary operations on Hilbert spaces. This method is motivated by recent progress on…

组合数学 · 数学 2007-07-16 Vwani P. Roychowdhury , Farrokh Vatan

Given an $n$-point metric space $(\mathcal{X},d)$ where each point belongs to one of $m=O(1)$ different categories or groups and a set of integers $k_1, \ldots, k_m$, the fair Max-Min diversification problem is to select $k_i$ points…

数据结构与算法 · 计算机科学 2022-01-19 Raghavendra Addanki , Andrew McGregor , Alexandra Meliou , Zafeiria Moumoulidou

The $\alpha$-fair resource allocation problem has received remarkable attention and has been studied in numerous application fields. Several algorithms have been proposed in the context of $\alpha$-fair resource sharing to distributively…

网络与互联网体系结构 · 计算机科学 2018-02-09 Zaid Allybokus , Konstantin Avrachenkov , Jérémie Leguay , Lorenzo Maggi