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相关论文: Improved Bounds for Open Online Dial-a-Ride on the…

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The online Dial-a-Ride problem is a fundamental online problem in a metric space, where transportation requests appear over time and may be served in any order by a single server with unit speed. Restricted to the real line, online…

最优化与控制 · 数学 2019-01-15 Alexander Birx , Yann Disser

We consider the open online dial-a-ride problem, where transportation requests appear online in a metric space and need to be served by a single server. The objective is to minimize the completion time until all requests have been served.…

数据结构与算法 · 计算机科学 2022-10-26 Julia Baligacs , Yann Disser , Nils Mosis , David Weckbecker

In the open online dial-a-ride problem, a single server has to deliver transportation requests appearing over time in some metric space, subject to minimizing the completion time. We improve on the best known upper bounds on the competitive…

数据结构与算法 · 计算机科学 2023-05-23 Julia Baligacs , Yann Disser , Farehe Soheil , David Weckbecker

We study the online Traveling Salesman Problem (TSP) on the line augmented with machine-learned predictions. In the classical problem, there is a stream of requests released over time along the real line. The goal is to minimize the…

数据结构与算法 · 计算机科学 2022-06-02 Themis Gouleakis , Konstantinos Lakis , Golnoosh Shahkarami

In the Online-Dial-a-Ride Problem (OLDARP) a server travels through a metric space to serve requests for rides. We consider a variant where each request specifies a source, destination, release time, and revenue that is earned for serving…

数据结构与算法 · 计算机科学 2019-12-16 Ananya Christman , Christine Chung , Nicholas Jaczko , Tianzhi Li , Scott Westvold , Xinyue Xu

In the classic Dial-a-Ride Problem, a server travels in some metric space to serve requests for rides. Each request has a source, destination, and release time. We study a variation of this problem where each request also has a revenue that…

数据结构与算法 · 计算机科学 2013-10-29 Ananya Christman , William Forcier

We study online competitive algorithms for the \emph{line chasing problem} in Euclidean spaces $\reals^d$, where the input consists of an initial point $P_0$ and a sequence of lines $X_1,X_2,...,X_m$, revealed one at a time. At each step…

数据结构与算法 · 计算机科学 2019-09-23 Marcin Bienkowski , Jarosław Byrka , Marek Chrobak , Christian Coester , Łukasz Jeż , Elias Koutsoupias

We study the online traveling repairperson problem on a line within the recently proposed learning-augmented framework, which provides predictions on the requests to be served via machine learning. In the original model (with no…

数据结构与算法 · 计算机科学 2026-01-21 Swapnil Guragain , Gokarna Sharma

In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

数据结构与算法 · 计算机科学 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis

We consider TSP with time windows and service time. In this problem we receive a sequence of requests for a service at nodes in a metric space and a time window for each request. The goal of the online algorithm is to maximize the number of…

数据结构与算法 · 计算机科学 2015-01-27 Yossi Azar , Adi Vardi

The paper investigates a dial-a-ride problem focusing on the residents of large cities. These individuals have the opportunity to use a wide variety of transportation modes. Because of this, ridepooling providers have to solve the tradeoff…

最优化与控制 · 数学 2022-08-02 Arne Schulz , Christian Pfeiffer

The time-optimal $k$-server problem minimizes the time spent serving all requests instead of the distances traveled. We give a lower bound of $2k-1$ on the competitive ratio of any deterministic online algorithm for this problem, which…

数据结构与算法 · 计算机科学 2025-03-10 Fabian Frei , Dennis Komm , Moritz Stocker , Philip Whittington

In the Time-Windows TSP (TW-TSP) we are given requests at different locations on a network; each request is endowed with a reward and an interval of time; the goal is to find a tour that visits as much reward as possible during the…

数据结构与算法 · 计算机科学 2023-04-05 Shuchi Chawla , Dimitris Christou

Searching for a line on the plane with $n$ unit speed robots is a classic online problem that dates back to the 50's, and for which competitive ratio upper bounds are known for every $n\geq 1$. In this work we improve the best lower bound…

离散数学 · 计算机科学 2020-01-14 Sumi Acharjee , Konstantinos Georgiou , Somnath Kundu , Akshaya Srinivasan

We consider the online versions of two fundamental routing problems, traveling salesman (TSP) and dial-a-ride (DARP), which have a variety of relevant applications in logistics and robotics. The online versions of these problems concern…

数据结构与算法 · 计算机科学 2025-06-24 Swapnil Guragain , Gokarna Sharma

We consider the online traveling salesman problem on the real line (OLTSPL) in which a salesman begins at the origin, traveling at no faster than unit speed along the real line, and wants to serve a sequence of requests, arriving online…

数据结构与算法 · 计算机科学 2025-07-10 Pei-Chuan Chen , Erik D. Demaine , Chung-Shou Liao , Hao-Ting Wei

In this paper, we consider the Online Traveling Salesperson Problem (OLTSP) where the locations of the requests are known in advance, but not their arrival times. We study both the open variant, in which the algorithm is not required to…

数据结构与算法 · 计算机科学 2022-11-02 Evripidis Bampis , Bruno Escoffier , Niklas Hahn , Michalis Xefteris

Cooperation between mobile robots and wireless sensor networks is a line of research that is currently attracting a lot of attention. In this context, we study the following problem of barrier coverage by stationary wireless sensors that…

数据结构与算法 · 计算机科学 2014-10-27 J. Czyzowicz , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny

The $k$-Server Problem covers plenty of resource allocation scenarios, and several variations have been studied extensively for decades. We present a model generalizing the $k$-Server Problem by preferences of the requests, where the…

数据结构与算法 · 计算机科学 2022-10-21 Jannik Castenow , Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

We slightly improve the known lower bound on the asymptotic competitive ratio for online bin packing of rectangles. We present a complete proof for the new lower bound, whose value is above 1.91.

数据结构与算法 · 计算机科学 2018-11-26 Leah Epstein
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