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Related papers: List Update with Delays or Time Windows

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We study the online minimum cost bipartite perfect matching with delays problem. In this problem, $m$ servers and $m$ requests arrive over time, and an online algorithm can delay the matching between servers and requests by paying the delay…

Data Structures and Algorithms · Computer Science 2024-08-06 Tung-Wei Kuo

This paper presents a new research direction for online Multi-Level Aggregation (MLA) with delays. In this problem, we are given an edge-weighted rooted tree $T$, and we have to serve a sequence of requests arriving at its vertices in an…

Data Structures and Algorithms · Computer Science 2024-10-01 Mathieu Mari , Michał Pawłowski , Runtian Ren , Piotr Sankowski

We study the $k$-server problem with time-windows. In this problem, each request $i$ arrives at some point $v_i$ of an $n$-point metric space at time $b_i$ and comes with a deadline $e_i$. One of the $k$ servers must be moved to $v_i$ at…

Data Structures and Algorithms · Computer Science 2021-11-18 Anupam Gupta , Amit Kumar , Debmalya Panigrahi

In the online Steiner tree problem, a sequence of points is revealed one-by-one: when a point arrives, we only have time to add a single edge connecting this point to the previous ones, and we want to minimize the total length of edges…

Data Structures and Algorithms · Computer Science 2013-10-23 Albert Gu , Anupam Gupta , Amit Kumar

We consider the online Minimum-Cost Perfect Matching with Delays (MPMD) problem introduced by Emek et al. (STOC 2016), in which a general metric space is given, and requests are submitted in different times in this space by an adversary.…

Data Structures and Algorithms · Computer Science 2018-08-08 Yossi Azar , Amit Jacob-Fanani

The Joint Replenishment Problem (JRP) is a classical inventory management problem, that aims to model the trade-off between coordinating orders for multiple commodities (and their cost) with holding costs incurred by meeting demand in…

Data Structures and Algorithms · Computer Science 2026-02-13 David Shmoys , Varun Suriyanarayana , Seeun William Umboh

We introduce the Pickup and Delivery Problem with Time Windows and Scheduling on the Edges (PDPTW-SE), a generalization of the PDPTW that integrates vehicle routing and machine scheduling. The problem involves defining routes for…

Optimization and Control · Mathematics 2025-11-12 Vítor A. Barbosa , Sunil Tiwari , Rafael A. Melo

This paper studies a new online problem, referred to as \emph{min-cost perfect matching with delays (MPMD)}, defined over a finite metric space (i.e., a complete graph with positive edge weights obeying the triangle inequality)…

Data Structures and Algorithms · Computer Science 2016-03-10 Yuval Emek , Shay Kutten , Roger Wattenhofer

The main objective of this survey is to present the important theoretical and experimental results contributed till date in the area of online algorithms for the self organizing sequential search problem, also popularly known as the List…

Data Structures and Algorithms · Computer Science 2009-09-02 Rakesh Mohanty , N. S. Narayanaswamy

For the List Accessing Problem, Move-To-Front(MTF) algorithm has been proved to be the best performing online list accessing algorithm till date in the literature[10]. In this paper, we have made a comprehensive analysis of MTF algorithm…

Data Structures and Algorithms · Computer Science 2011-05-03 Rakesh Mohanty , Sasmita Tripathy

Motivated primarily by applications in cloud computing, we study a simple, yet powerful, online allocation problem in which jobs of varying durations arrive over continuous time and must be assigned immediately and irrevocably to one of the…

Data Structures and Algorithms · Computer Science 2025-06-10 Farbod Ekbatani , Yiding Feng , Ian Kash , Rad Niazadeh

Emerging networked systems become increasingly flexible and reconfigurable. This introduces an opportunity to adjust networked systems in a demand-aware manner, leveraging spatial and temporal locality in the workload for online…

Data Structures and Algorithms · Computer Science 2019-05-08 Chen Avin , Ingo van Duijn , Stefan Schmid

We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

Data Structures and Algorithms · Computer Science 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

In the setting of online algorithms, the input is initially not present but rather arrive one-by-one over time and after each input, the algorithm has to make a decision. Depending on the formulation of the problem, the algorithm might be…

Data Structures and Algorithms · Computer Science 2020-01-10 Mustafa Safa Ozdayi

A speed scaling problem is considered, where time is divided into slots, and jobs with payoff $v$ arrive at the beginning of the slot with associated deadlines $d$. Each job takes one slot to be processed, and multiple jobs can be processed…

Data Structures and Algorithms · Computer Science 2017-11-15 Goonwanth Reddy , Rahul Vaze

In this paper, we consider the multi-level aggregation problem with deadlines (MLAPD) previously studied by Bienkowski et al. (2015), Buchbinder et al. (2017), and Azar and Touitou (2019). This is an online problem where the algorithm…

Data Structures and Algorithms · Computer Science 2021-08-11 Jeremy McMahan

In traditional on-line problems, such as scheduling, requests arrive over time, demanding available resources. As each request arrives, some resources may have to be irrevocably committed to servicing that request. In many situations,…

Data Structures and Algorithms · Computer Science 2013-05-29 Michael A. Bender , Martin Farach-Colton , Sándor P. Fekete , Jeremy T. Fineman , Seth Gilbert

The list update problem is one of the oldest and simplest problems in online algorithms: A set of items must be maintained in a list while requests to these items arrive over time. Whenever an item is requested, the algorithm pays a cost…

Data Structures and Algorithms · Computer Science 2026-03-12 Christian Coester

We consider an online scheduling problem, motivated by the issues present at the joints of networks using ATM and TCP/IP. Namely, IP packets have to broken down to small ATM cells and sent out before their deadlines, but cells corresponding…

Data Structures and Algorithms · Computer Science 2009-04-14 Christoph Durr , Lukasz Jez , Nguyen Kim Thang

This paper considers the problem of service placement and task scheduling on a three-tiered edge-to-cloud platform when user requests must be met by a certain deadline. Time-sensitive applications (e.g., augmented reality, gaming, real-time…

Networking and Internet Architecture · Computer Science 2019-08-15 Matthew Turner , Hana Khamfroush