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Related papers: Online Matching with Delays and Size-based Costs

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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

We consider the problem of online Min-cost Perfect Matching with Delays (MPMD) introduced by Emek et al. (STOC 2016). In this problem, an even number of requests appear in a metric space at different times and the goal of an online…

Data Structures and Algorithms · Computer Science 2017-04-25 Marcin Bienkowski , Artur Kraska , Paweł Schmidt

This paper presents a new research direction for the Min-cost Perfect Matching with Delays (MPMD) - a problem introduced by Emek et al. (STOC'16). In the original version of this problem, we are given an $n$-point metric space, where…

Data Structures and Algorithms · Computer Science 2025-01-07 Mathieu Mari , Michał Pawłowski , Runtian Ren , Piotr Sankowski

In the Min-cost Perfect Matching with Delays (MPMD) problem, 2 m requests arrive over time at points of a metric space. An online algorithm has to connect these requests in pairs, but a decision to match may be postponed till a more…

Data Structures and Algorithms · Computer Science 2018-09-11 Marcin Bienkowski , Artur Kraska , Hsiang-Hsuan Liu , Paweł Schmidt

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

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

We consider the problem of online min-cost perfect matching with concave delays. We begin with the single location variant. Specifically, requests arrive in an online fashion at a single location. The algorithm must then choose between…

Data Structures and Algorithms · Computer Science 2020-11-05 Yossi Azar , Runtian Ren , Danny Vainstein

We investigate the problem of Min-cost Perfect Matching with Delays (MPMD) in which requests are pairwise matched in an online fashion with the objective to minimize the sum of space cost and time cost. Though linear-MPMD (i.e., time cost…

Data Structures and Algorithms · Computer Science 2022-03-08 Xingwu Liu , Zhida Pan , Yuyi Wang , Roger Wattenhofer

We initiate the study of online problems with set delay, where the delay cost at any given time is an arbitrary function of the set of pending requests. In particular, we study the online min-cost perfect matching with set delay (MPMD-Set)…

Data Structures and Algorithms · Computer Science 2023-07-11 Lindsey Deryckere , Seeun William Umboh

In this paper, we study the Min-cost Perfect $k$-way Matching with Delays ($k$-MPMD), recently introduced by Melnyk et al. In the problem, $m$ requests arrive one-by-one over time in a metric space. At any time, we can irrevocably make a…

Data Structures and Algorithms · Computer Science 2023-10-30 Naonori Kakimura , Tomohiro Nakayoshi

We consider the problem of online Min-cost Perfect Matching with Delays (MPMD) recently introduced by Emek et al, (STOC 2016). This problem is defined on an underlying $n$-point metric space. An adversary presents real-time requests online…

Data Structures and Algorithms · Computer Science 2016-10-18 Yossi Azar , Ashish Chiplunkar , Haim Kaplan

In a seminal work, Dooly, Goldman, and Scott (STOC 1998; JACM 2001) introduced the classic Online TCP Acknowledgment problem. In this problem, a sequence of $n$ packets arrives over time, and the objective is to minimize both the number of…

Data Structures and Algorithms · Computer Science 2026-04-16 Sujoy Bhore , Michał Pawłowski , Seeun William Umboh

We study the minimum-cost metric perfect matching problem under online i.i.d arrivals. We are given a fixed metric with a server at each of the points, and then requests arrive online, each drawn independently from a known probability…

Data Structures and Algorithms · Computer Science 2019-04-22 Anupam Gupta , Guru Guruganesh , Binghui Peng , David Wajc

In the online Min-cost Perfect Matching with Delays (MPMD) problem, $m$ requests in a metric space are submitted at different times by an adversary. The goal is to match all requests while (i) minimizing the sum of the distances between…

Data Structures and Algorithms · Computer Science 2025-10-24 Marc Dufay , Roger Wattenhofer

We study the online metric matching problem. There are $m$ servers and $n$ requests located in a metric space, where all servers are available upfront and requests arrive one at a time. Upon the arrival of a new request, it needs to be…

Data Structures and Algorithms · Computer Science 2025-10-16 Mingwei Yang , Sophie H. Yu

In the online metric matching problem, $n$ servers and $n$ requests lie in a metric space. Servers are available upfront, and requests arrive sequentially. An arriving request must be matched immediately and irrevocably to an available…

Data Structures and Algorithms · Computer Science 2026-04-22 Yingxi Li , Ellen Vitercik , Mingwei Yang

We study the problem of online facility location with delay. In this problem, a sequence of $n$ clients appear in the metric space, and they need to be eventually connected to some open facility. The clients do not have to be connected…

Data Structures and Algorithms · Computer Science 2022-09-30 Marcin Bienkowski , Martin Böhm , Jarosław Byrka , Jan Marcinkowski

We study the online variant of the Min-Sum Set Cover (MSSC) problem, a generalization of the well-known list update problem. In the MSSC problem, an algorithm has to maintain the time-varying permutation of the list of $n$ elements, and…

Data Structures and Algorithms · Computer Science 2023-07-03 Mateusz Basiak , Marcin Bienkowski , Agnieszka Tatarczuk

In the online metric bipartite matching problem, we are given a set $S$ of server locations in a metric space. Requests arrive one at a time, and on its arrival, we need to immediately and irrevocably match it to a server at a cost which is…

Computational Geometry · Computer Science 2018-03-21 Sharath Raghvendra

In this paper, we study $k$-Way Min-cost Perfect Matching with Delays - the $k$-MPMD problem. This problem considers a metric space with $n$ nodes. Requests arrive at these nodes in an online fashion. The task is to match these requests…

Data Structures and Algorithms · Computer Science 2021-09-15 Darya Melnyk , Yuyi Wang , Roger Wattenhofer
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