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We consider the problem of fairly allocating items to a set of individuals, when the items are arriving online. A central solution concept in fair allocation is competitive equilibrium: every individual is endowed with a budget of faux…

计算机科学与博弈论 · 计算机科学 2022-10-18 Luofeng Liao , Yuan Gao , Christian Kroer

This paper considers using predictions in the context of the online Joint Replenishment Problem with Deadlines (JRP-D). Prior work includes asymptotically optimal competitive ratios of $O(1)$ for the clairvoyant setting and $O(\sqrt{n})$ of…

数据结构与算法 · 计算机科学 2025-11-21 Michael Dinitz , Jeremy T. Fineman , Seeun William Umboh

This paper is devoted to the online dominating set problem and its variants. We believe the paper represents the first systematic study of the effect of two limitations of online algorithms: making irrevocable decisions while not knowing…

数据结构与算法 · 计算机科学 2018-09-14 Joan Boyar , Stephan J. Eidenbenz , Lene M. Favrholdt , Michal Kotrbčík , Kim S. Larsen

In the matroid buyback problem, an algorithm observes a sequence of bids and must decide whether to accept each bid at the moment it arrives, subject to a matroid constraint on the set of accepted bids. Decisions to reject bids are…

计算机科学与博弈论 · 计算机科学 2009-11-30 Ashwinkumar B. V. , Robert Kleinberg

Contention resolution schemes have proven to be an incredibly powerful concept which allows to tackle a broad class of problems. The framework has been initially designed to handle submodular optimization under various types of constraints,…

数据结构与算法 · 计算机科学 2018-11-27 Marek Adamczyk , Michał Włodarczyk

Submodular function maximization has been studied extensively in recent years under various constraints and models. The problem plays a major role in various disciplines. We study a natural online variant of this problem in which elements…

数据结构与算法 · 计算机科学 2015-01-26 Niv Buchbinder , Moran Feldman , Roy Schwartz

We study web and mobile applications that are used to schedule advance service, from medical appointments to restaurant reservations. We model them as online weighted bipartite matching problems with non-stationary arrivals. We propose new…

最优化与控制 · 数学 2018-05-29 Xinshang Wang , Van-Anh Truong , David Bank

Though competitive analysis has been a very useful performance measure for the quality of online algorithms, it is recognized that it sometimes fails to distinguish between algorithms of different quality in practice. A number of…

数据结构与算法 · 计算机科学 2015-03-19 Joan Boyar , Kim S. Larsen , Abyayananda Maiti

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…

数据结构与算法 · 计算机科学 2019-04-22 Anupam Gupta , Guru Guruganesh , Binghui Peng , David Wajc

We consider non-clairvoyant scheduling with online precedence constraints, where an algorithm is oblivious to any job dependencies and learns about a job only if all of its predecessors have been completed. Given strong impossibility…

数据结构与算法 · 计算机科学 2023-01-31 Alexandra Lassota , Alexander Lindermayr , Nicole Megow , Jens Schlöter

We consider a general online stochastic optimization problem with multiple budget constraints over a horizon of finite time periods. In each time period, a reward function and multiple cost functions are revealed, and the decision maker…

机器学习 · 计算机科学 2022-07-26 Jiashuo Jiang , Xiaocheng Li , Jiawei Zhang

Motivated by the dynamic assortment offerings and item pricings occurring in e-commerce, we study a general problem of allocating finite inventories to heterogeneous customers arriving sequentially. We analyze this problem under the…

数据结构与算法 · 计算机科学 2019-05-14 Will Ma , David Simchi-Levi

We consider online scheduling on multiple machines for jobs arriving one-by-one with the objective of minimizing the makespan. For any number of identical parallel or uniformly related machines, we provide a competitive-ratio approximation…

数据结构与算法 · 计算机科学 2013-03-11 Nicole Megow , Andreas Wiese

Suppose that $n$ items arrive online in random order and the goal is to select $k$ of them such that the expected sum of the selected items is maximized. The decision for any item is irrevocable and must be made on arrival without knowing…

数据结构与算法 · 计算机科学 2020-12-02 Susanne Albers , Leon Ladewig

Stochastic dominance is a technique for evaluating the performance of online algorithms that provides an intuitive, yet powerful stochastic order between the compared algorithms. Accordingly this holds for bijective analysis, which can be…

数据结构与算法 · 计算机科学 2016-07-22 Spyros Angelopoulos , Marc P. Renault , Pascal Schweitzer

We study the \emph{bounded-delay model} for Qualify-of-Service buffer management. Time is discrete. There is a buffer. Unit-length jobs (also called \emph{packets}) arrive at the buffer over time. Each packet has an integer release time, an…

数据结构与算法 · 计算机科学 2011-08-02 Fei Li

We study stationary online bipartite matching, where both types of nodes--offline and online--arrive according to Poisson processes. Offline nodes wait to be matched for some random time, determined by an exponential distribution, while…

数据结构与算法 · 计算机科学 2024-11-14 Alireza AmaniHamedani , Ali Aouad , Tristan Pollner , Amin Saberi

Coalition formation explores how to partition a set of $n$ agents into disjoint coalitions according to their preferences. We consider a cardinal utility model with an additively separable aggregation of preferences and study the online…

计算机科学与博弈论 · 计算机科学 2025-03-11 Martin Bullinger , René Romen

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

数据结构与算法 · 计算机科学 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

Consider the problem: we are given $n$ boxes, labeled $\{1,2,\ldots, n\}$ by an adversary, each containing a single number chosen from an unknown distribution; these $n$ distributions are not necessarily identical. We are also given an…

数据结构与算法 · 计算机科学 2024-05-13 Mohammad Taghi Hajiaghayi , Dariusz R. Kowalski , Piotr Krysta , Jan Olkowski