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相关论文: Prophet Inequality with Correlated Arrival Probabi…

200 篇论文

We study a fundamental problem in optimization under uncertainty. There are $n$ boxes; each box $i$ contains a hidden reward $x_i$. Rewards are drawn i.i.d. from an unknown distribution $\mathcal{D}$. For each box $i$, we see $y_i$, an…

计算机科学与博弈论 · 计算机科学 2023-07-13 Kamyar Azizzadenesheli , Trung Dang , Aranyak Mehta , Alexandros Psomas , Qian Zhang

We study the online preemptive scheduling of intervals and jobs (with restarts). Each interval or job has an arrival time, a deadline, a length and a weight. The objective is to maximize the total weight of completed intervals or jobs.…

数据结构与算法 · 计算机科学 2012-04-16 Stanley P. Y. Fung , Chung Keung Poon , Feifeng Zheng

The $b$-matching problem is an allocation problem where the vertices on the left-hand side of a bipartite graph, referred to as servers, may be matched multiple times. In the setting with stochastic rewards, an assignment between an…

数据结构与算法 · 计算机科学 2024-11-27 Susanne Albers , Sebastian Schubert

We present prior robust algorithms for a large class of resource allocation problems where requests arrive one-by-one (online), drawn independently from an unknown distribution at every step. We design a single algorithm that, for every…

数据结构与算法 · 计算机科学 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

We study the problem of selling identical goods to n unit-demand bidders in a setting in which the total supply of goods is unknown to the mechanism. Items arrive dynamically, and the seller must make the allocation and payment decisions…

计算机科学与博弈论 · 计算机科学 2009-05-22 Moshe Babaioff , Liad Blumrosen , Aaron L. Roth

We study an edge-weighted online stochastic \emph{Generalized Assignment Problem} with \emph{unknown} Poisson arrivals. In this model, we consider a bipartite graph that contains offline bins and online items, where each offline bin is…

计算机科学与博弈论 · 计算机科学 2023-05-25 Zihao Li , Hao Wang , Zhenzhen Yan

We study online selection problems in both the prophet and secretary settings, when arriving agents have interdependent values. In the interdependent values model, introduced in the seminal work of Milgrom and Weber [1982], each agent has a…

计算机科学与博弈论 · 计算机科学 2024-04-10 Simon Mauras , Divyarthi Mohan , Rebecca Reiffenhäuser

We consider a matching problem, which is meaningful in team competitions, as well as in information theory, recommender systems, and assignment problems. In the competitions which we study, each competitor in a team order plays a match with…

计算机科学与博弈论 · 计算机科学 2026-05-21 Haris Aziz , Jiarui Gan , Grzegorz Lisowski , Ali Pourmiri

There is a rising interest for studying the online benchmark as an alternative of the classical offline benchmark in online stochastic settings. Ezra, Feldman, Gravin, and Tang (SODA 2023) introduced the notion of order-competitive ratio,…

数据结构与算法 · 计算机科学 2024-06-24 Liyan Chen , Nuozhou Sun , Zhihao Gavin Tang

We study the problem of matching agents who arrive at a marketplace over time and leave after d time periods. Agents can only be matched while they are present in the marketplace. Each pair of agents can yield a different match value, and…

数据结构与算法 · 计算机科学 2018-08-13 Itai Ashlagi , Maximilien Burq , Chinmoy Dutta , Patrick Jaillet , Amin Saberi , Chris Sholley

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

最优化与控制 · 数学 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

We study the problem of vertex-weighted online bipartite matching with stochastic rewards where matches may fail with some known probability and the decision maker has to adapt to the sequential realization of these outcomes. Recent works…

数据结构与算法 · 计算机科学 2024-01-10 Rajan Udwani

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 the problem of online unweighted interval selection, the objective is to maximize the number of non-conflicting intervals accepted by the algorithm. In the conventional online model of irrevocable decisions, there is an Omega(n) lower…

数据结构与算法 · 计算机科学 2025-06-03 Allan Borodin , Christodoulos Karavasilis

We consider a matching system with random arrivals of items of different types. The items wait in queues -- one per each item type -- until they are "matched." Each matching requires certain quantities of items of different types; after a…

概率论 · 数学 2018-04-24 Mohammadreza Nazari , Alexander L. Stolyar

This paper considers a variant of the online paging problem, where the online algorithm has access to multiple predictors, each producing a sequence of predictions for the page arrival times. The predictors may have occasional prediction…

数据结构与算法 · 计算机科学 2020-11-20 Yuval Emek , Shay Kutten , Yangguang Shi

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

数据结构与算法 · 计算机科学 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

We study adaptive two-sided assortment optimization for revenue maximization in choice-based matching platforms. The platform has two sides of agents, an initiating side, and a responding side. The decision-maker sequentially selects agents…

计算机科学与博弈论 · 计算机科学 2025-08-13 Mohammadreza Ahmadnejadsaein , Omar El Housni

This note records a common threshold/surplus decomposition for single-threshold stopping rules in the classical prophet inequality. The same decomposition is used to certify several deterministic thresholds, including the median, half-mean,…

概率论 · 数学 2026-05-28 Jiechen Zhang

The interval scheduling problem is one variant of the scheduling problem. In this paper, we propose a novel variant of the interval scheduling problem, whose definition is as follows: given jobs are specified by their {\em release times},…

数据结构与算法 · 计算机科学 2018-05-16 Koji M. Kobayashi