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The fractional knapsack problem is one of the classical problems in combinatorial optimization, which is well understood in the offline setting. However, the corresponding online setting has been handled only briefly in the theoretical…

数据结构与算法 · 计算机科学 2022-01-31 Jeff Giliberti , Andreas Karrenbauer

This work studies online scheduling algorithms for buffer management, develops new algorithms, and analyzes their performances. Packets arrive at a release time r, with a non-negative weight w and an integer deadline d. At each time step,…

数据结构与算法 · 计算机科学 2025-11-21 Nourhan Sakr , Cliff Stein

We consider the online machine minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. Our main result is a general…

数据结构与算法 · 计算机科学 2015-06-19 Lin Chen , Nicole Megow , Kevin Schewior

The combinatorial pricing problem (CPP) is a bilevel problem in which the leader maximizes their revenue by imposing tolls on certain items that they can control. Based on the tolls set by the leader, the follower selects a subset of items…

最优化与控制 · 数学 2025-06-10 Quang Minh Bui , Margarida Carvalho , José Neto

Most recent papers addressing the algorithmic problem of allocating advertisement space for keywords in sponsored search auctions assume that pricing is done via a first-price auction, which does not realistically model the Generalized…

数据结构与算法 · 计算机科学 2009-08-21 Yossi Azar , Benjamin Birnbaum , Anna R. Karlin , C. Thach Nguyen

Real-world optimization problems often do not just involve multiple objectives but also uncertain parameters. In this case, the goal is to find Pareto-optimal solutions that are robust, i.e., reasonably good under all possible realizations…

最优化与控制 · 数学 2023-11-06 Fabian Chlumsky-Harttmann , Marie Schmidt , Anita Schöbel

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

数据结构与算法 · 计算机科学 2021-04-20 Xiaocheng Li , Yinyu Ye

Online Bipartite Matching with random user arrival is a fundamental problem in the online advertisement ecosystem. Over the last 30 years, many algorithms and impossibility results have been developed for this problem. In particular, the…

数据结构与算法 · 计算机科学 2025-04-29 Flavio Chierichetti , Mirko Giacchini , Alessandro Panconesi , Andrea Vattani

In this paper we prove the efficacy of a simple greedy algorithm for a finite horizon online resource allocation/matching problem, when the corresponding static planning linear program (SPP) exhibits a non-degeneracy condition called the…

数据结构与算法 · 计算机科学 2022-07-26 Varun Gupta

The Multi-Objective Shortest Path Problem (MO-SPP), typically posed on a graph, determines a set of paths from a start vertex to a destination vertex while optimizing multiple objectives. In general, there does not exist a single solution…

最优化与控制 · 数学 2023-07-11 Valmiki Kothare , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

In this paper, we present a framework used to construct and analyze algorithms for online optimization problems with deadlines or with delay over a metric space. Using this framework, we present algorithms for several different problems. We…

数据结构与算法 · 计算机科学 2019-04-16 Yossi Azar , Noam Touitou

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

We address the challenge of finding algorithms for online allocation (i.e. bipartite matching) using a machine learning approach. In this paper, we focus on the AdWords problem, which is a classical online budgeted matching problem of both…

机器学习 · 计算机科学 2020-10-19 Goran Zuzic , Di Wang , Aranyak Mehta , D. Sivakumar

In today's construction industry, poor performance often arises due to various factors related to time, finances, and quality. These factors frequently lead to project delays and resource losses, particularly in terms of financial…

最优化与控制 · 数学 2024-01-24 Ali Mohammadjafari , Seyed Farid Ghannadpour , Morteza Bagherpour , Fatemeh Zandieh

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

In several applications of real-time matching of demand to supply in online marketplaces, the platform allows for some latency to batch the demand and improve the efficiency. Motivated by these applications, we study the optimal trade-off…

数据结构与算法 · 计算机科学 2022-12-01 Yiding Feng , Rad Niazadeh

Online-learning research has mainly been focusing on minimizing one objective function. In many real-world applications, however, several objective functions have to be considered simultaneously. Recently, an algorithm for dealing with…

机器学习 · 计算机科学 2017-03-21 Guy Uziel , Ran El-Yaniv

We consider a variant of the online buffer management problem in network switches, called the $k$-frame throughput maximization problem ($k$-FTM). This problem models the situation where a large frame is fragmented into $k$ packets and…

数据结构与算法 · 计算机科学 2013-09-23 Jun Kawahara , Koji M. Kobayashi , Shuichi Miyazaki

The study of online algorithms with machine-learned predictions has gained considerable prominence in recent years. One of the common objectives in the design and analysis of such algorithms is to attain (Pareto) optimal tradeoffs between…

机器学习 · 计算机科学 2024-08-09 Spyros Angelopoulos , Christoph Dürr , Alex Elenter , Yanni Lefki

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