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In this paper, we propose a stochastic model to describe how search service providers charge client companies based on users' queries for the keywords related to these companies' ads by using certain advertisement assignment strategies. We…

Data Structures and Algorithms · Computer Science 2012-09-10 Bo Tan , R. Srikant

The queue system,with Poisson arrivals,constant service time and infinite servers, busy period distribution is intensively studied because, due to its probability density function quite easy interpretation, it may serve as a clue to…

Probability · Mathematics 2021-09-23 Manuel Alberto M. Ferreira

To perform a queuing analysis or design in a communications context, we need to estimate the values of the input parameters, specifically the mean of the arrival rate and service time. In this paper, we propose an approach for estimating…

Applications · Statistics 2008-02-26 Xinjia Chen

We consider the setting of online computation with advice, and study the bin packing problem and a number of scheduling problems. We show that it is possible, for any of these problems, to arbitrarily approach a competitive ratio of $1$…

Data Structures and Algorithms · Computer Science 2015-08-06 Marc P. Renault , Adi Rosén , Rob van Stee

Online decision making aims to learn the optimal decision rule by making personalized decisions and updating the decision rule recursively. It has become easier than before with the help of big data, but new challenges also come along.…

Machine Learning · Statistics 2020-10-16 Haoyu Chen , Wenbin Lu , Rui Song

This paper formalizes a demand response task as an optimization problem featuring a known time-varying engineering cost and an unknown (dis)comfort function. Based on this model, this paper develops a feedback-based projected gradient…

Optimization and Control · Mathematics 2020-06-15 Ana M. Ospina , Andrea Simonetto , Emiliano Dall'Anese

We develop a new framework for designing online policies given access to an oracle providing statistical information about an offline benchmark. Having access to such prediction oracles enables simple and natural Bayesian selection…

Data Structures and Algorithms · Computer Science 2020-02-28 Alberto Vera , Siddhartha Banerjee

This study explores the problem of Multi-Agent Path Finding with continuous and stochastic travel times whose probability distribution is unknown. Our purpose is to manage a group of automated robots that provide package delivery services…

Robotics · Computer Science 2023-02-06 Atsuyoshi Kita , Nobuhiro Suenari , Masashi Okada , Tadahiro Taniguchi

With similarity-based content delivery, the request for a content can be satisfied by delivering a related content under a dissimilarity cost. This letter addresses the joint optimization of caching and similarity-based delivery decisions…

Networking and Internet Architecture · Computer Science 2020-10-16 Jizhe Zhou , Osvaldo Simeone , Xing Zhang , Wenbo Wang

We investigate the problem of fairly allocating $m$ indivisible items among $n$ sequentially arriving agents with additive valuations, under the sought-after fairness notion of maximin share (MMS). We first observe a strong impossibility:…

Computer Science and Game Theory · Computer Science 2025-07-25 Pooja Kulkarni , Ruta Mehta , Parnian Shahkar

We study a common delivery problem encountered in nowadays online food-ordering platforms: Customers order dishes online, and the restaurant delivers the food after receiving the order. Specifically, we study a problem where $k$ vehicles of…

Data Structures and Algorithms · Computer Science 2021-11-04 Xiangyu Guo , Shi Li , Kelin Luo , Yuhao Zhang

This paper considers a class of real-time decision making problems to minimize the expected value of a function that depends on a random variable $\xi$ under an unknown distribution $\mathbb{P}$. In this process, samples of $\xi$ are…

Optimization and Control · Mathematics 2020-09-08 Dan Li , Sonia Martinez

We study the problem of fairly allocating indivisible goods to agents in an online setting, where goods arrive sequentially and must be allocated irrevocably. Focusing on the popular fairness notions of envy-freeness, proportionality, and…

Computer Science and Game Theory · Computer Science 2026-05-29 Tzeh Yuan Neoh , Jannik Peters , Nicholas Teh

Stochastic optimization is a widely used approach for optimization under uncertainty, where uncertain input parameters are modeled by random variables. Exact or approximation algorithms have been obtained for several fundamental problems in…

Machine Learning · Computer Science 2025-08-14 Arpit Agarwal , Rohan Ghuge , Viswanath Nagarajan , Zhengjia Zhuo

We study an online allocation problem with sequentially arriving items and adversarially chosen agent values, with the goal of balancing fairness and efficiency. Our goal is to study the performance of algorithms that achieve strong…

Computer Science and Game Theory · Computer Science 2023-08-21 Zongjun Yang , Luofeng Liao , Christian Kroer

We study an online resource allocation problem under uncertainty about demand and about the reward of each type of demand (agents) for the resource. Even though dealing with demand uncertainty in resource allocation problems has been the…

Optimization and Control · Mathematics 2022-10-11 Negin Gorlezaei , Patrick Jaillet , Zijie Zhou

We study an online version of the max-min fair allocation problem for indivisible items. In this problem, items arrive one by one, and each item must be allocated irrevocably on arrival to one of $n$ agents, who have additive valuations for…

Computer Science and Game Theory · Computer Science 2021-11-16 Yasushi Kawase , Hanna Sumita

We analyze the competitive ratio and the advice complexity of the online unbounded knapsack problem. An instance is given as a sequence of n items with a size and a value each, and an algorithm has to decide how often to pack each item into…

Data Structures and Algorithms · Computer Science 2024-11-01 Hans-Joachim Böckenhauer , Matthias Gehnen , Juraj Hromkovič , Ralf Klasing , Dennis Komm , Henri Lotze , Daniel Mock , Peter Rossmanith , Moritz Stocker

In online combinatorial allocations/auctions, n bidders sequentially arrive, each with a combinatorial valuation (such as submodular/XOS) over subsets of m indivisible items. The aim is to immediately allocate a subset of the remaining…

Computer Science and Game Theory · Computer Science 2024-09-18 Paul Dütting , Thomas Kesselheim , Brendan Lucier , Rebecca Reiffenhäuser , Sahil Singla

We study a multi-server queueing system with a periodic arrival rate and customers whose joining decision is based on their patience and a delay proxy. Specifically, each customer has a patience level sampled from a common distribution.…

Probability · Mathematics 2024-03-25 Shreehari Anand Bodas , Michel Mandjes , Liron Ravner