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This paper considers a distributed stochastic optimization problem where the goal is to minimize the time average of a cost function subject to a set of constraints on the time averages of a related stochastic processes called penalties. We…

Information Theory · Computer Science 2016-10-06 B. N. Bharath , Vaishali P

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

Data Structures and Algorithms · Computer Science 2023-10-25 Andre Linhares , Chaitanya Swamy

In this work we are concerned with the design of efficient mechanisms while eliciting limited information from the agents. First, we study the performance of sampling approximations in facility location games. Our key result is to show that…

Computer Science and Game Theory · Computer Science 2022-08-26 Ioannis Anagnostides , Dimitris Fotakis , Panagiotis Patsilinakos

We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

Computer Science and Game Theory · Computer Science 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan

We study a sequential resource allocation problem between a fixed number of arms. On each iteration the algorithm distributes a resource among the arms in order to maximize the expected success rate. Allocating more of the resource to a…

Machine Learning · Computer Science 2018-03-29 Yuval Dagan , Koby Crammer

In this paper, we propose a distributed stochastic second-order proximal method that enables agents in a network to cooperatively minimize the sum of their local loss functions without any centralized coordination. The proposed algorithm,…

Optimization and Control · Mathematics 2022-11-22 Chenyang Qiu , Shanying Zhu , Zichong Ou , Jie Lu

We study revenue maximization through sequential posted-price (SPP) mechanisms in single-dimensional settings with $n$ buyers and independent but not necessarily identical value distributions. We construct the SPP mechanisms by considering…

Computer Science and Game Theory · Computer Science 2021-01-11 Hedyeh Beyhaghi , Negin Golrezaei , Renato Paes Leme , Martin Pal , Balasubramanian Sivan

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

Scenario reduction algorithms can be an effective means to provide a tractable description of the uncertainty in optimal control problems. However, they might significantly compromise the performance of the controlled system. In this paper,…

Optimization and Control · Mathematics 2024-04-12 Francesco Cordiano , Bart De Schutter

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

We present a randomized distributed approximation algorithm for the metric uncapacitated facility location problem. The algorithm is executed on a bipartite graph in the Congest model yielding a (1.861 + epsilon) approximation factor, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-09 Patrick Briest , Bastian Degener , Barbara Kempkes , Peter Kling , Peter Pietrzyk

We study a variation of facility location problems (FLPs) that aims to improve the accessibility of agents to the facility within the context of mechanism design without money. In such a variation, agents have preferences on the ideal…

Computer Science and Game Theory · Computer Science 2024-09-16 Hau Chan , Jianan Lin , Chenhao Wang , Yanxi Xie

Location Routing is a fundamental planning problem in logistics, in which strategic location decisions on the placement of facilities (depots, distribution centers, warehouses etc.) are taken based on accurate estimates of operational…

Discrete Mathematics · Computer Science 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

The problem of scheduling unrelated machines by a truthful mechanism to minimize the makespan was introduced in the seminal "Algorithmic Mechanism Design" paper by Nisan and Ronen. Nisan and Ronen showed that there is a truthful mechanism…

Computer Science and Game Theory · Computer Science 2020-11-17 Shahar Dobzinski , Ariel Shaulker

One often encounters the curse of dimensionality in the application of dynamic programming to determine optimal policies for controlled Markov chains. In this paper, we provide a method to construct sub-optimal policies along with a bound…

Systems and Control · Computer Science 2011-08-17 Myoungkuk Park , Krishnamoorthy Kalyanam , Swaroop Darbha , Phil Chandler , Meir Pachter

We study a truthful two-facility location problem in which a set of agents have private positions on the line of real numbers and known approval preferences over two different facilities. Given the locations of the two facilities, the cost…

Computer Science and Game Theory · Computer Science 2024-01-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

We consider a truthful facility location problem in which there is a set of agents with private locations on the line of real numbers, and the goal is to place a number of facilities at different locations chosen from the set of those…

Computer Science and Game Theory · Computer Science 2025-02-18 Argyrios Deligkas , Mohammad Lotfi , Alexandros A. Voudouris

A fundamental resource allocation setting is the random assignment problem in which agents express preferences over objects that are then randomly allocated to the agents. In 2001, Bogomolnaia and Moulin presented the probabilistic serial…

Computer Science and Game Theory · Computer Science 2016-04-27 Haris Aziz , Pang Luo , Christine Rizkallah

We study the scheduling problem on unrelated machines in the mechanism design setting. This problem was proposed and studied in the seminal paper (Nisan and Ronen 1999), where they gave a 1.75-approximation randomized truthful mechanism for…

Data Structures and Algorithms · Computer Science 2008-02-21 Pinyan Lu , Changyuan Yu

Scenario reduction (SR) aims to identify a small yet representative scenario set to depict the underlying uncertainty, which is critical to scenario-based stochastic optimization (SBSO) of power systems. Existing SR techniques commonly aim…

Optimization and Control · Mathematics 2025-06-16 Yingrui Zhuang , Lin Cheng , Ning Qi , Mads R. Almassalkhi , Feng Liu
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