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This paper studies the problem of maximizing a monotone submodular function under an unknown knapsack constraint. A solution to this problem is a policy that decides which item to pack next based on the past packing history. The robustness…

Data Structures and Algorithms · Computer Science 2024-10-25 Max Klimm , Martin Knaack

This papers considers the problem of maximizing the load that can be served by a power network. We use the commonly accepted Linear DC power network model and consider wo configuration options: switching lines and using FACTS devices. We…

Computational Complexity · Computer Science 2015-07-20 Karsten Lehmann , Alban Grastien , Pascal Van Hentenryck

This paper presents a parametric quadratic approximation of the AC optimal power flow (AC-OPF) problem for time-sensitive and market-based applications. The parametric approximation preserves the physics-based but simple representation…

Optimization and Control · Mathematics 2024-10-25 Gonzalo E. Constante-Flores , André H. Quisaguano , Antonio J. Conejo , Can Li

Stable matching is a fundamental area with many practical applications, such as centralised clearinghouses for school choice or job markets. Recent work has introduced the paradigm of near-feasibility in capacitated matching settings, where…

Computer Science and Game Theory · Computer Science 2026-02-12 Frederik Glitzner

This paper studies a class of dynamic Stackelberg games under open-loop information structure with constrained linear agent dynamics and quadratic utility functions. We show two important properties for this class of dynamic Stackelberg…

Optimization and Control · Mathematics 2016-08-09 Sen Li , Wei Zhang , Jianming Lian , Karanjit Kalsi

Knapsack problems (KPs) are common in industry, but solving KPs is known to be NP-hard and has been tractable only at a relatively small scale. This paper examines KPs in a slightly generalized form and shows that they can be solved nearly…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-06 Xingwen Zhang , Feng Qi , Zhigang Hua , Shuang Yang

We investigate a variant of the so-called "Internet Shopping Problem" introduced by Blazewicz et al. (2010), where a customer wants to buy a list of products at the lowest possible total cost from shops which offer discounts when purchases…

Data Structures and Algorithms · Computer Science 2022-08-29 Laurent Bulteau , Danny Hermelin , Anthony Labarre , Stéphane Vialette

We consider assortment optimization over a continuous spectrum of products represented by the unit interval, where the seller's problem consists of determining the optimal subset of products to offer to potential customers. To describe the…

Machine Learning · Statistics 2021-04-15 Yannik Peeters , Arnoud V. den Boer , Michel Mandjes

This paper presents a decentralized Multi-Agent Reinforcement Learning (MARL) approach to an incentive-based Demand Response (DR) program, which aims to maintain the capacity limits of the electricity grid and prevent grid congestion by…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Jasper van Tilburg , Luciano C. Siebert , Jochen L. Cremer

In the maximum constraint satisfaction problem (MAX CSP), one is given a finite collection of (possibly weighted) constraints on overlapping sets of variables, and the goal is to assign values from a given finite domain to the variables so…

Computational Complexity · Computer Science 2007-05-23 Vladimir Deineko , Peter Jonsson , Mikael Klasson , Andrei Krokhin

We consider a control problem involving several agents coupled through multiple unit-demand resources. Such resources are indivisible, and each agent's consumption is modeled as a Bernoulli random variable. Controlling the number of such…

Systems and Control · Computer Science 2019-04-30 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

Crowdsourced delivery (CSD) is an emerging business model that leverages the underutilized or excess capacity of individual drivers to fulfill delivery tasks. This paper presents a general formulation of a larege-scale two-sided CSD…

Optimization and Control · Mathematics 2024-12-31 Yuki Oyama , Takashi Akamatsu

This paper deals with the market-bidding problem of a cluster of price-responsive consumers of electricity. We develop an inverse optimization scheme that, recast as a bilevel programming problem, uses price-consumption data to estimate the…

Optimization and Control · Mathematics 2015-11-04 Javier Saez-Gallego , Juan M. Morales , Marco Zugno , Henrik Madsen

Algorithmic pricing is the computational problem that sellers (e.g., in supermarkets) face when trying to set prices for their items to maximize their profit in the presence of a known demand. Guruswami et al. (2005) propose this problem…

Computer Science and Game Theory · Computer Science 2008-08-13 Shuchi Chawla , Jason Hartline , Robert Kleinberg

In this paper we consider the coupled task scheduling problem with exact delay times on a single machine with the objective of minimizing the total completion time of the jobs. We provide constant-factor approximation algorithms for several…

Optimization and Control · Mathematics 2024-05-03 David Fischer , Péter Györgyi

Cyber Physical Systems (CPSs) are the result of convergence of computation, networking, and control of physical process. In this paper, we consider an industrial CPS consisting of several control plants and Rate Constrained (RC) users that…

Networking and Internet Architecture · Computer Science 2019-09-27 Atefeh. Termehchi , Mehdi. Rasti

We consider a rate-constrained contextual multi-armed bandit (RC-CMAB) problem, in which a group of agents are solving the same contextual multi-armed bandit (CMAB) problem. However, the contexts are observed by a remotely connected entity,…

Machine Learning · Computer Science 2022-04-28 Francesco Pase , Deniz Gündüz , Michele Zorzi

Constraint satisfaction problems (or CSPs) have been extensively studied in, for instance, artificial intelligence, database theory, graph theory, and statistical physics. From a practical viewpoint, it is beneficial to approximately solve…

Computational Complexity · Computer Science 2012-10-17 Tomoyuki Yamakami

In this paper, we consider the classic stochastic (dynamic) knapsack problem, a fundamental mathematical model in revenue management, with general time-varying random demand. Our main goal is to study the optimal policies, which can be…

Optimization and Control · Mathematics 2018-07-19 Yingdong Lu

We study the problem of finding a small subset of items that is \emph{agreeable} to all agents, meaning that all agents value the subset at least as much as its complement. Previous work has shown worst-case bounds, over all instances with…

Computer Science and Game Theory · Computer Science 2019-02-06 Pasin Manurangsi , Warut Suksompong