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Ridesharing platforms match drivers and riders to trips, using dynamic prices to balance supply and demand. A challenge is to set prices that are appropriately smooth in space and time, so that drivers with the flexibility to decide how to…

Computer Science and Game Theory · Computer Science 2021-09-20 Hongyao Ma , Fei Fang , David C. Parkes

Linear time-periodic (LTP) dynamical systems frequently appear in the modeling of phenomena related to fluid dynamics, electronic circuits, and structural mechanics via linearization centered around known periodic orbits of nonlinear…

Numerical Analysis · Mathematics 2017-06-13 Caleb C. Magruder , Serkan Gugercin , Christopher A. Beattie

We consider the problem of efficiently scheduling the production of goods for a model steel manufacturing company. We propose a new approach for solving this classic problem, using techniques from the statistical physics of complex networks…

Physics and Society · Physics 2012-06-14 Osamu Yamaguchi , Soumen Roy , Raissa M. D'Souza

Continuous-time primal-dual gradient dynamics (PDGD) is an ubiquitous approach for dynamically solving constrained distributed optimization problems. Yet, the distributed nature of the dynamics makes it prone to communication uncertainties,…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Gökçen Devlet Şen , Juan E. Machado , Gülay Öke Günel , Johannes Schiffer

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

Logic in Computer Science · Computer Science 2026-04-30 Marnix Suilen , Guillermo A. Pérez

We present a novel method to compute unstable periodic orbits (UPOs) that optimize the infinite-time average of a given quantity for polynomial ODE systems. The UPO search procedure relies on polynomial optimization to construct nonnegative…

Dynamical Systems · Mathematics 2021-09-22 Mayur Lakshmi , Giovanni Fantuzzi , Sergei Chernyshenko , Davide Lasagna

Freight carriers rely on tactical plans to satisfy demand in a cost-effective way. For computational tractability in real large-scale settings, such plans are typically computed by solving deterministic and cyclic formulations. An important…

Optimization and Control · Mathematics 2021-08-20 Greta Laage , Emma Frejinger , Gilles Savard

In this paper, we explore how a natural generalization of Shortest Remaining Processing Time (SRPT) can be a powerful \emph{meta-algorithm} for online scheduling. The meta-algorithm processes jobs to maximally reduce the objective of the…

Data Structures and Algorithms · Computer Science 2024-09-06 Qingyun Chen , Sungjin Im , Aditya Petety

This paper offers a methodological contribution at the intersection of machine learning and operations research. Namely, we propose a methodology to quickly predict tactical solutions to a given operational problem. In this context, the…

Machine Learning · Computer Science 2022-06-10 Eric Larsen , Sébastien Lachapelle , Yoshua Bengio , Emma Frejinger , Simon Lacoste-Julien , Andrea Lodi

This paper introduces a new mobile sensor scheduling problem, involving a single robot tasked with monitoring several events of interest that occur at different locations. Of particular interest is the monitoring of transient events that…

Robotics · Computer Science 2014-09-16 Jingjin Yu , Sertac Karaman , Daniela Rus

We show a methodology for the computation of the probability of deadline miss for a periodic real-time task scheduled by a resource reservation algorithm. We propose a modelling technique for the system that reduces the computation of such…

Performance · Computer Science 2016-04-28 Luigi Palopoli , Daniele Fontanelli , Luca Abeni , Bernardo Villalba Frías

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

Optimization and Control · Mathematics 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

We consider the classical scheduling problem on parallel identical machines to minimize the makespan, and achieve the following results under the Exponential Time Hypothesis (ETH) 1. The scheduling problem on a constant number $m$ of…

Computational Complexity · Computer Science 2013-10-02 Lin Chen , Klaus Jansen , Guochuan Zhang

The scheduling of task graphs with communication delays has been extensively studied. Recently, new results for the common sub-case of fork-join shaped task graphs were published, including an EPTAS and polynomial algorithms for special…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-06 Huijun Wang , Oliver Sinnen

For general multi-hop queueing networks, delay optimal network control has unfortunately been an outstanding problem. The dynamic backpressure (BP) algorithm elegantly achieves throughput optimality, but does not yield good delay…

Information Theory · Computer Science 2015-04-22 Ying Cui , Edmund M. Yeh , Ran Liu

Robust optimization is a widely studied area in operations research, where the algorithm takes as input a range of values and outputs a single solution that performs well for the entire range. Specifically, a robust algorithm aims to…

Data Structures and Algorithms · Computer Science 2020-05-19 Arun Ganesh , Bruce M. Maggs , Debmalya Panigrahi

Using strategic timetables as input for railway network design has become increasingly popular among western European railway infrastructure operators. Although both railway timetabling and railway network design on their own are well…

Optimization and Control · Mathematics 2023-08-02 Tim Sander , Nadine Friesen , Karl Nachtigall , Nils Nießen

This paper studies the problem of event-triggered impulsive control for discrete-time systems. A novel periodic event-triggering scheme with two tunable parameters is presented to determine the moments of updating impulsive control signals…

Optimization and Control · Mathematics 2023-04-28 Kexue Zhang , Elena Braverman

In this paper, we investigate the delay-aware dynamic resource management problem for multi-service transmission in high-speed railway wireless communications, with a focus on resource allocation among the services and power control along…

Networking and Internet Architecture · Computer Science 2016-01-08 Shengfeng Xu , Gang Zhu , Chao Shen , Shichao Li , Zhangdui Zhong

In recent advances in solving the problem of transmission network expansion planning, the use of robust optimization techniques has been put forward, as an alternative to stochastic mathematical programming methods, to make the problem…

Computational Engineering, Finance, and Science · Computer Science 2016-09-28 Roberto Minguez , Raquel Garcia-Bertrand