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Burst contention is a well known challenging problem in Optical Burst Switching (OBS) networks. Deflection routing is used to resolve contention. Burst retransmission is used to reduce the Burst Loss Ratio (BLR) by retransmitting dropped…

Networking and Internet Architecture · Computer Science 2008-10-17 Martin Levesque , Halima Elbiaze , Wael Hosny Fouad Aly

In the last few decades, several novel algorithms have been designed for finding critical points on PES and the minimum energy paths connecting them. This has led to considerably improve our understanding of reaction mechanisms and kinetics…

Computational Engineering, Finance, and Science · Computer Science 2024-10-30 Sandra Liz Simon , Nitin Kaistha , Vishal Agarwal

This article reports an algorithm for multi-agent distributed optimization problems with a common decision variable, local linear equality and inequality constraints and set constraints with convergence rate guarantees.…

Systems and Control · Electrical Eng. & Systems 2022-11-17 Vivek Khatana , Murti V. Salapaka

This paper applies a discrete adjoint gradient computation method for a multi-class traffic flow model on road networks. Vehicle classes are characterized by their specific velocity functions, which depend on the total traffic density,…

Analysis of PDEs · Mathematics 2026-04-02 Paola Goatin , Axel Klar , Carmen Mezquita-Nieto

We propose a variant of alternating direction method of multiplier (ADMM) to solve constrained trajectory optimization problems. Our ADMM framework breaks a joint optimization into small sub-problems, leading to a low iteration cost and…

Robotics · Computer Science 2023-02-28 Ruiqi Ni , Zherong Pan , Xifeng Gao

We present a new method for parameter identification of ODE system descriptions based on data measurements. Our method works by splitting the system into a number of subsystems and working on each of them separately, thereby being easily…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Anastasis Georgoulas , Allan Clark , Andrea Ocone , Stephen Gilmore , Guido Sanguinetti

In this paper the projection hybrid FV/FE method presented in Busto et al. 2014 is extended to account for species transport equations. Furthermore, turbulent regimes are also considered thanks to the $k-\varepsilon$ model. Regarding the…

Numerical Analysis · Mathematics 2023-01-23 Saray Busto , Jose Luis Ferrin , Eleuterio F. Toro , Maria Elena Vazquez-Cendon

We present a framework for bi-level trajectory optimization in which a system's dynamics are encoded as the solution to a constrained optimization problem and smooth gradients of this lower-level problem are passed to an upper-level…

Optimization problems in process engineering, including design and operation, can often pose challenges to many solvers: multi-modal, non-smooth, and discontinuous models often with large computational requirements. In such cases, the…

Optimization and Control · Mathematics 2025-01-17 Eric S. Fraga , Veerawat Udomvorakulchai , Miguel Pineda , Lazaros G. Papageorgiou

In this work, we develop reduced order models (ROMs) to predict solutions to a multiscale kinetic transport equation with a diffusion limit under the parametric setting. When the underlying scattering effect is not sufficiently strong, the…

Numerical Analysis · Mathematics 2025-05-14 Tianyu Jin , Zhichao Peng , Yang Xiang

Interactive multi-agent simulation algorithms are used to compute the trajectories and behaviors of different entities in virtual reality scenarios. However, current methods involve considerable parameter tweaking to generate plausible…

Graphics · Computer Science 2018-12-04 Jiaping Ren , Wei Xiang , Yangxi Xiao , Ruigang Yang , Dinesh Manocha , Xiaogang Jin

Existing automated urban traffic management systems, designed to mitigate traffic congestion and reduce emissions in real time, face significant challenges in effectively adapting to rapidly evolving conditions. Predominantly reactive,…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Takao Dantsuji , Dong Ngoduy , Ziyuan Pu , Seunghyeon Lee , Hai L. Vu

Simulation of stochastic spatially-extended systems is a challenging problem. The fundamental quantities in these models are individual entities such as molecules, cells, or animals, which move and react in a random manner. In big systems,…

Quantitative Methods · Quantitative Biology 2024-09-24 Tomás Alarcón , Natalia Briñas-Pascual , Juan Calvo , Pilar Guerrero , Daria Stepanova

Stochastic models are often used to help understand the behavior of intracellular biochemical processes. The most common such models are continuous time Markov chains (CTMCs). Parametric sensitivities, which are derivatives of expectations…

Numerical Analysis · Mathematics 2014-11-19 Elizabeth Skubak Wolf , David F. Anderson

Autonomous mobility-on-demand systems are a viable alternative to mitigate many transportation-related externalities in cities, such as rising vehicle volumes in urban areas and transportation-related pollution. However, the success of…

Optimization and Control · Mathematics 2024-02-22 Kai Jungel , Axel Parmentier , Maximilian Schiffer , Thibaut Vidal

Disaster management is a complex problem demanding sophisticated modeling approaches. We propose utilizing a hybrid method involving inverse optimization to parameterize the cost functions for a road network's traffic equilibrium problem…

Optimization and Control · Mathematics 2021-10-04 Stephanie Allen , Daria Terekhov , Steven A. Gabriel

The paper provides global optimization algorithms for two particularly difficult nonconvex problems raised by hybrid system identification: switching linear regression and bounded-error estimation. While most works focus on local…

Machine Learning · Computer Science 2017-11-27 Fabien Lauer

Evolutionary multi-agent systems (EMASs) are very good at dealing with difficult, multi-dimensional problems, their efficacy was proven theoretically based on analysis of the relevant Markov-Chain based model. Now the research continues on…

Neural and Evolutionary Computing · Computer Science 2022-10-25 Mateusz Godzik , Jacek Dajda , Marek Kisiel-Dorohinicki , Aleksander Byrski , Leszek Rutkowski , Patryk Orzechowski , Joost Wagenaar , Jason H. Moore

The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

Chaotic Dynamics · Physics 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli

Hybrid locomotion, which combines multiple modalities of locomotion within a single robot, enables robots to carry out complex tasks in diverse environments. This paper presents a novel method for planning multi-modal locomotion…

Robotics · Computer Science 2020-08-05 H. J. Terry Suh , Xiaobin Xiong , Andrew Singletary , Aaron D. Ames , Joel W. Burdick