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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

One of the main operational challenges faced by the operators of one-way car-sharing systems is to ensure vehicle availability across the regions of the service areas with uneven patterns of rental requests. Fleet balancing strategies are…

Networking and Internet Architecture · Computer Science 2025-01-24 Riccardo Iacobucci , Raffaele Bruno , Chiara Boldrini

Although adaptive optimization algorithms have been successful in many applications, there are still some mysteries in terms of convergence analysis that have not been unraveled. This paper provides a novel non-convex analysis of adaptive…

Optimization and Control · Mathematics 2025-04-08 Zhishuai Guo , Yi Xu , Wotao Yin , Rong Jin , Tianbao Yang

A multi-period planning framework is proposed that exploits multi-step ahead traffic predictions to address service overprovisioning and improve adaptability to traffic changes, while ensuring the necessary quality-of-service (QoS) levels.…

Networking and Internet Architecture · Computer Science 2025-02-13 Hafsa Maryam , Tania Panayiotou , Georgios Ellinas

In this note we introduce a new model for the mailing problem in branched transportation in order to allow the cost functional to take into account the orientation of the moving particles. This gives an effective answer to [Problem 15.9] of…

Analysis of PDEs · Mathematics 2020-06-30 Marcello Carioni , Andrea Marchese , Annalisa Massaccesi , Alessandra Pluda , Riccardo Tione

Autonomous driving has a natural bi-level structure. The goal of the upper behavioural layer is to provide appropriate lane change, speeding up, and braking decisions to optimize a given driving task. However, this layer can only indirectly…

Robotics · Computer Science 2022-12-06 Arun Kumar Singh , Jatan Shrestha , Nicola Albarella

The traffic assignment problem (TAP) aims to predict how traffic flows distribute themselves across a road network, traditionally requiring computationally expensive iterative simulations to reach a user equilibrium (UE) where no driver can…

Optimization and Control · Mathematics 2026-05-08 Isolda Cardoso , Lucas Venturato , Jorgelina Walpen

Traffic flow forecasting is a crucial task in transportation management and planning. The main challenges for traffic flow forecasting are that (1) as the length of prediction time increases, the accuracy of prediction will decrease; (2)…

Artificial Intelligence · Computer Science 2024-05-13 Jianli Xiao , Baichao Long

An universal primal-dual approach of description equilibriums in large class of hierarchical congestion population games is proposed. At the very core of the approach is hierarchy of enclosed to each other transport networks. In different…

Optimization and Control · Mathematics 2016-03-09 Alexander Gasnikov , Evgenia Gasnikova , Sergey Matsievsky , Inna Usik

This study presents optimization problems to jointly determine long-term network design, mid-term fleet sizing strategy, and short-term routing and ridesharing matching in shared autonomous vehicle (SAV) systems with pre-booked and…

Optimization and Control · Mathematics 2024-09-19 Riki Kawase

The goal of this work is to provide a viable solution based on reinforcement learning for traffic signal control problems. Although the state-of-the-art reinforcement learning approaches have yielded great success in a variety of domains,…

Machine Learning · Computer Science 2020-05-20 Yueh-Hua Wu , I-Hau Yeh , David Hu , Hong-Yuan Mark Liao

A large number of application problems involve two levels of optimization, where one optimization task is nested inside the other. These problems are known as bilevel optimization problems and have been studied by both classical…

Optimization and Control · Mathematics 2017-05-09 Ankur Sinha , Zhichao Lu , Kalyanmoy Deb , Pekka Malo

The cross-dock door design problem consists of deciding the strip and stack doors and nominal capacity of an entity under uncertainty. Inbound commodity flow from origin nodes is assigned to the strip doors, it is consolidated in the…

Optimization and Control · Mathematics 2025-06-03 Laureano F. Escudero , M. Araceli Garín , Aitziber Unzueta

Managing all the mobility and transportation services with autonomous vehicles for users of a smart city requires determining the assignment of the vehicles to the users and their routing in conjunction with their speed. Such decisions must…

Optimization and Control · Mathematics 2022-10-10 Tommaso Giovannelli , Luis Nunes Vicente

We consider ride-sharing networks served by human-driven vehicles (HVs) and autonomous vehicles (AVs). We propose a model for ride-sharing in this mixed autonomy setting for a multi-location network in which a ride-sharing platform sets…

Systems and Control · Electrical Eng. & Systems 2020-02-06 Qinshuang Wei , Ramtin Pedarsani , Samuel Coogan

We introduce a method for solving the "inverse" phase equilibria problem: How should the interactions among a collection of molecular species be designed in order to achieve a target phase diagram? Using techniques from convex optimization…

Soft Condensed Matter · Physics 2023-06-06 Fan Chen , William M. Jacobs

We investigate in this work a versatile convex framework for multiple image segmentation, relying on the regularized optimal mass transport theory. In this setting, several transport cost functions are considered and used to match…

Computer Vision and Pattern Recognition · Computer Science 2016-10-06 Nicolas Papadakis , Julien Rabin

We propose a distributed method to solve a multi-agent optimization problem with strongly convex cost function and equality coupling constraints. The method is based on Nesterov's accelerated gradient approach and works over stochastically…

Optimization and Control · Mathematics 2020-12-17 Wicak Ananduta , Carlos Ocampo-Martinez , Angelia Nedić

In the large collection of existing distributed algorithms for convex multi-agent optimization, only a handful of them provide convergence rate guarantees on agent networks with time-varying topologies, which, however, restrict the problem…

Optimization and Control · Mathematics 2018-04-06 Xuyang Wu , Jie Lu

This paper presents a comprehensive review of techniques proposed in the literature for solving bilevel optimization problems encountered in various real-life applications. Bilevel optimization is an appropriate choice for hierarchical…

Optimization and Control · Mathematics 2025-11-06 Dhaval Pujara , Ankur Sinha