Article
Mathematics, Applied
A. Kaltenbach, M. Ruzicka
Summary: In this paper, a fully-discrete approximation method for an abstract evolution equation is proposed, which combines a non-conforming spatial approximation and finite differences in time (Rothe-Galerkin method). The main result shows the convergence of the discrete solutions to the weak solution of the continuous problem. The method can be seen as a numerical justification or an alternative construction of weak solutions.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2023)
Article
Economics
Pieter Jacob Storm, Michel Mandjes, Bart van Arem
Summary: This paper studies a Gaussian process approximation for a class of stochastic traffic flow models and demonstrates its effectiveness in evaluating joint vehicle-density distributions in road traffic networks. It discusses the computational complexity and impact of the assumption regarding vehicles' headways on the approximation accuracy.
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
(2022)
Article
Mathematics, Applied
Luigi C. Berselli, Alex Kaltenbach, Michael Ruzicka
Summary: This paper considers fully discrete approximations of abstract evolution equations using a quasi non-conforming spatial approximation and finite differences in time. The main result shows convergence of discrete solutions to weak solutions of the continuous problem, providing justification for the numerical method or an alternative way of constructing weak solutions. By setting the problem in the abstract setting of pseudo-monotone operators, the study allows for unified treatment of various evolution problems, such as describing incompressible fluid motion. The abstract results for pseudo-monotone operators demonstrate convergence through verifying natural assumptions on the operator and discretization spaces time by time, enabling easy applications and extensions to other evolution problems.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2021)
Article
Physics, Multidisciplinary
Xiaomeng Shi, Shuqi Xue, Claudio Feliciani, Nirajan Shiwakoti, Junkai Lin, Dawei Li, Zhirui Ye
Summary: This study verifies the applicability of a microscopic pedestrian simulation model in predicting crowd egress flow at narrow exits, finding that the model provides reasonable estimates under normal conditions but is less capable in emergency situations. Corner exits were found to be more efficient than middle exits, while the simulation did not accurately reproduce the effects of obstacles under emergency conditions.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Review
Thermodynamics
Lei Jin, Xue-Jian Wang, Jian-Wei Zhu, Chen-Fang Wang, Tao-Tao Zhou, Xian-Wen Zhang
Summary: This study investigates the performance variation of proton exchange membrane fuel cells under different operating conditions and develops a model for simulation and analysis. Sensitivity analysis reveals that the operating pressure has the most significant impact on current density and gas distribution, followed by temperature and humidity changes. Additionally, the change in porosity affects the uniformity of gas distribution.
ENERGY CONVERSION AND MANAGEMENT
(2021)
Article
Environmental Sciences
C. Delhez, N. Riviere, S. Erpicum, M. Pirotton, P. Archambeau, M. Arnst, J. Bierens, B. Dewals
Summary: This study presents a conceptual model of the drift of a drowning victim in a river, taking into account the mechanical effects of body decomposition. The model was tested under idealized flow conditions, and the results show that predicting the body's vertical position is crucial for accurately determining its drift velocity. Additionally, testimonies providing information on body mass and height can significantly reduce uncertainties in predicting the body's streamwise position.
WATER RESOURCES RESEARCH
(2023)
Article
Chemistry, Multidisciplinary
Xiaowan Bai, Xunhua Zhao, Yehui Zhang, Chongyi Ling, Yipeng Zhou, Jinlan Wang, Yuanyue Liu
Summary: This study evaluates the dynamic stability of single copper atom catalysts under realistic reaction conditions using a constant-potential hybrid-solvation dynamic model. The adsorption of H is found to be the key driving force for the leaching of copper single atoms from the catalyst surface. The study provides a fundamental understanding of the dynamic stability of Cu single-atom catalysts and calls for a reassessment of the stability of currently reported single-atom catalysts considering realistic reaction conditions.
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY
(2022)
Article
Mathematics, Applied
Fabian Merle, Andreas Prohl
Summary: An adaptive algorithm has been developed for large SDE systems, which automatically selects deterministic time steps for the semi-implicit Euler method based on a posteriori weak error estimate. The a posteriori estimator demonstrates optimal weak convergence order 1 for a certain class of SDE systems, and termination of the adaptive method within O(Tol(-1)) steps.
NUMERISCHE MATHEMATIK
(2021)
Article
Mathematics, Applied
Boris Andreianov, Abraham Sylla
Summary: This study introduces a toy model for self-organized road traffic, taking into account the orderliness in drivers' behavior. By combining Kruzhkov and Panov methods to define the existence of acceptable solutions, a BV-stable finite volume numerical scheme is developed.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Xiao-Li Ding, Yao-Lin Jiang
Summary: This paper investigates the existence, uniqueness, and regularity analysis of stochastic Volterra evolution equations driven by fractional Brownian motions, with numerical approximations provided. Clever techniques and complex methods are used to overcome difficulties, and theoretical results are validated through numerical experiments.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2022)
Article
Operations Research & Management Science
Xiantao Xiao
Summary: We propose a simplified and unified convergence analysis framework for mini-batch stochastic Bregman proximal gradient method and its variants in stochastic convex composite optimization problems. This framework can also be applied to analyze the convergence of the mini-batch stochastic Bregman proximal extragradient method without the standard uniformly bounded variance assumption and the usual Lipschitz gradient continuity assumption.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
(2021)
Article
Multidisciplinary Sciences
Sara Hernando-Amado, Pablo Laborda, Jose Ramon Valverde, Jose Luis Martinez
Summary: Collateral sensitivity, a trade-off in evolution where resistance to one antibiotic leads to increased susceptibility to another, can be utilized in designing evolutionary-based approaches for treating bacterial infections. This study investigates the conservation of collateral sensitivity in different antibiotic-resistant mutants, and suggests alternating certain antibiotics as an effective strategy to eliminate these mutants.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Mathematics, Applied
Virginia Giorno, Amelia G. Nobile
Summary: In this paper, we study a time-inhomogeneous diffusion process obtained by applying the composition method to two Wiener processes. We also investigate the corresponding diffusion process restricted by a reflecting boundary in the zero-state. Additionally, we consider a special time-inhomogeneous diffusion process with discontinuous drift symmetric with respect to zero-state. Various numerical computations are performed in the presence of periodic noise intensity.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Mathematics
Artur R. Valiullin, Albert R. Valiullin
Summary: Greedy expansions with prescribed coefficients were introduced by V.N. Temlyakov in Banach spaces, showing conditions for convergence to an expanded element with symmetric dictionaries. In Hilbert spaces, the conditions involve the summation of coefficients to infinity and the squared sum being less than infinity. It has been found that convergence is guaranteed with coefficients of o(1/√n) but may be violated with coefficients asymptotic to 1/√n.
Review
Green & Sustainable Science & Technology
Muhammad Azam, Sitti Asmah Hassan, Othman Che Puan
Summary: This study presents a bibliometric analysis of the state of the art of scientific production about autonomous vehicles in mixed traffic conditions. The analysis reveals the trends and potential research directions in this area.
Article
Transportation
Anye Zhou, Jian Wang, Srinivas Peeta
Summary: This study proposes a robust platoon control strategy for Connected and Autonomous Vehicles (CAVs) to mitigate the impacts of falsified information and ensure safe operation.
JOURNAL OF INTELLIGENT TRANSPORTATION SYSTEMS
(2023)
Article
Transportation Science & Technology
Anye Zhou, Srinivas Peeta, Menglin Yang, Jian Wang
Summary: This study proposes a hybrid cooperative intersection control framework combining virtual platooning control and traffic flow regulation for traffic environments with connected autonomous vehicles. Through coordination, vehicles in a virtual platoon are grouped into compatible passing sets to maintain desired safe spacing through the intersection. The effectiveness of the framework is evaluated through numerical experiments.
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES
(2022)
Article
Engineering, Electrical & Electronic
Wei Wang, Jian Wang, De Zhao, Kun Jin
IEEE INTELLIGENT TRANSPORTATION SYSTEMS MAGAZINE
(2022)
Article
Computer Science, Cybernetics
Shubham Agrawal, Srinivas Peeta, Irina Benedyk
Summary: This study evaluates drivers' cognition and psychology under real-time travel information provision by measuring their brain electrical activity patterns. The findings indicate that drivers exert more cognitive effort in processing information in complex driving environments, insufficient information may increase their attention, and route recommendation may lead to stress and anxiety.
BEHAVIOUR & INFORMATION TECHNOLOGY
(2023)
Article
Operations Research & Management Science
Xiaozheng He, Jian Wang, Srinivas Peeta, Henry X. Liu
Summary: This paper presents a discrete day-to-day signal retiming problem to fine-tune the green splits in a traffic network and reduce congestion and travel time.
NETWORKS & SPATIAL ECONOMICS
(2022)
Article
Transportation Science & Technology
Jian Wang, Wei Wang, Gang Ren, Min Yang
Summary: This study introduces a worst-case mixed traffic assignment model to address the issue of uncertain link capacity in mixed traffic flow environments, providing an effective algorithm for solving the problem. Numerical applications demonstrate the significant impact of uncertain link capacity on network performance and flow. The results can assist traffic managers in designing robust planning strategies.
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES
(2022)
Article
Engineering, Civil
Yufei Xu, Yu Wang, Srinivas Peeta
Summary: This paper proposes a method using the transformer model and the pNEUMA dataset to predict vehicle trajectories in congested urban traffic. By utilizing the self-attention mechanism, this model can systematically analyze the impacts of vehicular interactions on the future trajectory of the target vehicle. Numerical studies demonstrate the effectiveness of the proposed approach and compare it with traditional LSTM models.
TRANSPORTATION RESEARCH RECORD
(2023)
Article
Environmental Studies
Xiaozheng He, Yu Wei, Jose Holguin-Veras
Summary: This paper proposes a simple imputation technique using the Brownian bridge structure to fill in missing speed data in low-resolution truck GPS datasets. The results demonstrate that the technique improves estimation accuracy in estimating fuel consumption and emissions using low-resolution GPS data.
TRANSPORTATION RESEARCH PART D-TRANSPORT AND ENVIRONMENT
(2023)
Article
Engineering, Civil
Xia Yang, Chenyang Wang, Xiaozheng He, Hedi Zhang, Guangming Xu
Summary: With the rapid growth of e-commerce and direct-to-consumer deliveries, the last-mile problem has become more noticeable. Smart parcel lockers, with their advantages in economies of scale and 24/7 contactless self-service, play a crucial role in solving this problem. However, due to poor planning, limited expansion, and unclear profit models, smart parcel locker suppliers in China have been experiencing significant economic losses. This study proposes a bilevel programming model to optimize the location of community smart parcel lockers, aiming to maximize the profit for the supplier and user satisfaction. The results provide theoretical support and practical guidance for third-party smart parcel locker suppliers to plan their investment budgets and optimize locker locations for maximum profit.
JOURNAL OF ADVANCED TRANSPORTATION
(2023)
Article
Computer Science, Artificial Intelligence
Anye Zhou, Yongyang Liu, Einat Tenenboim, Shubham Agrawal, Srinivas Peeta
Summary: This study investigates the car-following behavior of human-driven vehicles (HDVs) in mixed-flow traffic with connected and autonomous vehicles (CAVs) using a driving simulator. The study shows that the behavior of HDVs can impact the control performance and efficiency of CAVs. The effects of traffic congestion level and demographic characteristics are also considered. The results suggest that the stable CAV control setting is preferred by most HDV drivers but may lead to driver distraction.
IEEE TRANSACTIONS ON INTELLIGENT VEHICLES
(2023)
Article
Automation & Control Systems
Yongyang Liu, Anye Zhou, Yu Wang, Srinivas Peeta
Summary: In a mixed-flow traffic environment, predicting and intervening in lane-change behaviors of human-driven vehicles (HDVs) can enable cooperative platooning control and reduce traffic oscillations. A proactive longitudinal control strategy (PLCS), based on deep reinforcement learning, is proposed to counteract disruptive lane changes by HDVs and maintain the smoothness of traffic flow.
CONTROL ENGINEERING PRACTICE
(2023)
Article
Engineering, Civil
Pengcheng Wang, Xinkai Wu, Xiaozheng He
Summary: This research explores the vulnerability of nonlinear vehicle platoons characterized by oscillatory behavior caused by external perturbations. A vibration-theoretic approach is proposed to characterize the platoon vulnerability and obtain the resonance frequency. The closed-form formulas of damping intensity and resonance frequency are derived through rigorous analysis. Simulation results show that overdamped platoons are more robust against perturbations, while underdamped platoons can be destabilized easily by perturbations at the resonance frequency.
IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS
(2023)
Article
Engineering, Electrical & Electronic
Kai Huang, Ming Chen, Zihan Zhou, Xu Han, Jian Wang, Zhiyuan Liu
Summary: This article studies the parameter calibration of widely used SUE models and proposes a bilevel model and solution approach. The upper level minimizes the error between real and model-based traffic flow patterns using a Bayesian optimization method, while the lower level copes with SUE traffic assignment using dedicated algorithms. The proposed model and solution approach are validated based on a case study of Yuyao, China.
IEEE INTELLIGENT TRANSPORTATION SYSTEMS MAGAZINE
(2023)
Article
Engineering, Electrical & Electronic
Lili Lu, Jian Wang, Yukou Wu, Xu Chen, Ching-Yao Chan
Summary: This article proposes an analytical model to predict the travel time of vehicles on a signalized arterial roadway by considering three potential situations vehicles may encounter when passing through intersections. The model is developed based on analyzing the correlation between a vehicle's entry time to a segment and the signal-phase timing using kinematic wave theory. By predicting intersection delay using queue shockwave speed and discharge shockwave speed, the model accurately characterizes a vehicle's travel time on a road segment.
IEEE INTELLIGENT TRANSPORTATION SYSTEMS MAGAZINE
(2022)
Article
Economics
Songyot Kitthamkesorn, Anthony Chen, Seungkyu Ryu, Sathaporn Opasanon
Summary: The study introduces a new mathematical model to determine the optimal location of park-and-ride facilities, addressing the limitations of traditional models and considering factors such as route similarity and user heterogeneity.
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
(2024)