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Biological machines like molecular motors and enzymes operate in dynamic cycles representable as stochastic flows on networks. Current stochastic dynamics describes such flows on fixed networks. Here, we develop a scalable approach to…

Statistical Mechanics · Physics 2026-03-02 Ying-Jen Yang , Ken A. Dill

The train unit scheduling problem (TUSP) is an important part of the scheduling process for passenger railway operators. Currently, scholars in various countries have proposed a variety of optimization models based on specific local railway…

Optimization and Control · Mathematics 2025-06-23 Yunjian Luo , Zhiyuan Lin , Ronghui Liu

Through experiments, we idealise a plant leaf as a flexible, thin, rectangular plate clamped at the midpoint and positioned perpendicular to an airflow. Flexibility of the structure is considered as an advantage at moderate flow speed…

Fluid Dynamics · Physics 2024-03-05 Maryam Boukor , Augustin Choimet , Éric Laurendeau , Frédérick P. Gosselin

We propose two distributionally robust optimization (DRO) models for a mobile facility (MF) fleet sizing, routing, and scheduling problem (MFRSP) with time-dependent and random demand, as well as methodologies for solving these models.…

Optimization and Control · Mathematics 2022-02-23 Karmel S. Shehadeh

The rail freight flow assignment (RFFA) is a key point of network design and operations management. Unlike a road network, the freight flow assignment pattern in a rail system has unique characteristics, and the most significant one is the…

Optimization and Control · Mathematics 2018-12-10 Bo-Liang Lin

The structure of networks that provide optimal transport properties has been investigated in a variety of contexts. While many different formulations of this problem have been considered, it is recurrently found that optimal networks are…

Biological Physics · Physics 2015-05-13 Francis Corson

We study network design problems for nonlinear and nonconvex flow models without controllable elements under load scenario uncertainties, i.e., under uncertain injections and withdrawals. To this end, we apply the concept of adjustable…

Optimization and Control · Mathematics 2025-01-20 Johannes Thürauf , Julia Grübel , Martin Schmidt

Because of the long planning periods and their long life cycle, railway infrastructure has to be outlined long ahead. At the present, the infrastructure is designed while only little about the intended operation is known. Hence, the…

Computational Complexity · Computer Science 2023-08-02 Nadine Friesen , Tim Sander , Karl Nachtigall , Nils Nießen

Recently, practical applications for passenger flow prediction have brought many benefits to urban transportation development. With the development of urbanization, a real-world demand from transportation managers is to construct a new…

Machine Learning · Computer Science 2019-12-10 Yongshun Gong , Zhibin Li , Jian Zhang , Wei Liu , Jinfeng Yi

This study aims to propose effective modeling and approach for designing a logistics network in the urban area in order to offer an efficient flow distribution network as a competitive strategy in the logistics industry where demand is…

Machine Learning · Computer Science 2021-07-08 Quan Duong , Dang Nguyen , Quoc Nguyen

In this paper, we study the problem of optimizing the size and mix of a mixed fleet of electric and conventional vehicles owned by firms providing urban freight logistics services. Uncertain customer requests are considered at the strategic…

Optimization and Control · Mathematics 2020-09-03 Satya S. Malladi , Jonas M. Christensen , David Ramrez , Allan Larsen , Dario Pacino

This paper introduces two variational formulations for a model of robust optimal transport, that is, the problem of designing optimal transport networks that are resilient to potential damages, balancing construction costs against the…

Analysis of PDEs · Mathematics 2025-11-10 Luigi De Masi , Andrea Marchese , Annalisa Massaccesi

Problem definition: To mitigate excessive crowding in public transit networks, network expansion is often not feasible due to financial and time constraints. Instead, operators are required to make use of existing infrastructure more…

Optimization and Control · Mathematics 2025-01-24 Yahan Lu , Rolf N. van Lieshout , Layla Martin , Lixing Yang

In spite of its importance, passenger demand prediction is a highly challenging problem, because the demand is simultaneously influenced by the complex interactions among many spatial and temporal factors and other external factors such as…

Machine Learning · Computer Science 2019-05-15 Xiaoyuan Liang , Guiling Wang , Martin Renqiang Min , Yi Qi , Zhu Han

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. In order to address this concern, in this paper, we build an optimization problem which…

Physics and Society · Physics 2017-02-23 Li Rui , Xia Yongxiang , Tse K Chi

ETP is NP Hard combinatorial optimization problem. It has received tremendous research attention during the past few years given its wide use in universities. In this Paper, we develop three mathematical models for NSOU, Kolkata, India…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri , Kajal De

Adaptive transport networks are known to contain loops when subject to hydrodynamic fluctuations. However, fluctuations are no guarantee that a loop will form, as shown by loop-free networks driven by oscillating flows. We provide a…

Disordered Systems and Neural Networks · Physics 2023-11-08 Radost Waszkiewicz , John Burnham Shaw , Maciej Lisicki , Piotr Szymczak

We examine the problem of optimal transport capacity expansion planning for a gas pipeline network to service the growing demand of gas-fired power plants that are increasingly used to provide base load, flexibility, and reserve generation…

Optimization and Control · Mathematics 2021-01-27 Kaarthik Sundar , Sidhant Misra , Anatoly Zlotnik , Russell Bent

Generative Flow Networks (GFlowNets) are recently proposed models for learning stochastic policies that generate compositional objects by sequences of actions with the probability proportional to a given reward function. The central problem…

Machine Learning · Computer Science 2022-10-03 Anh Do , Duy Dinh , Tan Nguyen , Khuong Nguyen , Stanley Osher , Nhat Ho

Recent literature has proved that stable dynamic routing algorithms have solid theoretical foundation that makes them suitable to be implemented in a real protocol, and used in practice in many different operational network contexts. Such…

Networking and Internet Architecture · Computer Science 2008-12-18 Luca Muscariello , Diego Perino