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We consider the problem of finding a feasible single-commodity flow in a strongly connected network with fixed supplies and demands, provided that the sum of supplies equals the sum of demands and the minimum arc capacity is at least this…

Data Structures and Algorithms · Computer Science 2007-12-03 Bernhard Haeupler , Robert E. Tarjan

Platooning of vehicles is a promising approach for reducing fuel consumption, increasing vehicle safety, and using road space more efficiently. We consider the important but difficult problem of assigning optimal routes and departure…

Optimization and Control · Mathematics 2021-08-19 Fengqiao Luo , Jeffrey Larson

In this Letter, we proposed a mixing navigation mechanism, which interpolates between random-walk and shortest-path protocol. The navigation efficiency can be remarkably enhanced via a few routers. Some advanced strategies are also…

Physics and Society · Physics 2008-04-03 Tao Zhou

We describe a general probabilistic framework to address a variety of Frechet-distance optimization problems. Specifically, we are interested in finding minimal bottleneck-paths in $d$-dimensional Euclidean space between given start and…

Computational Geometry · Computer Science 2016-07-12 Kiril Solovey , Dan Halperin

The Fixed-Charge Network Flow problem is a well-studied NP-hard problem that has the goal of finding a flow in a network where fixed edge costs are incurred, regardless of the amount of flow hosted by the edge. In this paper, we consider…

Data Structures and Algorithms · Computer Science 2024-07-30 Daniel Olson , Caleb Eardley , Sean Yaw

Many emerging commercial services are based on the sharing or pooling of resources for common use with the aim of reducing costs. Businesses such as delivery-, mobility-, or transport-as-a-service have become standard in many parts of the…

Quantum Physics · Physics 2022-12-13 Michele Cattelan , Sheir Yarkoni

In this work we present an integrated computational pipeline involving several model order reduction techniques for industrial and applied mathematics, as emerging technology for product and/or process design procedures. Its data-driven…

Numerical Analysis · Mathematics 2022-04-05 Marco Tezzele , Nicola Demo , Andrea Mola , Gianluigi Rozza

We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates…

Optimization and Control · Mathematics 2017-06-13 Teobaldo Bulhões , Minh Hoàng Hà , Rafael Martinelli , Thibaut Vidal

In this research a continuous model for resource allocations in a queuing system is considered and a local prediction on the system behavior is developed. As a result we obtain a set of possible cases, some of which lead to quite clear…

Optimization and Control · Mathematics 2022-09-13 Tikhon Bogachev

Optimization of on-demand transportation systems and ride-sharing services involves solving a class of complex vehicle routing problems with pickup and delivery with time windows (VRPPDTW). This paper first proposes a new time-discretized…

Optimization and Control · Mathematics 2016-04-12 Monirehalsadat Mahmoudi , Xuesong Zhou

Adaptive robust optimization problems have received significant attention in recent years, but remain notoriously difficult to solve when recourse decisions are discrete in nature. In this paper, we propose new reformulation techniques for…

Optimization and Control · Mathematics 2024-03-29 Merve Bodur , Timothy C. Y. Chan , Ian Yihang Zhu

In this paper we study a revenue maximization problem for optical routing nodes. We model the routing node as a single server polling model with the aim to assign visit periods (service windows) to the different stations (ports) such that…

Optimization and Control · Mathematics 2016-02-03 Murtuza Ali Abidini , Onno Boxma , Ton Koonen , Jacques Resing

The stable operation of gas networks is an important optimization target. While for this task commonly finite volume methods are used, we introduce a new finite difference approach. With a summation by part formulation for the spatial…

Numerical Analysis · Mathematics 2021-08-31 Sonja Hossbach , Mathias Lemke , Julius Reiss

In this paper we study the min-cost flow problem in planar networks. We start with the min-cost flow problem and apply two transformations, one is based on geometric duality of planar graphs and the other on linear programming duality. The…

Discrete Mathematics · Computer Science 2013-07-01 Haim Kaplan , Yahav Nussbaum

The motivation for this work stems from the problem of scheduling requests for flow at supply points along an automated network of open-water channels. The off-take flows are rigid-profile inputs to the system dynamics. In particular, the…

Optimization and Control · Mathematics 2021-01-01 Adair Lang , Michael Cantoni , Farhad Farokhi , Iman Shames

Branched Optimal Transport (BOT) is a generalization of optimal transport in which transportation costs along an edge are subadditive. This subadditivity models an increase in transport efficiency when shipping mass along the same route,…

Machine Learning · Computer Science 2022-10-17 Peter Lippmann , Enrique Fita Sanmartín , Fred A. Hamprecht

The aim of this paper is to highlight and explore a traditional problem, which is the minimum spanning tree, and finding the shortest-path in network routing, by using Swarm Intelligence. This work to be considered as an investigation topic…

Neural and Evolutionary Computing · Computer Science 2015-08-18 Mohamed A. El Galil

The Vehicle Routing Problem is about optimizing the routes of vehicles to meet the needs of customers at specific locations. The route graph consists of depots on several levels and customer positions. Several optimization methods have been…

Artificial Intelligence · Computer Science 2024-09-18 László Kovács , Ali Jlidi

This paper presents an iterated local search for the fixed-charge uncapacitated network design problem with user-optimal flow (FCNDP-UOF), which concerns routing multiple commodities from its origin to its destination by signing a network…

Data Structures and Algorithms · Computer Science 2020-06-22 Pedro Henrique González , Luidi Simonetti , Philippe Michelon , Carlos Martinhon , Edcarllos Santos

We introduce in this paper a new variant of a location routing problem, to decide, the number and location of drop-off points to install based on the demands of a set of pick-up points, according to a given set-up budget for installing…

Optimization and Control · Mathematics 2025-05-09 Maria Albareda-Sambola , Víctor Blanco , Yolanda Hinojosa