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In the traditional two-rack distributed storage system (DSS) model, due to the assumption that the storage capacity of each node is the same, the minimum bandwidth regenerating (MBR) point becomes infeasible. In this paper, we design a new…

Information Theory · Computer Science 2013-08-01 Jaume Pernas , Bernat Gastony , Chau Yuen , Jaume Pujol

Stacking is an important process within logistics. Some notable examples of items to be stacked are steel bars or steel plates in a steel yard or containers in a container terminal or on a ship. We say that two items are conflicting if…

Data Structures and Algorithms · Computer Science 2021-06-07 Martin Olsen

In a queueing system involving multiple service windows, choice behavior is a significant concern. This paper incorporates the choice of service windows into a queueing model with a floor represented by discrete cells. We contrived a…

Physics and Society · Physics 2019-05-10 Masahiro Tanaka , Daichi Yanagisawa , Katsuhiro Nishinari

The Picker Routing Problem (PRP), which consists of finding a minimum-length tour between a set of storage locations in a warehouse, is one of the most important problems in the warehousing logistics literature. Despite its popularity, the…

Data Structures and Algorithms · Computer Science 2025-01-27 Thibault Prunet , Nabil Absi , Diego Cattaruzza

This paper considers trajectory planning for a mobile robot which persistently relays data between pairs of far-away communication nodes. Data accumulates stochastically at each source, and the robot must move to appropriate positions to…

Robotics · Computer Science 2022-08-24 Winston Hurst , Yasamin Mostofi

If we give a robot the task of moving an object from its current position to another location in an unknown environment, the robot must explore the map, identify all types of obstacles, and then determine the best route to complete the…

Robotics · Computer Science 2022-08-22 Saeid Alirezazadeh , Luís A. Alexandre

We prove that any two-pass graph streaming algorithm for the $s$-$t$ reachability problem in $n$-vertex directed graphs requires near-quadratic space of $n^{2-o(1)}$ bits. As a corollary, we also obtain near-quadratic space lower bounds for…

Data Structures and Algorithms · Computer Science 2023-04-17 Sepehr Assadi , Ran Raz

An agent's preferences depend on an ordered parameter or type. We characterize the set of utility functions with single-crossing differences (SCD) in convex environments. These include preferences over lotteries, both in expected utility…

Theoretical Economics · Economics 2023-06-06 Navin Kartik , SangMok Lee , Daniel Rappoport

In this work, we present a systematic study of this trade-off from a deployment-centric perspective, focusing on an autonomous driving scenario. Instead of treating overlay and customized acceleration as isolated design points, we analyze…

Hardware Architecture · Computer Science 2026-05-25 Xingzhen Chen , Shixin Ji , Zheng Dong , Peipei Zhou

We investigate the Optimal Obstacle Placement (OOP) problem under uncertainty, framed as the dual of the Optimal Traversal Path problem in the Stochastic Obstacle Scene paradigm. We consider both continuous domains, discretized for…

Applications · Statistics 2025-09-09 Li Zhou , Elvan Ceyhan , Polat Charyyev

Order picking is the single most cost-intensive activity in picker-to-parts warehouses, and as such has garnered large interest from the scientific community which led to multiple problem formulations and a plethora of algorithms published.…

Optimization and Control · Mathematics 2025-06-26 Giorgio Abelli , Maximilian Katzmann , Imran Khan , Olaf Maurer , Julius Pätzold , Paweł Pszona , Jan-David Salchow

In this paper, we consider the family of planar piecewise linear differential systems with two zones separated by a straight line without sliding regions, that is, differential systems whose flow transversally crosses the switching line…

Dynamical Systems · Mathematics 2023-05-26 Victoriano Carmona , Fernando Fernández-Sánchez , Douglas D. Novaes

The set of 2-dimensional packing problems builds an important class of optimization problems and Strip Packing together with 2-dimensional Bin Packing and 2-dimensional Knapsack is one of the most famous of these problems. Given a set of…

Discrete Mathematics · Computer Science 2019-02-07 Klaus Jansen , Malin Rau

Optimal packing of objects in containers is a critical problem in various real-life and industrial applications. This paper investigates the two-dimensional packing of convex polygons without rotations, where only translations are allowed.…

Computational Geometry · Computer Science 2023-08-17 Adam Kurpisz , Silvan Suter

Matrix double splitting iterations are simple in implementation while solving real non-singular (rectangular) linear systems. In this paper, we present two Alternating Double Splitting (ADS) schemes formulated by two double splittings and…

Numerical Analysis · Mathematics 2025-03-25 Ashish Kumar Nandi , Nachiketa Mishra , Debasisha Mishra

In two dimensions, quenched disorder always rounds transitions involving the breaking of spatial symmetries so, in practice, it can often be difficult to infer what form the symmetry breaking would take in the ``ideal,'' zero disorder…

Strongly Correlated Electrons · Physics 2009-11-11 John A. Robertson , Steven A. Kivelson , Eduardo Fradkin , Alan C. Fang , Aharon Kapitulnik

We study finite-horizon optimal switching with discrete intervention dates on a general filtration, allowing continuous-time observations between decision dates, and develop a deep-learning-based dual framework with computable upper bounds.…

Optimization and Control · Mathematics 2026-04-10 Junyan Ye , Hoi Ying Wong

We study the common intersection of arrangements of double-wedges. We consider arrangements where double-wedges may be either bowties (which do not contain a vertical line) or hourglasses (which contain a vertical line), in contrast to…

Computational Geometry · Computer Science 2026-04-28 Daniel Bertschinger , Henry Förster , Fabian Klute , Irene Parada , Patrick Schnider , Birgit Vogtenhuber

When scaling up quantum processors in a cryogenic environment, it is desirable to limit the number of qubit drive lines going into the cryostat, since fewer lines makes cooling of the system more manageable and the need for complicated…

Quantum Physics · Physics 2026-04-15 Marvin Richter , Ingrid Strandberg , Simone Gasparinetti , Anton Frisk Kockum

The behaviour of materials under spatial confinement is sensitively dependent on the nature of the confining boundaries. In two dimensions, confinement within a hard circular boundary inhibits the hexagonal ordering observed in bulk systems…

Soft Condensed Matter · Physics 2015-06-17 Ian Williams , Erdal C. Oğuz , Robert L. Jack , Paul Bartlett , Hartmut Löwen , C. Patrick Royall
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