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The availability of massive vehicle trajectory data enables the modeling of road-network constrained movement as travel-cost distributions rather than just single-valued costs, thereby capturing the inherent uncertainty of movement and…

Data Structures and Algorithms · Computer Science 2024-07-10 Chenjuan Guo , Ronghui Xu , Bin Yang , Ye Yuan , Tung Kieu , Yan Zhao , Christian S. Jensen

Many planning and decision activities in logistics and supply chain management are based on forecasts of multiple time dependent factors. Therefore, the quality of planning depends on the quality of the forecasts. We compare various…

Machine Learning · Statistics 2024-06-07 Lena Schmid , Moritz Roidl , Markus Pauly

Representations of sequential data are commonly based on the assumption that observed sequences are realizations of an unknown underlying stochastic process, where the learning problem includes determination of the model parameters. In this…

Machine Learning · Statistics 2019-09-17 Ronny Hug , Wolfgang Hübner , Michael Arens

Using strategic timetables as input for railway network design has become increasingly popular among western European railway infrastructure operators. Although both railway timetabling and railway network design on their own are well…

Optimization and Control · Mathematics 2023-08-02 Tim Sander , Nadine Friesen , Karl Nachtigall , Nils Nießen

In this note, we apply Stein's method to analyze the steady-state distribution of queueing systems in the traditional heavy-traffic regime. Compared to previous methods (e.g., drift method and transform method), Stein's method allows us to…

Probability · Mathematics 2020-10-08 Xingyu Zhou , Ness Shroff

Stochastic kinetic models (SKMs) are increasingly used to account for the inherent stochasticity exhibited by interacting populations of species in areas such as epidemiology, population ecology and systems biology. Species numbers are…

Computation · Statistics 2023-04-06 Tom E. Lowe , Andrew Golightly , Chris Sherlock

Queuing models provide insight into the temporal inhomogeneity of human dynamics, characterized by the broad distribution of waiting times of individuals performing tasks. We study the queuing model of an agent trying to execute a task of…

Physics and Society · Physics 2012-06-05 Hang-Hyun Jo , Raj Kumar Pan , Kimmo Kaski

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

Statistical Mechanics · Physics 2009-11-10 Dirk Helbing

In this paper, the differences between an integrated and hierarchical generation and transmission expansion planning approaches are first described. Then, the hierarchical approach is described in detail. In general terms, in this scheme…

Optimization and Control · Mathematics 2019-10-24 Maria de Lujan Latorre , Gerson C. Oliveira , Ricardo C. Perez , Lucas Okamura , Silvio Binato

Stochastic network calculus is a tool for computing error bounds on the performance of queueing systems. However, deriving accurate bounds for networks consisting of several queues or subject to non-independent traffic inputs is…

Networking and Internet Architecture · Computer Science 2018-10-12 Anne Bouillard , Céline Comte , Élie De Panafieu , Fabien Mathieu

In networking applications, one often wishes to obtain estimates about the number of objects at different parts of the network (e.g., the number of cars at an intersection of a road network or the number of packets expected to reach a node…

Social and Information Networks · Computer Science 2020-06-22 Harshal A. Chaudhari , Michael Mathioudakis , Evimaria Terzi

We consider a stationary Markov process that models certain queues with a bulk service of a fixed number $m$ of admitted customers. We find an integral expression of its transition probability function in terms of certain multi-orthogonal…

Probability · Mathematics 2023-08-29 Ulises Fidalgo

In this paper, the recurrent events that can occur more than one over the follow-up time have been modeled by phase-type distributions. We use the finite-state continuous-time Markov process with multi states for patients with recurrent…

Methodology · Statistics 2022-01-26 Roufeh Asghari , Amin Hassan Zadeh

We consider queueing models, where customers arrive according to a continuous-time binomial process on a finite interval. In this arrival process, a total of $K$ customers arrive in the finite time interval $[0,T]$, where arrival times of…

Probability · Mathematics 2024-12-10 Kaito Hayashi , Yoshiaki Inoue , Tetsuya Takine

Performance-based engineering for natural hazards facilitates the design and appraisal of structures with rigorous evaluation of their uncertain structural behavior under potentially extreme stochastic loads expressed in terms of failure…

Computational Engineering, Finance, and Science · Computer Science 2023-05-11 Srinivasan Arunachalam , Seymour M. J. Spence

This paper considers the problem of rate function identification for multidimensional queueing models with feedback. A set of techniques are introduced which allow this identification when the model possesses certain structural properties.…

Probability · Mathematics 2009-09-25 Rami Atar , Paul Dupuis

In this work, we study the stationary distribution of the scaled queue length vector process in multiclass queueing networks operating under static buffer priority service policies. We establish that when subjected to a multi-scale heavy…

Probability · Mathematics 2024-11-06 J. G. Dai , Dongyan Huo

In this paper we study coordinated multipath routing at the flow-level in networks with routes of length one. As a first step the static case is considered, in which the number of flows is fixed. A clustering pattern in the rate allocation…

Optimization and Control · Mathematics 2009-10-27 Sarah Lilienthal , Michel Mandjes

Motivated by interest in providing more efficient services in customer service systems, we use statistical learning methods and delay history information to predict the conditional distribution of the customers' waiting times in queueing…

Performance · Computer Science 2019-12-19 Majid Raeis , Ali Tizghadam , Alberto Leon-Garcia

Networks-on-chip (NoCs) have become the standard for interconnect solutions in industrial designs ranging from client CPUs to many-core chip-multiprocessors. Since NoCs play a vital role in system performance and power consumption,…

Performance · Computer Science 2020-01-07 Sumit K. Mandal , Raid Ayoub , Michael Kishinevsky , Umit Y. Ogras
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