Title: Qualitative properties of mathematical model for data flow

Journal Article · · Networks and heterogeneous media
ORCiD logo [1];  [2];  [2]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
  2. RWTH Aachen Univ. (Germany)

In this paper, properties of a recently proposed mathematical model for data flow in large-scale asynchronous computer systems are analyzed. In particular, the existence of special weak solutions based on propagating fronts is established. Qualitative properties of these solutions are investigated, both theoretically and numerically.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
German Research Foundation (DFG); National Science Foundation (NSF); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1838953
Journal Information:
Networks and heterogeneous media, Journal Name: Networks and heterogeneous media Journal Issue: 4 Vol. 16; ISSN 1556-1801
Publisher:
American Institute of Mathematical SciencesCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

Polygonal approximations of solutions of the initial value problem for a conservation law journal April 1972
Rigorous Derivation of Nonlinear Scalar Conservation Laws from Follow-the-Leader Type Models via Many Particle Limit journal January 2015
Polygonal approximations of solutions of the initial value problem for a conservation law journal April 1972
Modeling selective local interactions with memory journal October 2013
Machine learning coarse grained models for water journal January 2019
Partial Differential Equations book January 1998
A mathematical model of asynchronous data flow in parallel computers* journal September 2020
A Model for the Dynamics of large Queuing Networks and Supply Chains journal January 2006
A Scalar Conservation Law with Discontinuous Flux for Supply Chains with Finite Buffers journal January 2011
Models for Dense Multilane Vehicular Traffic journal January 2019
Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models journal January 2002
On the Modelling Crowd Dynamics from Scaling to Hyperbolic Macroscopic Models journal August 2008
Pedestrian flow Models with Slowdown Interactions journal December 2013
Roofline: an insightful visual performance model for multicore architectures journal April 2009
Extreme Heterogeneity 2018 - Productive Computational Science in the Era of Extreme Heterogeneity: Report for DOE ASCR Workshop on Extreme Heterogeneity report December 2018
Two-way multi-lane traffic model for pedestrians in corridors journal January 2011