Efficient reformulation and solution of a nonlinear PDE-controlled flow network model
type: Item
instance of: scholarly article
title: Efficient reformulation and solution of a nonlinear PDE-controlled flow network model
zbMATH Open document ID: 1197.65068
author: Michael Herty
author: C. Kirchner
author: Armin Fügenschuh
author: S. Göttlich
author: Alexander Martin
published in: Computing
publication date: 2009-09-14T00:00:00Z
review text: The authors suggest a mixed-integer program for the optimization of a nonlinear flow network. Under some assumptions on the cost functional, they show the equivalence with a linear program whose solution is computationally much cheaper. The theoretical findings are supported by numerical results.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 90C11
zbMATH DE Number: 5603877
zbMATH Keywords: optimal control
zbMATH Keywords: flow network
zbMATH Keywords: mixed-integer program
zbMATH Keywords: linear program
zbMATH Keywords: numerical results
Wikidata QID: Q60471961
reviewed by: R. H. W. Hoppe
describes a project that uses: Zimpl
describes a project that uses: CPLEX
MaRDI profile type: Publication
full work available at URL: s00607-009-0038-7
OpenAlex ID: W1970415976
cites work: A Model for the Dynamics of large Queuing Networks and Supply Chains
cites work: Q5436667
cites work: Kinetic and Fluid Model Hierarchies for Supply Chains
cites work: MIP presolve techniques for a PDE-based supply chain model
cites work: A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations
cites work: Q4198056
cites work: Network models for supply chains
cites work: Modelling and optimization of supply chains on complex networks
cites work: Optimal control for continuous supply network models
cites work: Existence of Solutions for Supply Chain Models Based on Partial Differential Equations
cites work: Q4040221
DBLP publication ID: journals/computing/FugenschuhGHKM09
DOI: 10.1007/S00607-009-0038-7
description: scientific article; zbMATH DE number 5603877