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Stability of optimal traffic plans in the irrigation problem
- Source :
- Discrete and Continuous Dynamical Systems-Series A, Discrete and Continuous Dynamical Systems-Series A, In press, ⟨10.3934/dcds.2021167⟩
- Publication Year :
- 2022
-
Abstract
- We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This result goes beyond the Eulerian stability proved in [7], extending it to the Lagrangian framework.
- Subjects :
- BRANCHED TRANSPORT
Mathematical optimization
Irrigation
TRAFFIC PLANS
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
01 natural sciences
Stability (probability)
symbols.namesake
Mathematics - Analysis of PDEs
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
Computer Science::Networking and Internet Architecture
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Discrete Mathematics and Combinatorics
Limit (mathematics)
0101 mathematics
Mathematics - Optimization and Control
Mathematics
TRANSPORTATION NETWORK, BRANCHED TRANSPORT, IRRIGATION PROBLEM, TRAFFIC PLANS, STABILITY
STABILITY
IRRIGATION PROBLEM
Applied Mathematics
TRANSPORTATION NETWORK
010102 general mathematics
Eulerian path
Flow network
010101 applied mathematics
Optimization and Control (math.OC)
Mathematics - Classical Analysis and ODEs
symbols
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Analysis
Lagrangian
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- ISSN :
- 10780947
- Database :
- OpenAIRE
- Journal :
- Discrete and Continuous Dynamical Systems-Series A, Discrete and Continuous Dynamical Systems-Series A, In press, ⟨10.3934/dcds.2021167⟩
- Accession number :
- edsair.doi.dedup.....376d60dfb037e21b430167cde1be492b