Optimal input flows for a PDE-ODE model of supply chains

DOI10.4310/CMS.2012.v10.n4.a10zbMath1281.35088arXiv1208.4824OpenAlexW2081951395MaRDI QIDQ390007

Benedetto Piccoli, Rosanna Manzo, Ciro D' Apice

Publication date: 22 January 2014

Published in: SIAM Journal on Numerical Analysis, Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4824

zbMATH Keywords

optimal controlconservation lawssupply chainstangent vectorsODE-PDE modelsupwind-Euler scheme

Mathematics Subject Classification ID

Production models (90B30) Inventory, storage, reservoirs (90B05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence theories for optimal control problems involving partial differential equations (49J20) Flow control and optimization for compressible fluids and gas dynamics (76N25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with control and optimization (35Q93) PDEs in connection with mathematical programming (35Q90)

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