Existence of solutions to Cauchy problems for a mixed continuum-discrete model for supply chains and networks

DOI10.1016/j.jmaa.2009.07.058zbMath1180.35342OpenAlexW2090334500MaRDI QIDQ1043512

Ciro D' Apice, Benedetto Piccoli, Rosanna Manzo

Publication date: 9 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.07.058

zbMATH Keywords

BV estimateswave-front tracking approximate solution

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (9)

Semi-Markovian capacities in production network models ⋮ On optimization of a highly re-entrant production system ⋮ Numerical discretization of coupling conditions by high-order schemes ⋮ On vector-valued approximation of state constrained optimal control problems for nonlinear hyperbolic conservation laws ⋮ Optimization for a special class of traffic flow models: combinatorial and continuous approaches ⋮ On relaxation of state constrained optimal control problem for a PDE-ODE model of supply chains ⋮ Contingent rerouting for enhancing supply chain resilience from supplier behavior perspective ⋮ Load-Dependent Machine Failures in Production Network Models ⋮ Uniform Global Attractor for a Class of Nonautonomous Evolution Hemivariational Inequalities with Multidimensional “Reaction-Velocity” Law

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• Existence of Solutions for Supply Chain Models Based on Partial Differential Equations
• A Model for the Dynamics of large Queuing Networks and Supply Chains
• Stability of \(L^ \infty\) solutions of Temple class systems.

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