NETWORK MODELS FOR SUPPLY CHAINS

Communications in Mathematical Sciences

Volumn 3, Issue 4, 2005, Pages 545-559

  Gaottlich S ^a   Herty, M ^a   Klar, A ^a  

^a University of Koblenz Landau   (Germany)

Author keywords

Conservation laws; Front tracking; Networks; Supply chains

Indexed keywords

EID: 33645157888     PISSN: 15396746     EISSN: 19450796     Source Type: Journal    
DOI: 10.4310/CMS.2005.v3.n4.a5     Document Type: Article

References (14)

1. [1] D. Armbruster, P. Degond and C. Ringhofer, A model for the dynamics of large queuing net-works and supply chains, SIAM J. Applied Mathematics, to appear.
2. [2] D. Armbruster, P. Degond and C. Ringhofer, Kinetic and fluid models for supply chains sup-porting policy attributes, Transp. Theory and Stat. Phys., to appear.
3. [3] D. Armbruster, D. Marthaler and C. Ringhofer, Kinetic and fluid model hierarchies for supply chains, SIAM J. on Multiscale Modeling and Simulation, 2, 1, 43-61, 2004.
4. [4] C. Bardos, A. LeRoux and J. Nedelec, First order quasilinear equations with boundary condi-tions, Comm. in Partial Differential Equations, 4, 1017, 1979.
5. [5] A. Bressan, Hyperbolic Systems of Conservation Laws, Oxford University Press, Oxford, 2000.
6. [6] G. Coclite, M. Garavello and B. Piccoli, Traffic flow on road networks, preprint, 2004.
7. [7] C. M. Dafermos, Polygonal approximations of solutions of the initial value problem for a conservation law, J. Math. Anal. Appl., 38, 33, 1972.
8. [8] C. F. Daganzo, A Theory of Supply Chains, Springer Verlag, New York, Berlin, Heidelberg,2003.
9. [9] C. Dafermos, Hyperbolic Conservation Laws in Continuum Physics, Springer Verlag, New York, Berlin, Heidelberg, 2000.
10. [10] M. Herty and A. Klar, Simplified dynamics and optimization of large scale traffic networks,M3AS, 14, 4, 579, 2004.
11. [11] H. Holden and N. H. Risebro, Front Tracking for Hyperbolic Conservation Laws, Springer Verlag, New York, Berlin, Heidelberg, 2002.
12. [12] H. Holden and N. H. Risebro, A mathematical model of traffic flow on a network of unidirec-tional roads, SIAM J. Math. Anal., 26, 999, 1995.
13. [13] S. N. Kruzkov, First order quasi linear equations in several independent variables, Math. USSR Sbornik, 10, 217,1970.
14. [14] G. F. Newell, A simplified theory of kinematic waves in highway traffic, Transportation Re-search 27B, 281-313, 1993.