Discontinuous Conservation Laws for Production Networks with Finite Buffers

• Autores: Simone Göttlich, Axel Klar, Patrick Schindler
• Localización: Siam journal on applied mathematics, ISSN 0036-1399, Vol. 73, Nº 3, 2013, págs. 1117-1138
• Idioma: inglés
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• Resumen

  • In this study we use discontinuous conservation laws to model production networks with finite buffers. A network formulation is characterized by the interaction between several production units, described by discontinuous conservation laws, under the assumption that no parts are lost. Therefore we discuss appropriate Riemann problems and coupling conditions which are derived from a regularized model. To solve the discontinuous problem in an accurate and fast way, we introduce a novel algorithm. Based on different settings, the new method is compared numerically with standard approaches