The paper presents some numerical results for supply networks modeled by a fluid dynamic approach. A mixed continuum-discrete model is examined: the dynamics on each arch is described by a conservation law for the goods density, and an evolution equation for the processing rate. For solving dynamics at nodes, two routing algorithms are considered, maximizing the flux with possible adjustments of the processing rate. Simulations of a supply network have been made assigning a constant input profile with one discontinuity. A functional is defined to locate the discontinuity point in order to maximize the overall production. Parameters dependence is shown solving Riemann Problems with different rules.
Management of supply networks using PDEs
DE NICOLA, CARMINE;MANZO, Rosanna;RARITA', LUIGI
2011-01-01
Abstract
The paper presents some numerical results for supply networks modeled by a fluid dynamic approach. A mixed continuum-discrete model is examined: the dynamics on each arch is described by a conservation law for the goods density, and an evolution equation for the processing rate. For solving dynamics at nodes, two routing algorithms are considered, maximizing the flux with possible adjustments of the processing rate. Simulations of a supply network have been made assigning a constant input profile with one discontinuity. A functional is defined to locate the discontinuity point in order to maximize the overall production. Parameters dependence is shown solving Riemann Problems with different rules.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
