2007 / June Volume 2 No.2
Kinetic and fluid models for supply chains supporting policy attributes
| Published Date |
2007 / June
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| Title | Kinetic and fluid models for supply chains supporting policy attributes |
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| Pagination | 433-460 |
| Abstract | We consider a supply chain consisting of a sequence of buffer queues and processors with certain throughput times and capacities. In a previous work, we have derived a hyperbolic conservation law for the part density and flux in the supply chain. In the present paper, we introduce internal variables (named attributes: e.g. the time to due-date) and extend the previously defined model into a kinetic-like model for the evolution of the
part in the phase-space (degree-of-completion, attribute). We relate this kinetic model to the hyperbolic one through the moment method and a 'monokinetic' (or single-phase) closure assumption. If instead multi-phase closure assumptions are retained, richer dynamics can take place. In a numerical section, we compare the kinetic model (solved by a particle method) and its two-phase approximation and demonstrate that both behave as expected.
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| AMS Subject Classification |
65N35, 65N05
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| Received |
2005-04-18
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