Kinetic and 8uid models for supply chains supporting policy attibutes

We consider a supply chain consisting of a sequence of bufier queues and processors with certain throughput times and capacities. In a pre- vious work, we have derived a hyperbolic conservation law for the part density and ∞ux in the supply chain. In the present paper, we intro- duce internal variables (named attributes: e.g. the time to due-date) and extend the previously deflned model into a kinetic-like model for the evolution of the part in the phase-space (degree-of-completion, at- tribute). We relate this kinetic model to the hyperbolic one through the moment method and a 'monokinetic' (or single-phase) closure assump- tion. If instead multi-phase closure assumptions are retained, richer dy- namics 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.