Stochastic dispersive transport. An excursion from statistical physics to automated production line design

The sediment transport dynamics and the population level of a buffer in automated production line systems can be described by the same class of stochastic differential equations. The ubiquitous noise is generated by continuous time Markov chains. The probability densities which describe the dynamics are governed by high order hyperbolic systems of partial differential equations. While this hyperbolic nature clearly exhibits a non-diffusive character of the processes: (diffusion would imply a parabolic evolution of the probability densities), one nevertheless can use a central limit theorem which holds for the large times regimes. This enables analytical estimations of the time evolution of the moments of these processes. A particular emphasis is devoted to non-Markovian, dichotomous alternating renewal processes which enter directly into the description of the applications presented

Published in:
CARs and FOF. 8th International Conference on CAD/CAM, Robotics and Factories of the Future, 17-19 Aug. 1992, 551-65
Univ. Metz
Inst. de Microtech., Ecole Polytech. Federale de Lausanne, Switzerland
stochastic buffered flows
stochastic dispersive transport
buffer population level
statistical physics
automated production line design
sediment transport dynamics
stochastic differential equations
continuous time Markov chains
probability densities
partial differential equations
central limit theorem
dichotomous alternating renewal processes

 Record created 2013-01-07, last modified 2018-01-28

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