Observation Based PDE Models for Stochastic Production Systems: Supply Chain Modeling Review

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(More customer reviews)Great book about the supply chain models to simulate large and complex production systems using partial differential equation models. I truly recommend this book for those people who work on complex production systems in non-equilibrium regimes.

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In this book, continuum models of re-entrantproduction systems are developed that treat the ?owof products in analogy to traffic ?ow. Specifically,the dynamics of material ?ow through a re - entrantfactory via a parabolic conservation law is modeleddescribing the product density and ?ux in thefactory. The basic idea underlying the approach is toobtain transport coefficients for ?uid dynamic modelsin a multiscale setting simultaneously from MonteCarlo simulations and actual observations of thephysical system, i.e. a production factory. Sincepartial differential equation (PDE) - conservationlaws are successfully used for modeling the dynamicalbehavior of product ?ow in manufacturing systems, ahighly re-entrant manufacturing systems is modeledusing a diffusive PDE. It is demonstrated that PDEmodels are preferable to simulate large and complexproduction systems, because they are accurate, fast,and amenable themselves to optimization, which is aquite important advantage for a mathematical model.The work brings out an almost universally applicabletool to provide rough estimates of the behavior ofcomplex production systems in non-equilibrium regimes.

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