Symbolic recurrence plots: A new quantitative framework for performance analysis of manufacturing networks

Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System

“…It is worth noting that, recently, there have been the first successful attempts to transfer the idea of "recurrences" in phase space to symbolic data [11,72,73]. A special case is order pattern recurrence plots [74,75], which have been successfully applied in the analysis of neurophysiological time series.…”

“…Section 2.1.4. ) or even mixed strategies [11]). Thus, we generate a symbolic time series from a two-letter (λ = 2) alphabet (0,1), e.g., 0110100110010110 .…”

Nonlinear characterization of the performance of production and logistics networks

“…A more detailed mathematical description of the considered simulation model as well as the aforementioned order policies is given in Donner, Hinrichs, and Scholz-Reiter [20].…”

“…Applying a similar thresholding to a difference-filtered time series (that is, the increments of the original data, in this case the variations of the inventory levels) yields a dynamic encoding, which contains hardly any information about the long-term variations but preserves the essential shortterm variability. Under rather general conditions, mixed forms of both major strategies may be applied as well [20]. This work will exclusively consider a dynamic encoding that maps the time series (X t )(t = 1, .…”

“…It has been shown in the example that this holds especially for the symbolic correlation functions, which show a particularly artificial behavior. However, careful analysis by means of extensive simulations has shown that the estimated values of mutual information [9,35] as well as entropies [23,62] based on symbol sequences may show a similar dependence on the symbolic encoding [20].…”