Phase-synchronisation in continuous flow models of production networks

Scholz‐Reiter, Bernd; Tervo, Jan Topi; Freitag, Michael

doi:10.1016/j.physa.2006.01.046

Cited by 16 publications

(4 citation statements)

References 10 publications

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“…This phase synchronisation means that oscillators have a preferred phase-relation to each other and that the oscillators adjust their phase as function of their phase difference (Lowet et al 2016). The question about phase synchronisation between manufacturer and supplier is extremely important for the planning, management and control of synchronous supply (Scholz-Reiter et al 2006a). A phase synchronisation is existent if the instantaneous phases of both oscillations are locked, which can be measured by the time evolution of the phase difference.…”

Section: Supply Synchronisation Between Manufacturer and Suppliermentioning

confidence: 99%

“…With the help of a system identification technique the response of a manufacturing system is estimated to any given input. Scholz-Reiter et al (2006a) and Scholz-Reiter and Tervo (2006b) investigate phaselocking phenomena of a production network with oscillating demand and supply. Donner et al (2007) study the self-organisation and optimisation of conflicting material flows on complex networks.…”

Section: Literature Backgroundmentioning

confidence: 99%

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Modelling Oscillations in the Supply Chain: The Case of a Just-in-Sequence Supply Process from the Automotive Industry

Klug

2021

Preprint

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Pervasive and ubiquitous oscillations, mapping the repetitive variation in time of a specific state, are well known as abundant phenomena in research and practice. Motivated by the success of oscillators in the modelling, analysis and control of dynamical systems, we developed a related approach for the dynamic description of supply chains. This paper aims to introduce a generic oscillator model for supply chains by the original application of oscillator equations. Therefore an established oscillator model for deductive modelling of supply chain echelons is used. With the help of coupled van der Pol oscillators, the dynamical interaction of an inventory system is described and applied to a real-life supply process in automotive industry. According to its reductionist approach only two differential equations are used to analyse a Just-in-Sequence supply process in car industry. Based on the fact that any oscillatory state can be reduced to the phase of the oscillation (phase reduction), a phase space map is generated. This compact visual reference of the supply process can act as the quantitative basis for an adaptive control mechanism during its operation. By delaying or accelerating the inventory oscillations of the supplier stock a detuned coupled supply process can be re-synchronised without changing the amplitude. An additional analysis of Hilbert transform is applied to determine the boundaries of phase-locking between the inventory oscillation phases, where the instantaneous phases are bounded. Furthermore parameters of the synchronisation threshold and the transient phases between synchronous and non-synchronous regimes have been investigated, supported by an Arnold tongue representation. The investigations show that with the help of a generic oscillatory model it is possible to measure and quantify phenomena of inventory dynamics in supply chains. Especially the analysis of synchronisation phenomena with the help of phase space and Arnold tongue representations foster developments of performance measurement in supply chain management.

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Section: Supply Synchronisation Between Manufacturer and Suppliermentioning

confidence: 99%

Section: Literature Backgroundmentioning

confidence: 99%

Modelling Oscillations in the Supply Chain: The Case of a Just-in-Sequence Supply Process from the Automotive Industry

Klug

2021

Preprint

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“…Therefore, research is needed into a mathematical description of the possibly complex behaviour of autonomous assembly systems [10]. Mathematical closed-form solutions such as controltheoretic models [23], general flow models [6], [78], Markov chain models and queuing models are good candidates [10], [115]. One of the first approaches for dynamic reconfiguration of manufacturing systems is the Biological Manufacturing System (BMS) concept ( Figure 7).…”

Section: Layout Designmentioning

confidence: 99%

Autonomous Processes in Assembly Systems

2007

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Today's assembly systems have to be flexible to adapt quickly to an increasing number and variety of products and changing demand volume. To manage these dynamics, flexible, reconfigurable, and autonomous assembly systems were proposed and partly realised in the last two decades. The flexibility and adaptability is realised by clustering the assembly system into subsystems and modules which get a certain degree of autonomy and control themselves in a decentralised way. This keynote paper will present the general principles of autonomy and the proposed concepts, methods and technologies to realise autonomous processes in assembly systems. Different approaches for design and autonomous operation of assembly will be explained and future trends towards fully autonomous components of an assembly system as well as autonomous parts and products will be discussed.

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“…Other methods of modelling manufacturing systems include the biological manufacturing systems (Ueda (1998)), the fractal company concept (Shin and Rist (1998)), and neural networks (Chryssolouris et al (1990)). Furthermore analogies between manufacturing and concepts in physics, such as turbulent flow (Wiendahl et al (2002a), Wiendahl et al (2002b) and transport phenomena for production networks and supply chains (Scholz-Reiter et al (2006)) have been also presented in the past. A list of methods applied to different classes of manufacturing systems design problems was presented in Ueda et al (2001).…”

Section: Introductionmentioning

confidence: 98%