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  • We show how to treat supply networks as physical transport problems governed by balance equations and equations for the adaptation of production speeds. Although the nonlinear behavior is different, the linearized set of coupled differential equations is formally related to those of mechanical or electrical oscillator networks. Supply networks possess interesting features due to their complex topology and directed links. We derive analytical conditions for absolute and convective instabilities. The empirically observed %22bullwhip effect%22 in supply chains is explained as a form of convective instability based on resonance effects. Moreover, it is generalized to arbitrary supply networks. Their related eigenvalues are usually complex, depending on the network structure (even without loops). Therefore, their generic behavior is characterized by damped or growing oscillations. We also show that regular distribution networks possess two negative eigenvalues only, but perturbations generate a spect
  • We show how to treat supply networks as physical transport problems governed by balance equations and equations for the adaptation of production speeds. Although the nonlinear behavior is different, the linearized set of coupled differential equations is formally related to those of mechanical or electrical oscillator networks. Supply networks possess interesting features due to their complex topology and directed links. We derive analytical conditions for absolute and convective instabilities. The empirically observed %22bullwhip effect%22 in supply chains is explained as a form of convective instability based on resonance effects. Moreover, it is generalized to arbitrary supply networks. Their related eigenvalues are usually complex, depending on the network structure (even without loops). Therefore, their generic behavior is characterized by damped or growing oscillations. We also show that regular distribution networks possess two negative eigenvalues only, but perturbations generate a spect (en)
  • Ukážeme, jak popisovat dodavatelské sítě jako fyzikální transportní problém řízený bilančními rovnicemi a rovnicemi pro přizpůsobení rychlosti produkce. Ačkoliv je nelineární chování odlišné, soustava linearizovaných diferenciálních rovnic je formálně totožná s rovnicemi pro sítě mechanických či elektrických oscilátorů. Dodavatelské sítě mají zajímavé vlastnosti díky jejich komlexní topologii. Odvodíme analytické podmínky pro absolutní a konvekční nestability. Empiricky pozorovnaý %22efekt biče%22 v dodavatelských řetězcích je vysvětlen jako druh konvekční nestability založený na resonančních jevech. Toto je navíc zobecněno na libovolné dodavatelské sítě. Jejich vlastní hodnoty jsou obvykle komplexní a závisí na struktuře sítě (i bez smyček). Tedy jejich obecné chování je charakterizováno tlumenými nebo rostoucími oscilacemi. Ukážeme také, že rehulární dodavateslá síť má pouze dvě záporné vlastní hodnoty, ale poruchy vytváří spektrum komplexních vlastních hodnot. (cs)
Title
  • Fyzika, stabilita a dynamika v dodavatelských sítích (cs)
  • Physics, stability, and dynamics of supply networks
  • Physics, stability, and dynamics of supply networks (en)
skos:prefLabel
  • Fyzika, stabilita a dynamika v dodavatelských sítích (cs)
  • Physics, stability, and dynamics of supply networks
  • Physics, stability, and dynamics of supply networks (en)
skos:notation
  • RIV/62690094:18440/04:00002212!RIV09-GA0-18440___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA202/02/0088)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 579522
http://linked.open...ai/riv/idVysledku
  • RIV/62690094:18440/04:00002212
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Quantum chaos (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [9C5784CB143B]
http://linked.open...i/riv/nazevZdroje
  • Physical review E : statistical, nonlinear and soft matter physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 70
http://linked.open...iv/tvurceVysledku
  • Seidl, Thomas
  • Šeba, Petr
  • Helbing, Dirk
  • Lammer, Stefan
  • Platkowski, Tadeusz
http://linked.open...ain/vavai/riv/wos
  • 000226299200023
issn
  • 1539-3755
number of pages
http://localhost/t...ganizacniJednotka
  • 18440
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