Stochastic Dynamics of Long Supply Chains with Random Breakdowns

We analyze the stochastic large time behavior of long supply chains via a traffic flow random particle model. As items travel on a virtual road from one production stage to the next, random breakdowns of the processors at each stage are modeled via a Markov process. The result is a conservation law...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:	SIAM Journal on Applied Mathematics. - Society for Industrial and Applied Mathematics, 1966. - 68(2007), 1, Seite 59-79
1. Verfasser:	Degond, P. (VerfasserIn)
Weitere Verfasser:	Ringhofer, C.
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2007
Zugriff auf das übergeordnete Werk:	SIAM Journal on Applied Mathematics
Schlagworte:	supply chains traffic flow models mean field theories Boltzmann equation fluid limits Economics Applied sciences Physical sciences Philosophy Mathematics


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100	1		\|a Degond, P. \|e verfasserin \|4 aut
245	1	0	\|a Stochastic Dynamics of Long Supply Chains with Random Breakdowns
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520			\|a We analyze the stochastic large time behavior of long supply chains via a traffic flow random particle model. As items travel on a virtual road from one production stage to the next, random breakdowns of the processors at each stage are modeled via a Markov process. The result is a conservation law for the expectation of the part density which holds on time scales which are large compared to the mean up and down times of the processors.
540			\|a Copyright 2008 Society for Industrial and Applied Mathematics
650		4	\|a supply chains
650		4	\|a traffic flow models
650		4	\|a mean field theories
650		4	\|a Boltzmann equation
650		4	\|a fluid limits
650		4	\|a Economics \|x Macroeconomics \|x Aggregate economy \|x Supply and demand \|x Supply \|x Supply chain management
650		4	\|a Applied sciences \|x Applied physics \|x Conservation laws
650		4	\|a Physical sciences \|x Physics \|x Mechanics \|x Density
650		4	\|a Philosophy \|x Metaphysics \|x Etiology \|x Determinism
650		4	\|a Physical sciences \|x Physics \|x Microphysics \|x Particle physics \|x Particle density
650		4	\|a Applied sciences \|x Systems science \|x Systems theory \|x Chaos theory
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Probabilities \|x Conditional probabilities
650		4	\|a Physical sciences \|x Physics \|x Theoretical physics \|x Relativity \|x Relativistic theory \|x General relativity \|x Evolution equations
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Descriptive statistics \|x Statistical distributions \|x Distribution functions \|x Probability distributions
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Random variables
650		4	\|a Economics \|x Macroeconomics \|x Aggregate economy \|x Supply and demand \|x Supply \|x Supply chain management
650		4	\|a Applied sciences \|x Applied physics \|x Conservation laws
650		4	\|a Physical sciences \|x Physics \|x Mechanics \|x Density
650		4	\|a Philosophy \|x Metaphysics \|x Etiology \|x Determinism
650		4	\|a Physical sciences \|x Physics \|x Microphysics \|x Particle physics \|x Particle density
650		4	\|a Applied sciences \|x Systems science \|x Systems theory \|x Chaos theory
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Probabilities \|x Conditional probabilities
650		4	\|a Physical sciences \|x Physics \|x Theoretical physics \|x Relativity \|x Relativistic theory \|x General relativity \|x Evolution equations
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Descriptive statistics \|x Statistical distributions \|x Distribution functions \|x Probability distributions
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Random variables
655		4	\|a research-article
700	1		\|a Ringhofer, C. \|e verfasserin \|4 aut
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773	1	8	\|g volume:68 \|g year:2007 \|g number:1 \|g pages:59-79
856	4	0	\|u https://www.jstor.org/stable/40233497 \|3 Volltext
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952			\|d 68 \|j 2007 \|e 1 \|h 59-79