Reliability of supply chains in a random environment

A supply chain is considered that operates in a random environment.The last is described by continuous-time finite irreducible Markov chain. Each state of the environment (the Markov chain) has its own probability of fatal failure as a result of the breakdown of the supply. There are algorithms for...

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Published in:Automatic control and computer sciences Vol. 49; no. 6; pp. 340 - 346
Main Authors: Andronov, A. M., Jurkina, T.
Format: Journal Article
Language:English
Published: New York Allerton Press 01.11.2015
Subjects:
Computer Science
Control Structures and Microprogramming
Markov chain
nonstationary probabilities of states
failure intensity
polynomial approximation
ISSN:0146-4116, 1558-108X
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Abstract A supply chain is considered that operates in a random environment.The last is described by continuous-time finite irreducible Markov chain. Each state of the environment (the Markov chain) has its own probability of fatal failure as a result of the breakdown of the supply. There are algorithms for calculating the reliability of the chain (a probability of a successful supply) and the distribution function of the successful performance time presented in this paper. The numerical example illustrates the suggested approach.
AbstractList A supply chain is considered that operates in a random environment.The last is described by continuous-time finite irreducible Markov chain. Each state of the environment (the Markov chain) has its own probability of fatal failure as a result of the breakdown of the supply. There are algorithms for calculating the reliability of the chain (a probability of a successful supply) and the distribution function of the successful performance time presented in this paper. The numerical example illustrates the suggested approach.
Author Jurkina, T.
Andronov, A. M.
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Keywords Markov chain
nonstationary probabilities of states
failure intensity
polynomial approximation
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K. Wolfgang (6408_CR6) 2006
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Control Structures and Microprogramming
Title Reliability of supply chains in a random environment
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