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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Vydané v:Automatic control and computer sciences Ročník 49; číslo 6; s. 340 - 346
Hlavní autori: Andronov, A. M., Jurkina, T.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Allerton Press 01.11.2015
Predmet:
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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Shrnutí: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.
ISSN:0146-4116
1558-108X
DOI:10.3103/S0146411615060036