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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Bibliographic Details
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
Online Access:	Get full text
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Summary:	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