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Reliability of supply chains in a random environment

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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.

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Correspondence to A. M. Andronov.

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Original Russian Text © A.M. Andronov, T. Jurkina, 2015, published in Avtomatika i Vychislitel’naya Tekhnika, 2015, No. 6, pp. 28–36.

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Andronov, A.M., Jurkina, T. Reliability of supply chains in a random environment. Aut. Control Comp. Sci. 49, 340–346 (2015). https://doi.org/10.3103/S0146411615060036

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  • DOI: https://doi.org/10.3103/S0146411615060036

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