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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