Abstract
A two-valve fluid-flow system with finite storage in between is considered. Valves are subject to failures with exponential up times and phase type repair times. We have developed a continuous time Markov Chain approach to study the steady-state behavior of the valves and the material in the storage. The Markov chain has both continuous and discrete states. We have constructed a system of linear equations for the boundary states and a set of differential equations for the interior states, that are solved using the eigenvalue method. We have also investigated the impact of down time variability on the system performance metrics.
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Özdoğru, Ü., Altiok, T. (2003). Analysis of Two-Valve Fluid-Flow Systems with General Repair Times. In: Gershwin, S.B., Dallery, Y., Papadopoulos, C.T., Smith, J.M. (eds) Analysis and Modeling of Manufacturing Systems. International Series in Operations Research & Management Science, vol 60. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1019-2_11
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DOI: https://doi.org/10.1007/978-1-4615-1019-2_11
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