Abstract
Abstract A general model for a class of production lines with two unreliable stations, a finite capacity interstation buffer, discrete items, constant cycle time, and synchronous transfer is presented. The model is applicable to a broad range of production lines with various item service mechanisms, item transfer mechanisms, station breakdown mechanisms, and station repair mechanisms. The model provides insights into the general properties of production lines and gives rise to a general recursive solution for the steady-state probabilities. Sufficient conditions are given for the two special cases, the matrix geometric case and the scalar geometric case, which permit the efficient computation of the production rate.
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