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The reliability of a single stage production-storage system in meeting a constant known demand is analyzed. This system consists of a production facility subject to stochastic failure and repair processes and a storage facility of fixed capacity. When operable, the production facility is assumed to produce at a rate greater than the demand until the storage capacity is exhausted and then at the demand rate. Expressions are developed for the fraction of time demand is met and the average inventory level in the storage facility. Two variants of this problem are also solved.
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Robert R. Meyer
Ames Research Center
Michael H. Rothkopf
Rutgers, The State University of New Jersey
Stephen A. Smith
Santa Clara University
Management Science
University of Wisconsin–Madison
Palo Alto Research Center
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Meyer et al. (Wed,) studied this question.
synapsesocial.com/papers/6a1ed46eae66660099a460d8 — DOI: https://doi.org/10.1287/mnsc.25.8.799