Abstract
Abstract A closed-loop conveyor with one loading station and one unloading station is considered. The material arriving at the unloading station is modeled as a stationary stochastic process. An analytical solution for the probability distribution of the material flow leaving the unloading station is presented. It is shown that the storage feature of the closed loop can be utilized to smooth the random fluctuations present in the input flow. This smoothing is quantified by the variance reduction factor, which is the ratio of the variances of output flow and input flow. The variance reduction factor is related to the conveyor capacity and a linear decision rule for unloading.
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