Gates that transfer objects within their capacity, without formation of queues, are considered in a combinatorial
framework. The number of different ways, I (m,n,l), n objects can pass randomly an array of m gates, each with
constrained capacity l, is used to characterize its performance. Two gate distributions were formulated and their properties
studied. The first, n dependent distribution was found to be symmetric, whereas the second, l dependent distribution is
skew. These properties persist also in the case of multivariate gate distributions. In the latter case, the expectation and
variance turn to have additive properties, respectively.
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