74 citations · 190 across the 73 of their papers we have counts for
74 papers
Stochastic Reservoir Calculations
Steven Finch
Prabhu (1958) obtained the stationary distribution of storage level in a reservoir of finite volume , given an inflow and an outflow . Time is assumed…
M/G/1-FIFO Queue with Uniform Service Times
Steven Finch
An exact formula for the equilibrium M/U/1 waiting time density is now effectively known. What began as a numeric exploration became a symbolic banquet. Inverse Laplace transforms…
Components and Cycles of Random Mappings
Steven Finch
Each connected component of a mapping contains a unique cycle. The largest such component can be studied probabilistically via either a dela…
Joint Probabilities within Random Permutations
Steven Finch
A celebrated analogy between prime factorizations of integers and cycle decompositions of permutations is explored here. Asymptotic formulas characterizing semismooth numbers (poss…
Second Best, Third Worst, Fourth in Line
Steven Finch
We investigate decomposable combinatorial labeled structures more fully, focusing on the exp-log class of type a=1 or 1/2. For instance, the modal length of the second longest cycl…
Rounds, Color, Parity, Squares
Steven Finch
This is a sequel to our paper "Permute, Graph, Map, Derange", involving decomposable combinatorial labeled structures in the exp-log class of type a=1/2, 1, 3/2, 2. As before, our…