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01/08/2023
Stochastic Reservoir Calculations
Prabhu (1958) obtained the stationary distribution of storage level Z_t ...
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10/16/2022
D/M/1 Queue: Policies and Control
Equilibrium G/M/1-FIFO waiting times are exponentially distributed, as f...
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08/21/2022
M/D/1 Queues with LIFO and SIRO Policies
While symbolics for the equilibrium M/D/1-LIFO waiting time density are ...
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06/21/2022
M/G/1-FIFO Queue with Uniform Service Times
An exact formula for the equilibrium M/U/1 waiting time density is now e...
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05/11/2022
Components and Cycles of Random Mappings
Each connected component of a mapping {1,2,...,n}→{1,2,...,n} contains a...
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03/21/2022
Joint Probabilities within Random Permutations
A celebrated analogy between prime factorizations of integers and cycle ...
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02/15/2022
Second Best, Third Worst, Fourth in Line
We investigate decomposable combinatorial labeled structures more fully,...
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11/29/2021
Rounds, Color, Parity, Squares
This is a sequel to our paper "Permute, Graph, Map, Derange", involving ...
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11/10/2021
Permute, Graph, Map, Derange
We study decomposable combinatorial labeled structures in the exp-log cl...
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10/13/2020
Covariance within Random Integer Compositions
Fix a positive integer N. Select an additive composition ξ of N uniforml...
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05/25/2020
Variance of Longest Run Duration in a Random Bitstring
We continue an earlier study, starting with unconstrained n-bitstrings, ...
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03/20/2020
Cantor-solus and Cantor-multus Distributions
The Cantor distribution is obtained from bitstrings; the Cantor-solus di...
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02/07/2020
Recursive PGFs for BSTs and DSTs
We review fundamentals underlying binary search trees and digital search...
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12/09/2019
Resolving Conflicts and Electing Leaders
We review distributed algorithms for transmitting data (n real numbers) ...
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09/05/2019
Number of Sign Changes: Segment of AR(1)
Let X_t denote a stationary first-order autoregressive process. Consider...
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08/12/2019