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math.PR2020
On the sojourn time of a batch in the Processor Sharing Queue
Fabrice Guillemin, Alain Simonian, Ridha Nasri +1
In this paper, we analyze the sojourn of an entire batch in a processor sharing processor queue, where geometrically distributed batches arrive according to a Poisson…
math.CA2020
A New Linear Inversion Formula for a class of Hypergeometric polynomials
Ridha Nasri, Alain Simonian, Fabrice Guillemin
Given complex parameters , , , and , consider the infinite lower triangular matrix with elements $$ A_{n,k}(x,ν;α,β,γ) =…