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math.PR2024
A Random-Walk Concentration Principle for Occupancy Processes on Finite Graphs
Davide Sclosa, Michel Mandjes, Christian Bick
This paper concerns discrete-time occupancy processes on a finite graph. Our results can be formulated in two theorems, which are stated for vertex processes, but also applied to e…
math.PR2024
Finite customer-pool queues
Onno Boxma, Offer Kella, Michel Mandjes
In this paper we consider an M/G/1-type queue fed by a finite customer-pool. In terms of transforms, we characterize the time-dependent distribution of the number of customers and…