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math.PR2025
Polling on a circle with non-uniform batch arrivals
Tim Engels, Ivo Adan, Onno Boxma +1
In this paper, we analyze a polling system on a circle with. Random batches of customers arrive at a circle, where each customer, independently, obtains a location according to a g…
math.PR2025
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…
math.PR2025
On reflected Lévy processes with collapse
Onno Boxma, Offer Kella, David Perry
We consider a Lévy process reflected at the origin with additional i.i.d. collapses that occur at Poisson epochs, where a collapse is a jump downward to a state which is a random…