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math.PR2026
The Amplitude Dynamics of Impulsive Queues
Ruici Gao, Jamol Pender
In this paper, we analyze a multiserver Markovian queue with customer abandonment i.e. the Erlang-A queue uder a novel framework, i.e. the random impulsive differential equations (…
math.PR2026
Queues with Rechargeable Servers
Eliezer Fuentes-Quezada, Jamol Pender
Drone delivery systems violate a core assumption in classical queueing models: server capacity is not fixed. Drones (servers) periodically must recharge, creating random fluctuatio…
math.PR2025
Community Bail Fund Systems: Fluid Limits and Approximations
Yidan Zhang, Jamol Pender
Community bail funds (CBFs) assist individuals who have been arrested and cannot afford bail, preventing unnecessary pretrial incarceration along with its harmful or sometimes fata…