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math.PR2026
Erlang Loss Model with Energy Constrained Servers
Elijah Kulikov, Eliezer Fuentes-Quezada, Jamol Pender
In this paper, we study an Erlang-type loss system with energy-constrained servers. Each server is equipped with a finite battery and becomes temporarily unavailable for service wh…
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
We introduce an Erlang-S queue with stochastic server unavailability motivated by charging dynamics in drone delivery systems. Servers enter a charging state after service with…