17 citations · 75 across the 33 of their papers we have counts for
20 papers · 1 filter
When Lines Become Contagious: Analyzing the Spread of Infection in the M/M/1 Queue
Laurel Newman, Jamol Pender
In this paper, we construct and analyze a stochastic model for infectious disease spread in service systems. Our model considers a queue where a proportion, , of the arr…
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…
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 (…
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…
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…
The Maximum Overlap Time in the M/M/1 Queue
Sergio Palomo, Jamol Pender
In this paper, we analyze the steady state maximum overlap time in the M/M/1 queue. We derive the maximum overlap time tail distribution, its moments and the moment generating func…