Mt/G/∞ queues with sinusoidal arrival rates
Management Science
A heavy-traffic analysis of a closed queueing system with a GI/\infty service center
Queueing Systems: Theory and Applications
Strong approximations for Markovian service networks
Queueing Systems: Theory and Applications
Designing a Call Center with Impatient Customers
Manufacturing & Service Operations Management
Nonstationary Queues: Estimation of the Rate of Convergence
Queueing Systems: Theory and Applications
Fluid Models for Multiserver Queues with Abandonments
Operations Research
Two-parameter heavy-traffic limits for infinite-server queues
Queueing Systems: Theory and Applications
A Network of Time-Varying Many-Server Fluid Queues with Customer Abandonment
Operations Research
A fluid model for many-server queues with time-varying arrivals and phase-type service distribution
ACM SIGMETRICS Performance Evaluation Review
| Hi-index | 0.00 |
We previously introduced and analyzed the G t /M t /s t +GI t many-server fluid queue with time-varying parameters, intended as an approximation for the corresponding stochastic queueing model when there are many servers and the system experiences periods of overload. In this paper, we establish an asymptotic loss of memory (ALOM) property for that fluid model, i.e., we show that there is asymptotic independence from the initial conditions as time t evolves, under regularity conditions. We show that the difference in the performance functions dissipates over time exponentially fast, again under the regularity conditions. We apply ALOM to show that the stationary G/M/s+GI fluid queue converges to steady state and the periodic G t /M t /s t +GI t fluid queue converges to a periodic steady state as time evolves, for all finite initial conditions.