Infrastructure Management White Papers
Queue Lengths and Waiting Times for Multiserver Queues With Abandonment and Retrials
Overview This paper considers a Markovian multiserver queueing model with time dependent parameters where waiting customers may abandon and subsequently retry. The paper provides simple fluid and diffusion approximations to estimate the mean, variance, and density for both the queue length and virtual waiting time processes arising in this model. These approximations, which are generated by numerically integrating only 7 ordinary differential equations, are justified by limit theorems where the arrival rate and number of servers grow large. These approximations are compared to simulations, and they perform extremely well.
| Publisher | Alcatel-Lucent | File Format | |
|---|---|---|---|
| Date Published | February 2001 | Downloads | 1 |
| Format | White Papers | ||
| Topics | |||
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