Heavy traffic limits for queues with non-stationary path-dependent arrival processes.
Kerry W. FendickWard WhittPublished in: Queueing Syst. Theory Appl. (2022)
Keyphrases
- non stationary
- arrival processes
- heavy traffic
- queue length
- single server
- arrival process
- steady state
- queueing networks
- service rates
- limit theorems
- arrival rate
- queueing systems
- traffic intensity
- special case
- stationary distribution
- service times
- asymptotically optimal
- long run
- single server queue
- fluid model
- independent and identically distributed
- diffusion approximations
- state dependent
- waiting times
- random fields
- large deviations
- queueing model
- call center
- markov chain
- holding cost
- lead time
- random walk
- state space