A central limit theorem for a Markov-modulated infinite-server queue with batch Poisson arrivals and binomial catastrophes.
Moeko YajimaTuan Phung-DucPublished in: Perform. Evaluation (2019)
Keyphrases
- poisson arrivals
- arrival rate
- markov modulated
- poisson process
- central limit theorem
- heavy traffic
- queueing systems
- probability distribution
- asymptotically optimal
- arrival process
- steady state
- queueing networks
- queue length
- independent and identically distributed
- service rates
- queueing model
- fluid model
- single server queue
- call center
- holding cost
- state dependent
- service times
- markov chain