A central limit theorem for a Markov-modulated infinite-server queue with batch Poisson arrivals and binomial catastrophes.
Moeko YajimaTuan Phung-DucPublished in: SIGMETRICS Perform. Evaluation Rev. (2018)
Keyphrases
- poisson arrivals
- markov modulated
- arrival rate
- poisson process
- central limit theorem
- heavy traffic
- queueing systems
- arrival process
- probability distribution
- asymptotically optimal
- steady state
- queueing networks
- independent and identically distributed
- queue length
- queueing model
- single server queue
- service rates
- fluid model
- state dependent
- call center
- service times
- single server
- holding cost
- waiting times
- large deviations
- decision making
- random walk
- markov chain
- search space