Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism.
Dieter ClaeysBart SteyaertJoris WalraevensKoenraad LaevensHerwig BruneelPublished in: Comput. Oper. Res. (2013)
Keyphrases
- batch size
- queueing model
- poisson process
- arrival rate
- service times
- processor sharing
- multiserver queues
- independent and identically distributed
- steady state
- arrival process
- waiting times
- fluid model
- batch mode
- finite buffer
- queueing systems
- batch processing
- single item
- offered load
- queue length
- asymptotically optimal
- stationary distribution
- single server
- call center
- queueing networks
- heavy traffic
- service rates
- state dependent
- probability distribution
- traffic intensity
- single server queue
- random variables
- holding cost
- markov chain
- transition probabilities
- fixed cost
- lot sizing
- control policy