Concavity of the conditional mean sojourn time in the M/G/1 processor-sharing queue with batch arrivals.
Jeongsim KimBara KimPublished in: Queueing Syst. Theory Appl. (2008)
Keyphrases
- processor sharing queue
- service times
- arrival processes
- queue length
- steady state
- processor sharing
- fluid model
- queueing networks
- heavy traffic
- queueing systems
- single server
- state dependent
- markov chain
- stationary distribution
- arrival rate
- queueing model
- random variables
- call center
- arrival process
- random field model
- convex hull
- independent and identically distributed
- conditional probabilities
- batch processing
- search space
- random walk
- asymptotically optimal
- special case