Tail asymptotics of the waiting time and the busy period for the $${{\varvec{M/G/1/K}}}$$ queues with subexponential service times.
Bin LiuJinting WangYiqiang Q. ZhaoPublished in: Queueing Syst. Theory Appl. (2014)
Keyphrases
- service times
- heavy traffic
- queue length
- steady state
- queueing networks
- stationary distribution
- single server
- large deviations
- queueing model
- state dependent
- markov chain
- service rates
- processor sharing
- arrival process
- arrival rate
- waiting times
- priority queue
- queueing systems
- call center
- single server queue
- poisson arrivals
- fluid model
- traffic intensity
- random variables
- finite buffer
- arrival processes
- processor sharing queue
- multiserver queues
- asymptotically optimal
- special case
- independent and identically distributed
- random walk
- np hard
- transition probabilities
- service level
- reinforcement learning