Steady-State Probabilities for a Queue with a General Service Distribution and State-Dependent Arrivals.
Raymond A. MarieJean M. PellaumailPublished in: IEEE Trans. Software Eng. (1983)
Keyphrases
- steady state
- state dependent
- service times
- queueing model
- queue size
- single server queue
- arrival process
- queue length
- product form
- traffic intensity
- processor sharing queue
- markov chain
- stationary distribution
- single server
- service rates
- large deviations
- heavy traffic
- arrival rate
- queueing networks
- fluid model
- special case
- multiserver queues
- flow control
- explicit expressions
- waiting times
- queueing systems
- service systems
- transition probabilities
- finite buffer
- service requirements
- loss probability
- poisson arrivals
- interarrival and service times
- independent and identically distributed
- probability distribution
- optimal policy
- sufficient conditions
- inventory level
- computational complexity