Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent M/G/1-type and its application to BMAP/M/∞ and BMAP/M/c+M queues.
Tetsuya TakinePublished in: Queueing Syst. Theory Appl. (2016)
Keyphrases
- stationary distribution
- markov chain
- queue length
- queueing networks
- markov process
- product form
- state dependent
- steady state
- service times
- service rates
- random walk
- queueing model
- transition probabilities
- finite state
- initial state
- single server
- stochastic process
- sufficient conditions
- state space
- markov processes
- markov model
- reinforcement learning
- queueing systems
- call center
- heavy traffic
- gaussian distribution
- special case