Existence and characterization of product-form invariant distributions for state-dependent stochastic networks in the heavy-traffic diffusion limit.
Francisco J. PieraRavi R. MazumdarFabrice GuilleminPublished in: Queueing Syst. Theory Appl. (2008)
Keyphrases
- state dependent
- queueing networks
- product form
- heavy traffic
- steady state
- queue length
- stationary distribution
- arrival rate
- single server
- asymptotically optimal
- long run
- brownian motion
- fluid model
- service rates
- diffusion process
- queueing model
- service times
- markov chain
- probability distribution
- arrival process
- single server queue
- special case
- optimal policy
- transition probabilities
- joint distribution
- parallel algorithm
- random variables
- electronic commerce
- graphical models