The role of queue length information in congestion control and resource pricing
James R. Perkins, R. Srikant · 2003
We consider a single-user congestion problem with a packet loss constraint viewed as a stochastic control problem. Using a precise nonlinear model of the queue with a time-varying Markovian service rate, we show that the optimal controller is a bang-bang type solution. Additionally, we show that a stochastic problem with a quality of service (QoS) constraint can also be viewed as an unconstrained stochastic problem where the user is forced to pay a price for QoS violations.