BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Performance Analysis of a Markovian Queue with Service Rate and Customers' Joining Decisions Zhang, George


We consider the customers' equilibrium strategy and socially optimal strategy in a single server Markovian queueing system with changeable service rates controlled by a threshold. When a customer arrives at an empty system, he is served by the server at a lower service rate. When the queue length reaches the threshold, customers are served at a high service rate. The optimal joining strategies of customers are studied under two information scenarios. The first scenario, where the server' state and the queue length are observable, is called a fully observable case. The second scenario, where the system state is not observable, is called an unobservable case. We analyze the steady-state distribution and performance measures of the system, and derive the equilibrium strategy. Finally, we compare the equilibrium strategy with socially optimal strategy via numerical examples.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International