Phase plot for a sensitivity parameter
By Kazuma Abe
The following movies are supplementary animations for the paper below:
K. Abe and T. Phung-Duc. “Load balancing in parallel infinite-server queues with action delay via phase representation.” 2026.
Movies
Movie 1. This video supplements Fig. 6 of the paper. This case illustrates a case where an action delay follows an exponential distribution, which converges to an equilibrium point as time passes. We can observe that increasing the sensitivity parameter $\theta$ slows down the convergence to the equilibrium point.
Movie 2.