Q.L. Li, Y. Du, M. Wang and G. Dai (2014). Real-time dynamic control in the supermarket models and some numerical analysis. Chinese Journal of Applied Probability and Statistics, Vol. 30, No. 2, 129–150.
The supermarket model is a randomized load balancing scheme for real-time dynamic control of large-scale parallel queuing network. It has many important practical applications to computer networks, cloud computing, manufacturing systems and transportation networks. In this paper, for the supermarket models we consider some important issues, such as, real-time dynamic control modes; efficiency comparison; mean-field black hole; On/Off structure; stability; fixed point solution; system performanc