Title :
The effect of time delays on the stability of load balancing algorithms for parallel computations
Author :
Chiasson, John ; Tang, Zhong ; Ghanem, Jean ; Abdallah, Chaouki T. ; Birdwell, J. Douglas ; Hayat, Majeed M. ; Jérez, Henry
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of Tennessee, Knoxville, TN, USA
Abstract :
A deterministic dynamic nonlinear time-delay system is developed to model load balancing in a cluster of computer nodes used for parallel computations. The model is shown to be self consistent in that the queue lengths cannot go negative and the total number of tasks in all the queues and the network are conserved (i.e., load balancing can neither create nor lose tasks). Further, it is shown that using the proposed load balancing algorithms, the system is stable in the sense of Lyapunov. Experimental results are presented and compared with the predicted results from the analytical model. In particular, simulations of the models are compared with an experimental implementation of the load balancing algorithm on a distributed computing network.
Keywords :
Lyapunov methods; computer networks; delays; nonlinear systems; parallel algorithms; resource allocation; stability; Lyapunov method; computer networks; deterministic dynamic nonlinear time-delay system; distributed computing network; load balancing; parallel computation; stability; Analytical models; Clustering algorithms; Computational modeling; Concurrent computing; Delay effects; Distributed computing; Load management; Load modeling; Nonlinear dynamical systems; Stability; Computer networks; load balancing; time delay systems;
Journal_Title :
Control Systems Technology, IEEE Transactions on
DOI :
10.1109/TCST.2005.854339
