Sks. Gupta et Pk. Srimani, Scheduling independent jobs for torus connected networks with/without linkcontention, MATH COMP M, 31(2-3), 2000, pp. 131-145
In this paper, we investigate the problem of how to schedule n independent
jobs on an m x m torus based network. We develop a model to to quantify the
effect of contention for communication links on the dilation of job execut
ion time when multiple jobs share communication links; we then design an ef
ficient algorithm to schedule a set of n independent jobs with different to
rus size requirements on a given torus with ari objective to minimize the t
otal schedule length. We also develop a feasibility algorithm for pre-empti
vely scheduling a given set of jobs on a torus of given size with a given d
eadline. We provide analysis for both the algorithms. (C) 2000 Elsevier Sci
ence Ltd. All rights reserved.