Robustness Measure for Hypercube networks
Proceedings of the 36th Midwest Symposium on Circuits and Systems, 1993
First page number:
Last page number:
This paper addresses a constrained two-terminal reliability measure referred to as Distance Reliability (DR) between two nodes s and t of Hamming distance H(s,t). in hypercube networks (Bn). The shortest distance restriction guarantees optimal communication delay between processors and high link/node utilization across the network. Moreover, it provides a measure for the robustness of the network. In particular, when H(s,t)=n in Bn, DR will yield the probability of degradation in the diameter, a concept which directly relates to fault-diameter. The paper proposes two schemes to evaluate DR in Bn. The first scheme uses a combinatorial approach by limiting the number of faulty components to (2H(s,t)-2), while the second outlines paths of length H(s,t) and, then, generates a recursive closed-form solution to compute DR. The theoretical results have been verified by simulation. The discrepancy between the theoretical and simulation results is in most cases below 1% and in the worst case 4.6%
Electrical and Computer Engineering | Engineering | Signal Processing | Systems and Communications
Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.
Robustness Measure for Hypercube networks.
Proceedings of the 36th Midwest Symposium on Circuits and Systems, 1993, 1