An Optimal Broadcasting Algorithm without Message Redundancy in Star Graphs
IEEE Transactions on Parallel and Distributed Systems
A fault-tolerant broadcasting algorithm for hypercubes
Information Processing Letters
Broadcasting in hypercubes and star graphs with dynamic faults
Information Processing Letters
Embedding of binomial trees in hypercubes with link faults
Journal of Parallel and Distributed Computing
Optimal broadcasting in hypercubes with dynamic faults
Information Processing Letters
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Optimal Broadcasting on the Star Graph
IEEE Transactions on Parallel and Distributed Systems
Entropy maximisation and open queueing networks with priorities and blocking
Performance Evaluation
One-to-All Broadcasting Scheme for Hypercubes with Background Traffic
ANSS '03 Proceedings of the 36th annual symposium on Simulation
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Optimal broadcasting schemes for interconnection networks (INs) are most essential for the efficient interprocess communication amongs: parallel computers. In this paper two novel broadcasting schemes are proposed for hypercube computers with bursty background traffic and a single-port mode of message passing communication. The schemes utilize a maximum entropy (ME) based queue-by-queue decomposition algorithm for arbitrary queueing network models (QNMs) [D.D. Kouvatsos, I. Awan, Perform. Eval. 51 (2003) 191] and are based on binomial trees and graph theoretic concepts. It is shown that the overall cost of the one-to-all broadcasting scheme is given by max{ω1, ω2.....ω2n/2}, where ωi i = 1, 2,..,2n/2 is the total weight at each leaf node of the binomial tree and n is the degree of the hypercube. Moreover, the upper bound of the total cost of the neighbourhood broadcasting scheme is determined by ΣFi = 1 max{ωi}, where F is an upper bound of the number of steps and is equal to 1.33[log2(n - 1)] + 1. Evidence based on empirical studies indicates the suitability of the schemes for achieving optimal broadcasting costs.