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https://doi.org/10.1080/00051144.2017.1358413

Mathematical modelling for TM topology under uniform and hotspot traffic patterns

Mehrnaz Moudi ; Department of Communication Technology and Network, Universiti Putra Malaysia, Serdang, Malaysia
Mohamed Othman ; Department of Communication Technology and Network, Universiti Putra Malaysia, Serdang, Malaysia

Puni tekst: engleski, pdf (953 KB) str. 88-96 preuzimanja: 197* citiraj
APA 6th Edition
Moudi, M. i Othman, M. (2017). Mathematical modelling for TM topology under uniform and hotspot traffic patterns. Automatika, 58 (1), 88-96. https://doi.org/10.1080/00051144.2017.1358413
MLA 8th Edition
Moudi, Mehrnaz i Mohamed Othman. "Mathematical modelling for TM topology under uniform and hotspot traffic patterns." Automatika, vol. 58, br. 1, 2017, str. 88-96. https://doi.org/10.1080/00051144.2017.1358413. Citirano 25.10.2021.
Chicago 17th Edition
Moudi, Mehrnaz i Mohamed Othman. "Mathematical modelling for TM topology under uniform and hotspot traffic patterns." Automatika 58, br. 1 (2017): 88-96. https://doi.org/10.1080/00051144.2017.1358413
Harvard
Moudi, M., i Othman, M. (2017). 'Mathematical modelling for TM topology under uniform and hotspot traffic patterns', Automatika, 58(1), str. 88-96. https://doi.org/10.1080/00051144.2017.1358413
Vancouver
Moudi M, Othman M. Mathematical modelling for TM topology under uniform and hotspot traffic patterns. Automatika [Internet]. 2017 [pristupljeno 25.10.2021.];58(1):88-96. https://doi.org/10.1080/00051144.2017.1358413
IEEE
M. Moudi i M. Othman, "Mathematical modelling for TM topology under uniform and hotspot traffic patterns", Automatika, vol.58, br. 1, str. 88-96, 2017. [Online]. https://doi.org/10.1080/00051144.2017.1358413

Sažetak
Interconnection networks are introduced when dealing with the connection of a significant number of processors in massively parallel systems. TM topology is one of the latest interconnection networks to solve the deadlock problem and achieve high performance in
massively parallel systems. This topology is derived from a Torus topology with removing cyclic channel dependencies. In this paper, we derive a mathematical model for TM topology under uniform and hotspot traffic patterns to compute the average delay. The average delay is formulated from the sum of the average delay of network, the average waiting time of the source node and the average degree of virtual channels. The results obtained from the mathematical model exhibit a close agreement with those predicted by simulation. In addition, sufficient simulation results are presented to revisit the TM topology performance under various traffic patterns.

Ključne riječi
TM topology; virtual channel; mathematical model; uniform; hotspot; delay

Hrčak ID: 203343

URI
https://hrcak.srce.hr/203343

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