A Torus-Based 4-Way Fault-Tolerant Backbone Network Architecture for Avionic WDM LANs

Dexiang Wang; Janise Y. McNair

doi:10.1364/JOCN.3.000335

Journal of Optical Communications and Networking
Vol. 3,
Issue 4,
pp. 335-346
(2011)
•https://doi.org/10.1364/JOCN.3.000335

A Torus-Based 4-Way Fault-Tolerant Backbone Network Architecture for Avionic WDM LANs

Dexiang Wang and Janise Y. McNair

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Dexiang Wang and Janise Y. McNair, "A Torus-Based 4-Way Fault-Tolerant Backbone Network Architecture for Avionic WDM LANs," J. Opt. Commun. Netw. 3, 335-346 (2011)

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About this Article
History
- Original Manuscript: September 14, 2010
- Revised Manuscript: January 27, 2011
- Manuscript Accepted: February 18, 2011
- Published: March 31, 2011

Abstract

In this paper, we leverage the torus topology to design a wavelength division multiplexing (WDM) backbone network for operation in hazardous avionic environments. The proposed WDM local area network offers efficient data delivery and fast fault recovery via establishing four non-overlapping lightpaths for any source–destination pair. First, we describe a torus-based architecture and propose an efficient non-overlapping lightpath setup algorithm: FOLD (Four-way Optimal Disjoint Routing). The algorithm is proved to achieve optimal link utilization. Second, based on the proposed lightpath setup algorithm, a wavelength allocation and reuse (WAR) scheme enforcing wavelength continuity is proposed to minimize the wavelength utilization for all-to-all communication. An analytical calculation on wavelength utilization shows that the proposed WAR performs very close to an ideal wavelength assignment scheme without wavelength continuity being enforced. Lastly, the probabilistic and capacity analysis demonstrates vast reliability improvement via applying the proposed network architecture in terms of network-failure-induced impact on connection reliability and network capacity degradation.

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Equations (12)

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$L_{S, D}$	Expressions
$L_{S, D (I)}$	$4 (d_{X} + d_{Y} + 2)$
$L_{S, D (I I)}$	$2 (N + d_{X} + d_{Y})$
$L_{S, D (I I I)}$	$N + 2 (2 d_{Y} + d_{X} + 2)$
$L_{S, D (I V)}$	$N + 2 (2 d_{X} + d_{Y} + 2)$
$L_{S, D (I^{'})}$	$4 (d_{X} + 3)$
$L_{S, D (I I^{'})}$	$N + 2 (d_{X} + 2)$
$L_{S, D (I^{″})}$	$4 (d_{Y} + 3)$
$L_{S, D (I I^{″})}$	$N + 2 (d_{Y} + 2)$

$L_{S}$	Expressions
$L_{S} (2 \leq N \leq 5, N is odd)$	$(3 N^{3} - 2 N^{2} + 7 N - 8) / 2$
$L_{S} (2 \leq N \leq 5, N is even)$	$(3 N^{3} - 2 N^{2} + 8 N - 8) / 2$
$L_{S} (6 \leq N \leq 9, N is odd)$	$(2 N^{3} + 9 N^{2} - 28 N + 17) / 2$
$L_{S} (6 \leq N \leq 9, N is even)$	$(2 N^{3} + 9 N^{2} - 26 N + 16) / 2$
$L_{S} (N \geq 10, N is odd)$	$(N^{3} + 4 N^{2} - 5 N - 32)$
$L_{S} (N \geq 10, N is even)$	$(N^{3} + 4 N^{2} - 4 N - 32)$

W_WAR	Expressions
$W_{W A R} (N = 2)$	6
$W_{W A R} (N = 3)$	21
$W_{W A R} (N = 4)$	48
$W_{W A R} (N = 5)$	$N (N^{2} + 12 N - 43) / 2$
$W_{W A R} (N = 7)$	$N (N^{2} + 12 N - 47) / 2$
$W_{W A R} (N = 9)$	$N (N^{2} + 12 N - 51) / 2$
$W_{W A R} (N \geq 11, N is odd)$	$N (N^{2} + 12 N - 55) / 2$
$W_{W A R} (N \geq 6, N is even)$	$N (N^{2} + 10 N - 32) / 2$

$L_{S, D}$	Expressions
$L_{S, D (I)}$	$4 (d_{X} + d_{Y} + 2)$
$L_{S, D (I I)}$	$2 (N + d_{X} + d_{Y})$
$L_{S, D (I I I)}$	$N + 2 (2 d_{Y} + d_{X} + 2)$
$L_{S, D (I V)}$	$N + 2 (2 d_{X} + d_{Y} + 2)$
$L_{S, D (I^{'})}$	$4 (d_{X} + 3)$
$L_{S, D (I I^{'})}$	$N + 2 (d_{X} + 2)$
$L_{S, D (I^{″})}$	$4 (d_{Y} + 3)$
$L_{S, D (I I^{″})}$	$N + 2 (d_{Y} + 2)$

$L_{S}$	Expressions
$L_{S} (2 \leq N \leq 5, N is odd)$	$(3 N^{3} - 2 N^{2} + 7 N - 8) / 2$
$L_{S} (2 \leq N \leq 5, N is even)$	$(3 N^{3} - 2 N^{2} + 8 N - 8) / 2$
$L_{S} (6 \leq N \leq 9, N is odd)$	$(2 N^{3} + 9 N^{2} - 28 N + 17) / 2$
$L_{S} (6 \leq N \leq 9, N is even)$	$(2 N^{3} + 9 N^{2} - 26 N + 16) / 2$
$L_{S} (N \geq 10, N is odd)$	$(N^{3} + 4 N^{2} - 5 N - 32)$
$L_{S} (N \geq 10, N is even)$	$(N^{3} + 4 N^{2} - 4 N - 32)$

Abstract

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Equations (12)

Journal of Optical Communications and Networking