Abstract

We correct the results for WSW2 networks with limited input/output fibers derived in the paper [J. Opt. Commun. Netw. , vol.  10, no. 8, p. 675, 2018 [CrossRef]  ]. The revised results show that when the number of input/output switches is less than the maximum number of frequency slot units occupied by a single connection, a rearrangeable nonblocking WSW2 network with limited input/output fibers (1) consumes fewer middle switches than a WSW2 network with limited connection rates, and (2) reduces the strictly nonblocking result down to at least half.

© 2019 Optical Society of America

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References

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  1. B.-C. Lin, “Rearrangeable W-S-W elastic optical networks generated by graph approaches,” J. Opt. Commun. Netw., vol.  10, no. 8, pp. 675–685, 2018.
    [Crossref]

2018 (1)

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Figures (2)

Fig. 4.
Fig. 4. (b)  WSW 2 ( q , p , r , n , k ) network.
Fig. 9.
Fig. 9. A frame F of connection groups C 1 , 1 = { ( 1 , 1 , 1 ) , ( 1 , 1 , 1 ) , ( 1 , 2 , 1 ) } , C 1 , 2 = { ( 1 , 4 , 1 ) } , C 2 , 1 = { ( 2 , 2 , 2 ) } , C 3 , 2 = { ( 3 , 3 , 3 ) } , C 3 , 1 = { ( 3 , 1 , 1 ) } , C 4 , 1 = { ( 4 , 2 , 1 ) } and C 4 , 2 = { ( 4 , 4 , 3 ) } is given in a WSW2(2, 2, 2, 4, 8) network for m -slot connections, where 1 m m max = 3 . (a) A routing of all connections in F according to Routing Algorithm IV refers to the edge-coloring of its corresponding graphs H F , 0 and H F , 1 , which are generated by Graph Approach III and given in (b). (b) Corresponding graphs H F , 0 and H F , 1 of (a), where Δ ( H F , 0 ) = Δ ( H F , 1 ) q = 2 and colors 1–2 and 3–4 (marked in red font) are used for edge-coloring of H F , 0 and H F , 1 , respectively.

Tables (2)

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TABLE III Different Values of p for a WSW 2 ( 4 , p , r , 10 , 20 ) Network With r 16 for m -slot Connections, Where 1 m m max , p SNB , p RNB * , and p RNB are given in Eqs. (2) in [1] and (11) and Property 6

Tables Icon

TABLE IV Different Values of p for a WSW 2 ( 4 , p , r , 20 , 40 ) Network With r 30 for m -slot Connections, Where 1 m m max , p SNB , p RNB * , and p RNB are given in Eqs. (2) in [1] and (11) and Property 6

Equations (1)

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p RNB * = ( x = 1 m max ( n q x · x ) ) / k .