Crosstalk-Aware Virtual Network Mapping Algorithm in Space Division Multiplexing Elastic Optical Networks

Table 1. Optical fiber parameters
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Table 1. Optical fiber parameters
Parameter Value
$k$ 3.16 $\times 10^{- 4}$
$r$ /mm 55
$β$ /m^-1 $4 \times 10^{6}$
$ω$ /μm 45
${X_{T}}_{,}_{t h r e s h o l d}$ /dB -32

Table 2. Comparison of time complexity for different algorithms

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Table 2. Comparison of time complexity for different algorithms

Algorithm	Time complexity
SD-VNM	$O \{{\|N^{(v)}\|}^{2} + \|N^{(s)}\| \|N^{(v)}\| + K \|C^{(s)}\| I \|F\| [\|N^{(s)}\| l o g \|N^{(s)}\|]\}$
CA-VNM	$O \{{\|N^{(v)}\|}^{2} + \|N^{(s)}\| \|N^{(v)}\| + \|N^{(s)}\| \|C^{(s)}\| \|F\| [\|L^{(s)}\| + \|N^{(s)}\| l o g \|N^{(s)}\|] + K \|C^{(s)}\| I \|F\| [\|N^{(s)}\| l o g \|N^{(s)}\|]\}$
LCLC-VNM	$O \{\|N^{(v)}\| + \|N^{(s)}\| \|N^{(v)}\| + \|C^{(s)}\| \|F\| [\|N^{(s)}\| l o g \|N^{(s)}\|]\}$
LCLC-FS	$O \{\|N^{(v)}\| + \|N^{(s)}\| \|N^{(v)}\| + K \|C^{(s)}\| I \|F\| [\|N^{(s)}\| l o g \|N^{(s)}\|]\}$
LCLC-ND	$O \{{\|N^{(v)}\|}^{2} + \|N^{(s)}\| \|N^{(v)}\| + \|N^{(s)}\| \|C^{(s)}\| \|F\| [\|L^{(s)}\| + \|N^{(s)}\| l o g \|N^{(s)}\|] + \|C^{(s)}\| \|F\| [\|N^{(s)}\| l o g \|N^{(s)}\|]\}$
SVNE-RMSC	$O \{{\|N^{(v)}\|}^{2} + \|N^{(s)}\| \|C^{(s)}\| \|F\| [\|L^{(s)}\| + \|N^{(s)}\| l o g \|N^{(s)}\|] + K \|C^{(s)}\| I \|F\| [\|N^{(s)}\| l o g \|N^{(s)}\|]\}$

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Danping Ren, Li Zhang, Jinhua Hu. Crosstalk-Aware Virtual Network Mapping Algorithm in Space Division Multiplexing Elastic Optical Networks[J]. Acta Optica Sinica, 2023, 43(5): 0506003

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