Abstract
In this study, we consider simultaneous connection routing in the three-stage switching fabric of the wavelength-space-wavelength architecture for elastic optical switches, which serve connections that can occupy different spectrum widths. Recently, the upper bound of the rearrangeability conditions was derived and proved for a switching fabric serving a limited number of connection rates. A control algorithm based on matrix decomposition was also proposed. In addition, the necessary and sufficient conditions were derived and proved for a switching fabric with a size of 2 times 2 serving only two connection rates, but only when the ratios between the connection rates and link capacity are integers. In this study, we extend these results to an arbitrary ratio between the connection rates and link capacity. The number of frequency slot units required in the interstage links is much lower than that in the strict-sense nonblocking switching fabrics. We also propose modifications to the control algorithm, which further reduces the number of frequency slot units required in many cases. Finally, we extend the results for 2 times 2 switching fabrics to those with a size of r times r.
Highlights
In an elastic optical network, known as flexible optical network, the spectrum is allocated to a lightpath according to the required spectrum and with certain granularity [1,2,3]
In [19], we first considered the upper bound for the rearrangeably nonblocking (RNB) conditions of WSW1 switching fabrics, as well as providing the necessary and sufficient conditions for switching fabrics with two input and output fibers, and serving two connection rates
The problem is determining which Frequency Slot Unit (FSU) in the interstage links should be used by these connections and how many FSUs are needed to set up all possible sets of compatible connections, i.e., when the switching fabric is RNB
Summary
In an elastic optical network, known as flexible optical network, the spectrum is allocated to a lightpath according to the required spectrum and with certain granularity [1,2,3]. In [19], we first considered the upper bound for the RNB conditions of WSW1 switching fabrics, as well as providing the necessary and sufficient conditions for switching fabrics with two input and output fibers, and serving two connection rates. Another limitation is that the ratio between the connection rates as well as between the connection rates and the fiber capacity should be an integer. 5, we derive and prove the sufficient conditions for the rearrangeability of 2 × 2 WSW1 switching fabrics for both control algorithms We assume that this switching fabric serves two connection rates, but there are no restrictions on the ratios between the connection rates and fiber capacity.
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