Abstract — In this paper, we use an asymptotic analysis similar to the sphere-packing argument in the proof of Shannon’s channel capacity theorem to derive optimal provisioning requirements for networks with both static and dynamic provisioning. We consider an N-user shared-link model where Ws wavelengths are statically assigned to each user, and a common pool of Wd wavelengths are available to all users. We derive the minimum values of Ws and Wd required to achieve asymptotically non-blocking performance as the number of users N becomes large. We show that it is always optimal to statically provision at least enough wavelengths to support the mean of the traffic. We then consider allowing the shared wavelengths Wd to be switched in groups (or wavebands) rather than on an individual basis, and show that by employing waveband switching, a link with only a few switches per user can achieve the same performance as a link provisioned with unlimited switches per user using only marginally more wavelengths. We also derive the optimal band size and wavelengths required. Finally, we discuss adaptation of these results to the case of a finite and small number of users. I
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