Virtual output queuing, Financial Accounting

Please prove that the maximum throughput of input queued switch is 0.586 when switch size N approaches infinity. Assume the incoming traffic is uniformly distributed.

Please demonstrate that for virtual output queuing, maximum weight scheduling is better that maximum size scheduling.

Please draw 16 × 16 Batcher sorting network. What is the complexity of this network?

Explain why worst-case fair WFQ can have the absolute fairness bound.

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