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Maximum channel utilization in case of pure ALOHA is:
ConceptALOHA is a medium access control (MAC) protocol for the transmission of data via a shared network channelFormula:Throughput of pure ALOHA (F(G)) = G × e-2GCalculation:F(G) = G × e-2GF(G) = -2G × e-2G + e-2G To get maximum value0 = -2G × e-2G + e-2G 0 = e-2G (-2G × 1)e-2G ? 0(-2G × 1) = 0? G = 1 ÷ 2? = Maximum throughput of pure ALOHA = \(\frac{1\times e^{-2\frac{1}{2}}}{2}\)put = G = 1 ÷ 2? = 1 ÷ 2e = 0.1839 ? 0.184Efficiency in percentage = 0.184 × 100 = 18.4 %Option 2 is the closest answerNote:To find the value of G use the concept of maxima and minima value in application of differentiation
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