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Table 8 The values of \(q^*_S\) and \(q^*_C\) for which the weighted sum throughput is maximized when the queue at S is stable, \(\alpha = 0.7, M_U = 200, M_D = 0,\) and \(M_S = 2000\)

From: A wireless caching helper system with heterogeneous traffic and random availability

\(M_D =0\) \(\delta = 0.5\) \(\delta = 1.2\)
w max.\(T_w\) \(q^*_S\) \(q^*_C\) max. \(T_w\) \(q^*_S\) \(q^*_C\)
1/4 0.445 0.994 1 0.187 1 1
2/4 0.300 0.977 1 0.358 1 1
3/4 0.348 0.999 1 0.529 1 1