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Table 10 The values of \(q^*_S\) and \(q^*_D\) for which the weighted sum throughput is maximized when the queue at S is stable, \(\alpha = 0.7, M_U = 200, M_D=1000,\) and \(M_S = 0\)

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

\(M_S =0\) \(\delta = 0.5\) \(\delta = 1.2\)
w max.\(T_w\) \(q^*_S\) \(q^*_D\) max.\(T_w\) \(q^*_S\) \(q^*_D\)
1/4 0.383 0.993 1 0.189 1 1
2/4 0.296 1 1 0.362 1 1
3/4 0.498 1 1 0.536 1 1