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Table 11 The values of \(q^*_S\) and \(q^*_D\) for which the weighted sum throughput is maximized when the queue at S is unstable, \(\alpha = 0.7, M_U = 200, M_D = 1000,\) 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 0.387 0 1 0.189 1 1
2/4 0.286 1 1 0.363 1 1
3/4 0.399 1 1 0.537 1 1