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Table 5 The values of \(q^*_S, q^*_C, q^*_D\) for which the weighted sum throughput is maximized and the queue at S is unstable for \(\alpha =0.7, M_U=200, M_D=1000,\) and \(M_S =2000\)

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

  \(\delta = 0.5\) \(\delta =1.2\)
w \(T'_w\) \(q^*_S\) \(q^*_C\) \(q^*_D\) \(T'_w\) \(q^*_S\) \(q^*_C\) \(q^*_D\)
1/4 0.430 0 1 0 0.189 1 0 1
2/4 0.286 0 1 0 0.363 1 0 1
3/4 0.399 1 0.024 1 0.537 1 0 1