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 |