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 |