Table 4 The values of \(q^*_S, q^*_C, q^*_D\) for which the weighted sum throughput is maximized and the queue at S is stable 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 | 0.423 | 0.029 | 1 | 0 | 0.187 | 0.99 | 1 | 1 |
2/4 | 0.286 | 0.978 | 1 | 1 | 0.358 | 0.99 | 1 | 1 |
3/4 | 0.392 | 0.996 | 1 | 1 | 0.536 | 1 | 1 | 1 |