Summary of notations | |
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G(N,E) | Directed graph that represents a wireless mesh network |
N | Set of nodes in the network |
E | Set of links in the network |
(a,b) | Link conveying data from node a to node b |
t(l) | Transmitter node of link l |
r(l) | Receiver node of link l |
T O (n) | Set of outgoing links of node n |
T I (n) | Set of incoming links of node n |
Γ | Set of all pairs of source and destination nodes in the network |
(s,d) | Pair of source node s and destination node d of an arbitrary unicast session |
c l | Normalized capacity of link l |
p l | Probability of packet loss of link l |
| Number of the original layers of data transmitted by (s,d) |
|
layer of (s,d) |
| Transmission rate of layer of (s,d) |
| Set of layer indices of (s,d), where |
| Normalized transmission rate |
M (s,d) | Number of sublayers of (s,d), where |
M | Maximum number of sublayers that a source send to a destination in a network |
| The i th sublayer of (s,d) |
I M | Set of sublayer indices, where I M ={0,1,2,…,M−1} |
| Probability of a successful packet transmission for L i of (s,d) called the reliability |
| 0 to 1 variable that indicates whether or not link l is used to transmit a packet of L i for (s,d) |
| Set of links used to transmit packets of sublayer L i from source s to destination d |
| 0 to 1 variable that indicates whether or not packets of sublayer L i are transmitted from source s to destination d |
| Information value of used to prioritize data sublayers |
| QoS requirement of sublayer |
J | Set of indices for all independent sets |
Z j | Set of parameters indicating the links that can be activated at the same time according to the j th independent set |
| Variable that indicates whether or not link l can be activated in the j th independent set |
a j | Activation time fraction of the j th independent set in each time slot |
γ | Tuning parameter of the alternative objective function, where 0<γ<1 |