Symbol | Definition |
---|---|
Indices and sets | |
\(\,i \in {\mathcal {I}}\) | Node |
\(\,k \in {\mathcal {K}}\) | Message |
\(\,s \in {\mathcal {S}}\) | Scenario |
Parameters | |
\(\,a^{s}_{ij}\) | The directed arc from node i to node j |
\(\,b_{ki}\) | The information preference of node i with respect to message k |
\(\,c_{ki}\) | The pre-activation, that node i has known or has not known the message k before the seed selection |
\(\,d_{ki}\) | The node repost decision, that node i will repost message k in the network |
\(\,w_k\) | The influence weight of message k |
Decision variable | |
\(\,x_{ki}\) | Binary variable, seed selection, whether the node i is selected as the seed node of message k at time t |
\(\,y^{s}_{ki}\) | Binary variable, node activation, whether the node i is activated by message k at time t and scenario s |