Table 2 The notations.
Notations | Description |
|---|---|
Sets | |
I | Set of demand points, \(i\in I\) |
J | Set of candidate ESF, \(j\in J\) |
Parameters | |
\(f_{j}\) | The fixed construction cost of opening a ESF at location j |
\(Q_{j}\) | The maximum capacity of ESF at location j |
\(D_{i}\) | The demand at demand point i |
\(\tau\) | The unit transportation cost of emergency supplies |
\(p_i\) | The unit deprivation cost of unmet demand at demand point i |
\(\alpha\) | The influence coefficient of material packaging on environment |
\(\beta\) | The influence coefficient of transport vehicle on environment |
q | The maximum capacity of the transport vehicle |
\(c_{ij}\) | The travel distance between demand point i and ESF at location j |
Decision variables | |
\(y_{j}\) | Binary variable; equals 1 if a ESF is built at location j and 0 otherwise |
\(x_{ij}\) | Continuous variable; amount of emergency supplies that travels from ESF at location j to demand point i |
\(u_{i}\) | Continuous variable; unmet demand of demand point i |
