Linear x y variable

LinearXYVariable

Bases: Variable

Linearization variable \(X_{ijkm}^z\) that reproduces the cubic term.

\[X_{ijkm}^z \;\widehat{=}\; y_{ij}^z \cdot x_{ik} \cdot x_{jm}\]

\[X_{ijkm}^z \in \{0,1\} \quad \forall i,j,k,m \in V, z \in M_{ij}\]

Used in PS-HLP and PPC-HLP. The four node indices represent: origin \(i\), destination \(j\), first hub \(k\), second hub \(m\). \(z\) is the client index on route \((i,j)\).

Related: - LinearizationConstraint - ClientDecisionVariable