1. Extend the CPL model to the case of demand varying over the planning horizon. Assume that, once opened, a facility cannot be closed.
2. Consider the following CPL formulation: |V_{1}| = 3, |V_{2}| = 7, f = [44, 46, 21]^{T}, q = [220, 100, 240]^{T }and d = [72, 80, 68, 45, 58, 68, 60]^{T} and.
the following Lagrangian multipliers:
at h^{th} iteration (h = 2) of the subgradient algorithm.
- Determine the optimal solution of the corresponding Lagrangian relaxed problem;
- formulate the corresponding demand allocation problem;
- update the Lagrangian multipliers.