Extend the cpl model to the case of demand varying over the

Question

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: |V₁| = 3, |V₂| = 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.