Developing a Collaborative Planning Framework for Sustainable Transportation

Procedure 4

Allocation method based on duality.

Solve 𝑃𝑆_LP to obtain 𝑦^∗_𝑖∀𝑖

Solve 𝑃𝑆_LP to obtain 𝑦^∗_𝑖∀𝑖

For  𝑖=1,…,𝑁

  Compute 𝜃_𝑖=𝑦^∗_𝑖∑^𝑁_𝑗=1𝑦^∗_𝑖𝑧^∗_𝛼

  Compute 𝜎_𝑖=𝑦^∗_𝑖∑^𝑁_𝑗=1𝑦^∗_𝑖𝑧^∗_𝛽

End For