Developing a Collaborative Planning Framework for Sustainable Transportation

Procedure 5

Approximation for the Shapley Value.

For  𝑖=1,…,𝑁

Let 𝑁_𝑖 be the set of the customers including the nearest 5 customers and customer 𝑖

  Compute 𝜃_𝑖=∑_{𝑆⊆𝑁𝑖⧵𝑖}|𝑆|!|𝑁_𝑖⧵(𝑆∪𝑖)|!|𝑁_𝑖𝑚|!^𝑖(𝑆)

  Compute 𝜎_𝑖=∑_{𝑆⊆𝑁𝑖⧵𝑖}|𝑆|!|𝑁_𝑖⧵(𝑆∪𝑖)|!|𝑁_𝑖𝑙|!^𝑖(𝑆)

End For