https://cis.temple.edu/~wu/research/publications/Publication_files/ICDE2024_Xu.pdf
Similar to Lemma 1, we can also prove that the mapping satisfies the assumptions (H1-H5) in [37]. Next, given this contraction mapping, there exists a unique fixed-point based on the fixed-point theorem, i.e., the fixed point can be found by initializing the iterations with an arbitrary point.
https://cis.temple.edu/~apal/ipic_food.pdf
j pt‘ ijd t‘ ij 8‘2f2;:::;Tg;8t X t Lt‘:Vt C 8‘2f2;:::;Tg (8) where Vtis the volume of the container type t. Constraint(8) simply assumes that multiple containers of different sizes always fit within a truck as far as their cumulative volume is less than the truck’s capacity. This is an over-estimation of the packing ability of the ...