gbp4d {gbp}

gbp4d

Description

generalized bin packing problem in 4 dimension, a.k.a bin packing problem with weight limit.

Usage

gbp4d

Format

An object of class C++Class of length 1.

Details

gbp4d init a profit vector p, a length l, a depth d, a height h, and a weight w, along with associate constraints ml, md, mh and mw. gbp4d should fit it (l, d, h, w) into bn (ml, md, mh, mw) with w on weight limit constraint and l, d, h on geometry intepretation. gbp4d solver would solve

maximize sum_j=1^n p_j k_j

subject to sum_j=1^n w_j k_j leq mw and

fit (l_j, d_j, h_j) at coordinate (x_j, y_j, z_j) such that no overlap in ml x md x mh cuboid, j = 1, ......, n

and instantiate a gbp4d object with a x-axis coordinate vector x, a y-axis coordinate vector y, a z-axis coordinate vector z, a selection vector k, and an objective o.

a gbp4d class instance has 6 fields:

- p: profit of it fit into bn <vector>

created via cluster w via gbp1d, cluster max(l, d, h) and area via gbp4d_solver_dpp_main_create_p()

- it: it position and scale <matrix>

- x, y, z, w it position and w in the bin <numeric> (w hold in bn when fit it in bn)

- l, d, h, w it scale along x, y, z and w <numeric> (w of it itself)

- bn: bn scale <vector>

- l, d, h, w bn scale along x, y, z and w <numeric>

- k: selection indicator 0, 1 <vector>

- o: objective achivement volumn fit in over volumn overall <numeric>

- ok: a quick indicator of all it fit into bn? <bool>

Note

p is a proxy of ranking on cuboid fit difficulty, often a func of max(l, d, h), surface, volume and solver would often maximize sum_j=1^n v_j k_j instead of sum_j=1^n p_j k_j

See Also

Other gbp4d: gbp4d_checkr, gbp4d_solver_dpp