Mhand Hifi. The DH/KD Algorithm: A Hybrid Approach for Unconstrained Two-Dimensional Cutting Problems. European Journal of Operational Research, 97:41-52, 1997
CGCUT1-CGCUT3
GCUT13
Herz
M1-M5
2-staged guillotine cutting, executed on Data General AV8000 (Quadri-Processor Motorola 88100), DH/KD algorithm
Problem | Container Size | Box Types | # Boxes | Optimal Value | Time |
CGCUT1 | ( 40, 70) |
7 |
16 |
249 |
0.17 s |
CGCUT2 | ( 40, 70) |
10 |
23 |
3076 |
0.51 s |
CGCUT3 | ( 40, 70) |
20 |
62 |
2240 |
0.63 s |
GCUT13 | ( 3000, 3000) |
32 |
∞ |
8997780 |
10.01 s |
H | ( 127, 98) |
5 |
∞ |
12348 |
0.06 s |
M1 | ( 100, 156) |
10 |
∞ |
15024 |
0.10 s |
M2 | ( 253, 294) |
10 |
∞ |
73176 |
0.18 s |
M3 | ( 318, 473) |
10 |
∞ |
142817 |
0.28 s |
M4 | ( 501, 556) |
10 |
∞ |
265768 |
0.35 s |
M5 | ( 750, 806) |
10 |
∞ |
577882 |
0.47 s |
U1 | ( 4500, 5000) |
10 |
∞ |
22370130 |
27.05 s |
U2 | ( 5050, 4070) |
10 |
∞ |
20168944 |
29.31 s |
U3 | ( 7350, 6579) |
20 |
∞ |
48074745 |
63.41 s |
W1 | ( 5000, 5000) |
20 |
∞ |
35728 |
21.80 s |
W2 | ( 3427, 2769) |
20 |
∞ |
161424 |
257.51 s |
W3 | ( 7500, 7381) |
40 |
∞ |
234108 |
657.43 s |