Article:

N.Christofides and C.Whitlock. An algorithm for two-dimensional cutting problems. Operations Research, 25:30-44, 1977

Instances defined:

CGCUT1-CGCUT3

Instances used:

-

Results:

In this paper Christofides and Whitlock introduce 7 instances of the two-dimensional guillotine cutting problem. Sadly only three of these problems have been published.

These instances were solved to optimality by a tree-search algorithm that has been implemented in FORTRAN IV and run on a CDC 7600 using the FTN compiler.

Problem Container Size Box Types # Boxes Value Time
CGCUT1
( 15, 10)
7
16
244
2.47 s
CGCUT2
( 40, 70)
10
23
2892
24.07 s
CGCUT3
( 40, 70)
20
62
1860
1.61 s