Formal Statement
Given a bin size and a list of items with sizes to pack, find an integer and a -partition of such that for all . A solution is optimal if it has minimal . The -value for an optimal solution is denoted OPT below. A possible Integer Linear Programming formulation of the problem is:
| minimize | ||
| subject to | ||
Read more about this topic: Bin Packing Problem
Famous quotes containing the words formal and/or statement:
“That anger can be expressed through words and non-destructive activities; that promises are intended to be kept; that cleanliness and good eating habits are aspects of self-esteem; that compassion is an attribute to be prized—all these lessons are ones children can learn far more readily through the living example of their parents than they ever can through formal instruction.”
—Fred Rogers (20th century)
“Truth is that concordance of an abstract statement with the ideal limit towards which endless investigation would tend to bring scientific belief, which concordance the abstract statement may possess by virtue of the confession of its inaccuracy and one-sidedness, and this confession is an essential ingredient of truth.”
—Charles Sanders Peirce (1839–1914)