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:
“The conviction that the best way to prepare children for a harsh, rapidly changing world is to introduce formal instruction at an early age is wrong. There is simply no evidence to support it, and considerable evidence against it. Starting children early academically has not worked in the past and is not working now.”
—David Elkind (20th century)
“The most distinct and beautiful statement of any truth must take at last the mathematical form.”
—Henry David Thoreau (1817–1862)