Bin Packing Problem - Formal Statement

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 bed is now as public as the dinner table and governed by the same rules of formal confrontation.”
    —Angela Carter (1940–1992)

    “He has the common feeling of his profession. He enjoys a statement twice as much if it appears in fine print, and anything that turns up in a footnote ... takes on the character of divine revelation.”
    —Margaret Halsey (b. 1910)