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:

    “Good gentlemen, look fresh and merrily.
    Let not our looks put on our purposes,
    But bear it as our Roman actors do,
    With untired spirits and formal constancy.”
    —William Shakespeare (1564–1616)

    “After the first powerful plain manifesto
    The black statement of pistons, without more fuss
    But gliding like a queen, she leaves the station.”
    —Stephen Spender (1909–1995)