Change-making Problem - Mathematical Definition

Mathematical Definition

Given a set of integer coin values {w1, w2, ..., wn} where w1 = 1 and wj < wj+1 for 1 ≤ jn − 1, and a positive integer W, find a set of non-negative integers {x1, x2, ..., xn} which minimize

subject to

Read more about this topic:  Change-making Problem

Famous quotes containing the words mathematical and/or definition:

    The circumstances of human society are too complicated to be submitted to the rigour of mathematical calculation.
    Marquis De Custine (1790–1857)

    The man who knows governments most completely is he who troubles himself least about a definition which shall give their essence. Enjoying an intimate acquaintance with all their particularities in turn, he would naturally regard an abstract conception in which these were unified as a thing more misleading than enlightening.
    William James (1842–1910)