There is a very interesting article on this subject here: http://www.sciencenews.org/articles/20030510/mathtrek.asp.

The article makes a few interesting points. One is that the US coin system would become more efficient (in number of coins needed to provide transaction change) if an 18 cent piece were introduced to replace the dime. Keep the dime, and introduce a 32 cent coin for even greater transaction efficiency. ...though this is going to be harder for your high-school student clerks to add in their heads.

It also mentions that the "greedy algorithm" (starting from the largest denomination and working downward) provides the most efficient (in number of coins used) solution for US coin denominations, but isn't guaranteed to do so given the denominations of other countries.


Dave


In reply to Re: OT: making change by davido
in thread pathsearch/backtracking in Perl - how to solve a problem apparently requiring it? (comparison of Perl with Standard ML) by metaperl

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":



  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.