good chemistry is complicated,and a little bit messy -LW PerlMonks

comment on

 Need Help??
I'd say that the problem is a bit underspecified. Two trivial solution spring into mind, both more or less fitting the specification.
• Put all N complaints in one clump, and make one workorder.
• Make N clumps, putting one complaint in each clump, then make a workorder for each clump.
Obviously, neither extreme is what you want, but what do you want? Are there any limits on the number of clumps, the number of complaints per clumb, the maximum distance between any pair of complaints per clumb? Do you have an expressions in terms of complaints, clumbs, distances that you want to minimize?

Even if you say something like that you want sqrt(N) of clumps, there will be solutions that you probably do not wish - you could make a scanline parallel to the Y-axis and make a sweep. Each time your scanline hits a complaint, you increment a counter. If the counter hits k * sqrt(N), the last sqrt(N) encountered complaints are put together into a clump.

The hardest part is to come up with the specifictation: what do you want to minimize/maximize/minmax/maxmin? That will determine whether this problem is trivial to solve, or very hard. I've already shown trivial solutions, but it isn't hard to come up with specification that will quickly reduce problems like the travelling salesman, or 0-1 knapsack to an instance of the described problem.

Abigail

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

• Are you posting in the right place? Check out Where do I post X? to know for sure.
• Posts may use any of the Perl Monks Approved HTML tags. Currently these include the following:
<code> <a> <b> <big> <blockquote> <br /> <dd> <dl> <dt> <em> <font> <h1> <h2> <h3> <h4> <h5> <h6> <hr /> <i> <li> <nbsp> <ol> <p> <small> <strike> <strong> <sub> <sup> <table> <td> <th> <tr> <tt> <u> <ul>
• Snippets of code should be wrapped in <code> tags not <pre> tags. In fact, <pre> tags should generally be avoided. If they must be used, extreme care should be taken to ensure that their contents do not have long lines (<70 chars), in order to prevent horizontal scrolling (and possible janitor intervention).
• Want more info? How to link or How to display code and escape characters are good places to start.

Create A New User
Domain Nodelet?
Chatterbox?
and the web crawler heard nothing...

How do I use this? | Other CB clients
Other Users?
Others browsing the Monastery: (5)
As of 2022-12-05 11:59 GMT
Sections?
Information?
Find Nodes?
Leftovers?
Voting Booth?

No recent polls found

Notices?