05-15-2014
Moderator's Comments:
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This is a very interesting problem, but:
1. it has nothing to do with UNIX or UNIX tools. It is just an algorithmic challenge. This wouldn't be so bad on itself, but see below.
2. You claimed that this is not homework and you are doing it just out of interest. Still, in this case you would have at least undertaken some thinking on how to solve it and presented them here along with the problem statement. What is the point in trying to solve puzzles if your only genuine contribution is to ask other people to solve it for you?
3. If this would have at least a remote real-world impact you would have limited the tools - languages, platforms, ... in some way. that you didn't reinforces my point that is problem was not posed upon you by yourself but by outside request - homework, take-home question in a job interview or the like - to be precise. It would be understandable for a professor/possibly hiring company/... to test your algorithmic skills by not limiting to any platform or language environment, but it is highly unlikely for you not to have any personal preference at all. For what is worth, you would have to understand the solution once it is presented to you and this is possible only with a language at least remotely known by you. What would you have done would anyone have written and posted a program in FORTH, APL2, ALGOL68 or another outlandish language, hm?
As long as you can't disprove my suspicion i close this thread for most probably being homework. Open a thread in the homework forum with the correct identification necessary there.
All the others: please refrain from providing solutions to dubious (albeit concededly interesting) problems. We have a "homework rule" in place for a reason and we do not want to encourage anybody breaking it.
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bakunin
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CLP(1) General Commands Manual CLP(1)
NAME
clp - linear program solver
SYNOPSIS
clp filename [ options ] solutionfile
DESCRIPTION
This manual page documents briefly the clp command.
clp -- interface to the coin linear programming solver. clp solves the following linear optimization program:
minimize c^t x
such that: row_lb <= Ax <= row_ub
column_lb <= x <= column_ub
OPTIONS
When no options are given clp enters the interactive command line mode. Otherwise the program enters a batch mode, for which a summary of
options is included below. For a complete description, see /usr/share/doc/coinor-libclp-doc.
-help Show summary of options.
-primalsimplex
solve the problem using the primal simplex method
-dualsimplex
solve the problem using the dual simplex method
-maximize
maximize the problem
SEE ALSO
glpsol(1),dsdp5(1)
This program is fully documented in the accompanying html documentation which can be found in /usr/share/doc/coinor-libclp-doc if the
coinor-libclp-doc package is installed.
AUTHOR
clp was written by John J. Forrest <jjforre@us.ibm.com> et.al.
This manual page was written by Soeren Sonnenburg <sonne@debian.org>, for the Debian project (but may be used by others).
May 7, 2008 CLP(1)