Group LPnetlib

Group Description
NETLIB Linear Programming problems, www.netlib.org.

matrices/LPnetlib/README.  Tim Davis, May 15, 1997. (davis :at the domain:
cise.ufl.edu)

The files in this directory are a translation of the linear programming
problems in Netlib.  You can obtain more information about the Netlib LP
problems by sending email to netlib :at the domain:
ornl.gov with the message
"send index from lp".


++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
NOTICE!  The Netlib LP problems, in MPS format, should be considered the
"canonical" problems.  If you find any problems with different optimal
objectives than what is reported in Netlib, then please let me know.
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

The Netlib LP problems are in MPS or compressed MPS format.  Any compressed
MPS files were uncompressed using emps.c in the Netlib lp/data directory.
The MPS files were then converted to the KAR format using the mpsrd program
by M.G.C. Resende and G. Veiga.  The mpsrd program does not process RANGES,
so five problems (boeing1, boeing2, forplan, nesm, and seba) do not appear
here.  The KAR format is written out by mpsrd as follows:

c     name   - problem name (same as mps name card)
      write(out,'(a8)') name
c     m      - number or rows (input)
c     n      - number of columns (input)
      write(out,*) m,n
c     ia     - pointers to the begining of storage of column
      write(out,*) (ia(i),i=1,n+1)
c     ja     - row indices for each non zero entry (input)
      write(out,*) (ja(i),i=1,ia(n+1)-1)
c     a      - non zero entries (input)
      write(out,*) (a(i),i=1,ia(n+1)-1)
c     b      - right hand side (input)
      write(out,*) (b(i),i=1,m)
c     c      - objective vector (minimize)
      write(out,*) (c(i),i=1,n)
c     z0     - initial fixed value for objective
      write(out,*) z0
c     lobnd  - lower bounds on variables
      write(out,*) (lobnd(i),i=1,n)
c     upbnd  - upper bounds on variables
      write(out,*) (upbnd(i),i=1,n)

Mpsrd converts the MPS problem into a single form:

	minimize c'*x, subject to Ax=b and l<=x<=u.
	(and given an initial value of the objective, z0).

Next, the KAR formatted version of the LP problem was converted into
two formats by the readkar.f program, written by Tim Davis.  It generates
a single Matlab script, such as lp_afiro.m for the AFIRO problem.
For infeasible (lp/infeas) problems, the prefix is lpi_ (lpi_galenet.m for
the problem GALENET, for example).  This prefix was chosen so that you
are sure to notice that the problem is infeasible, and also because there
are two versions of the same problem in Netlib (GREENBEA), one feasible
and the other not.



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The *.clu files contain the c, l, and u vectors,
and the scalar z0, for the LP problems held in
RRA format in the LPnetlib directory.  The dense vectors
appear in order: c, l, u, and then z0.  One entry is held
on each line. 

The RRA files contain A and b, in Harwell/Boeing format.

The LP problems are all of the form

	minimize c'*x, subject to Ax=b and l<=x<=u
	and where z0 is the initial value of the
	objective.
Displaying collection matrices 121 - 138 of 138 in total
Id Name Group Rows Cols Nonzeros Kind Date Download File
614 lp_czprob LPnetlib 929 3,562 10,708 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
724 lpi_mondou2 LPnetlib 312 604 1,208 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
723 lpi_klein3 LPnetlib 994 1,082 13,101 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
665 lp_sc205 LPnetlib 205 317 665 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
722 lpi_klein2 LPnetlib 477 531 5,062 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
608 lp_capri LPnetlib 271 482 1,896 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
607 lp_brandy LPnetlib 220 303 2,202 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
606 lp_bore3d LPnetlib 233 334 1,448 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
685 lp_ship04s LPnetlib 402 1,506 4,400 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
681 lp_share1b LPnetlib 117 253 1,179 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
682 lp_share2b LPnetlib 96 162 777 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
602 lp_beaconfd LPnetlib 173 295 3,408 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
684 lp_ship04l LPnetlib 402 2,166 6,380 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
686 lp_ship08l LPnetlib 778 4,363 12,882 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
687 lp_ship08s LPnetlib 778 2,467 7,194 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
688 lp_ship12l LPnetlib 1,151 5,533 16,276 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
689 lp_ship12s LPnetlib 1,151 2,869 8,284 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market
690 lp_sierra LPnetlib 1,227 2,735 8,001 Linear Programming Problem MATLAB Rutherford Boeing Matrix Market