LPnetlib/lp_stocfor2
Netlib LP problem stocfor2: minimize c'*x, where Ax=b, lo<=x<=hi
Name |
lp_stocfor2 |
Group |
LPnetlib |
Matrix ID |
696 |
Num Rows
|
2,157 |
Num Cols
|
3,045 |
Nonzeros
|
9,357 |
Pattern Entries
|
9,357 |
Kind
|
Linear Programming Problem |
Symmetric
|
No |
Date
|
1988 |
Author
|
G. Gassmann |
Editor
|
D. Gay |
Structural Rank |
2,157 |
Structural Rank Full |
true |
Num Dmperm Blocks
|
17 |
Strongly Connect Components
|
1 |
Num Explicit Zeros
|
0 |
Pattern Symmetry
|
0% |
Numeric Symmetry
|
0% |
Cholesky Candidate
|
no |
Positive Definite
|
no |
Type
|
real |
SVD Statistics |
Matrix Norm |
1.263719e+03 |
Minimum Singular Value |
4.448968e-02 |
Condition Number |
2.840476e+04
|
Rank |
2,157 |
sprank(A)-rank(A) |
0 |
Null Space Dimension |
0 |
Full Numerical Rank? |
yes |
Download Singular Values |
MATLAB
|
Download |
MATLAB
Rutherford Boeing
Matrix Market
|
Notes |
A Netlib LP problem, in lp/data. For more information
send email to netlib@ornl.gov with the message:
send index from lp
send readme from lp/data
The following are relevant excerpts from lp/data/readme (by David M. Gay):
The column and nonzero counts in the PROBLEM SUMMARY TABLE below exclude
slack and surplus columns and the right-hand side vector, but include
the cost row. We have omitted other free rows and all but the first
right-hand side vector, as noted below. The byte count is for the
MPS compressed file; it includes a newline character at the end of each
line. These files start with a blank initial line intended to prevent
mail programs from discarding any of the data. The BR column indicates
whether a problem has bounds or ranges: B stands for "has bounds", R
for "has ranges".
The optimal value is from MINOS version 5.3 (of Sept. 1988)
running on a VAX with default options.
PROBLEM SUMMARY TABLE
Name Rows Cols Nonzeros Bytes BR Optimal Value
STOCFOR2 2158 2031 9492 79845 -3.9024408538E+04
STOCFOR1,2,3 are stochastic forestry problems from Gus Gassmann. To
quote Gus, "All of them are seven-period descriptions of a forestry
problem with a random occurrence of forest fires, and the size varies
according to the number of realizations you use in each period."
STOCFOR1 "is the deterministic version, STOCFOR2 has 2 realizations
each in periods 2 to 7, and the monster STOCFOR3 has 4,4,4,2,2, and 2
realizations, respectively." The compressed form of STOCFOR3 would be
652846 bytes long, so requesting STOCFOR3 will instead get you a bundle
of about 174 kilobytes that includes source for Gus's program, the
data files for generating STOCFOR3 and a summary of "A Standard
Input Format for Multistage Stochastic Linear Programs" by J.R. Birge,
M.A.H. Dempster, H.I. Gassmann, E.A. Gunn, A.J. King, and S.W. Wallace
[COAL Newsletter No. 17 (Dec. 1987), pp. 1-19]. Data files are also
included for generating versions of STOCFOR1,2 that have more decimal
places than the versions in lp/data.
Added to Netlib on 25 June 1988
|