Matrix: LPnetlib/lp_stocfor1

Description: Netlib LP problem stocfor1: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lp_stocfor1 graph
(bipartite graph drawing)

LPnetlib/lp_stocfor1 dmperm of LPnetlib/lp_stocfor1

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  • download as a MATLAB mat-file, file size: 4 KB. Use UFget(695) or UFget('LPnetlib/lp_stocfor1') in MATLAB.
  • download in Matrix Market format, file size: 4 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    Matrix properties
    number of rows117
    number of columns165
    structural full rank?yes
    structural rank117
    # of blocks from dmperm12
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorG. Gassmann
    editorD. Gay
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 117-by-1
    cfull 165-by-1
    lofull 165-by-1
    hifull 165-by-1
    z0full 1-by-1


    A Netlib LP problem, in lp/data.  For more information                    
    send email to 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         
    STOCFOR1    118    111      474       4247       -4.1131976219E+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                                          

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,541
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD979

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    LPnetlib/lp_stocfor1 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.