%* glpk10.tex *% \chapter{Stand-alone LP/MIP Solver} \label{chaglpsol} The GLPK package includes the program \verb|glpsol|, which is a stand-alone LP/MIP solver. This program can be invoked from the command line to read LP/MIP problem data in any format supported by GLPK, solve the problem, and write its solution to an output text file. \para{Usage} \verb|glpsol| [{\it options\dots}] [{\it filename}] \para{General options} \begin{verbatim} --mps read LP/MIP problem in fixed MPS format --freemps read LP/MIP problem in free MPS format (default) --lp read LP/MIP problem in CPLEX LP format --glp read LP/MIP problem in GLPK format --math read LP/MIP model written in GNU MathProg modeling language -m filename, --model filename read model section and optional data section from filename (same as --math) -d filename, --data filename read data section from filename (for --math only); if model file also has data section, it is ignored -y filename, --display filename send display output to filename (for --math only); by default the output is sent to terminal --seed value initialize pseudo-random number generator used in MathProg model with specified seed (any integer); if seed value is ?, some random seed will be used --mincost read min-cost flow problem in DIMACS format --maxflow read maximum flow problem in DIMACS format --cnf read CNF-SAT problem in DIMACS format --simplex use simplex method (default) --interior use interior point method (LP only) -r filename, --read filename read solution from filename rather to find it with the solver --min minimization --max maximization --scale scale problem (default) --noscale do not scale problem -o filename, --output filename write solution to filename in printable format -w filename, --write filename write solution to filename in plain text format --ranges filename write sensitivity analysis report to filename in printable format (simplex only) --tmlim nnn limit solution time to nnn seconds --memlim nnn limit available memory to nnn megabytes --check do not solve problem, check input data only --name probname change problem name to probname --wmps filename write problem to filename in fixed MPS format --wfreemps filename write problem to filename in free MPS format --wlp filename write problem to filename in CPLEX LP format --wglp filename write problem to filename in GLPK format --wcnf filename write problem to filename in DIMACS CNF-SAT format --log filename write copy of terminal output to filename -h, --help display this help information and exit -v, --version display program version and exit \end{verbatim} \para{LP basis factorization options} \begin{verbatim} --luf LU + Forrest-Tomlin update (faster, less stable; default) --cbg LU + Schur complement + Bartels-Golub update (slower, more stable) --cgr LU + Schur complement + Givens rotation update (slower, more stable) \end{verbatim} \para{Options specific to the simplex solver} \begin{verbatim} --primal use primal simplex (default) --dual use dual simplex --std use standard initial basis of all slacks --adv use advanced initial basis (default) --bib use Bixby's initial basis --ini filename use as initial basis previously saved with -w (disables LP presolver) --steep use steepest edge technique (default) --nosteep use standard "textbook" pricing --relax use Harris' two-pass ratio test (default) --norelax use standard "textbook" ratio test --presol use presolver (default; assumes --scale and --adv) --nopresol do not use presolver --exact use simplex method based on exact arithmetic --xcheck check final basis using exact arithmetic \end{verbatim} \para{Options specific to the interior-point solver} \begin{verbatim} --nord use natural (original) ordering --qmd use quotient minimum degree ordering --amd use approximate minimum degree ordering (default) --symamd use approximate minimum degree ordering \end{verbatim} \para{Options specific to the MIP solver} \begin{verbatim} --nomip consider all integer variables as continuous (allows solving MIP as pure LP) --first branch on first integer variable --last branch on last integer variable --mostf branch on most fractional variable --drtom branch using heuristic by Driebeck and Tomlin (default) --pcost branch using hybrid pseudocost heuristic (may be useful for hard instances) --dfs backtrack using depth first search --bfs backtrack using breadth first search --bestp backtrack using the best projection heuristic --bestb backtrack using node with best local bound (default) --intopt use MIP presolver (default) --nointopt do not use MIP presolver --binarize replace general integer variables by binary ones (assumes --intopt) --fpump apply feasibility pump heuristic --proxy [nnn] apply proximity search heuristic (nnn is time limit in seconds; default is 60) --gomory generate Gomory's mixed integer cuts --mir generate MIR (mixed integer rounding) cuts --cover generate mixed cover cuts --clique generate clique cuts --cuts generate all cuts above --mipgap tol set relative mip gap tolerance to tol --minisat translate integer feasibility problem to CNF-SAT and solve it with MiniSat solver \end{verbatim} \newpage \begin{verbatim} --objbnd bound add inequality obj <= bound (minimization) or obj >= bound (maximization) to integer feasibility problem (assumes --minisat) \end{verbatim} For description of the MPS format see Appendix \ref{champs}, page \pageref{champs}. For description of the CPLEX LP format see Appendix \ref{chacplex}, page \pageref{chacplex}. For description of the modeling language see the document ``Modeling Language GNU MathProg: Language Reference'' included in the GLPK distribution. For description of the DIMACS min-cost flow problem format and DIMACS maximum flow problem format see the document ``GLPK: Graph and Network Routines'' included in the GLPK distribution. %* eof *%