Scippy

    SCIP

    Solving Constraint Integer Programs

    Overview

    What is SCIP?

    SCIP is a framework to solve constraint integer programs (CIPs) and mixed-integer nonlinear programs. In particular,

    • SCIP incorporates a mixed-integer programming (MIP) solver as well as
    • an LP based mixed-integer nonlinear programming (MINLP) solver, and
    • is a framework for branch-cut-and-price.

    Since version 10, SCIP can optionally be configured to solve mixed-integer linear programs in a numerically exact solving mode and produce certificates that can be independently verified, see How to use the numerically exact solving mode for details.

    See the web site of SCIP for more information about licensing and how to download SCIP.

    If you are new to SCIP and don't know where to start you should have a look at the first steps walkthrough .

    Structure of this manual

    This manual gives an accessible introduction to the functionality of the SCIP code in the following chapters

    Setup and news

    Tutorials and guides

    Examples and applications

    References

    Quickstart

    Let's consider the following minimal example in LP format. A 4-variable problem with a single, general integer variable and three linear constraints

    Maximize
     obj: x1 + 2 x2 + 3 x3 + x4
    Subject To
     c1: - x1 + x2 + x3 + 10 x4 <= 20
     c2: x1 - 3 x2 + x3 <= 30
     c3: x2 - 3.5 x4 = 0
    Bounds
     0 <= x1 <= 40
     2 <= x4 <= 3
    General
     x4
    End

    Saving this file as "simple.lp" allows to read it into SCIP and solve it by calling the scip binary with the -f flag to solve the problem from the provided file and exit.

    scip -f simple.lp

    reads and optimizes this model in no time:

    SCIP version 10.0.0 [precision: 8 byte] [memory: block] [mode: optimized] [LP solver: SoPlex 8.0.0] [GitHash: 0c80fdd8e9-dirty]
    Copyright (c) 2002-2025 Zuse Institute Berlin (ZIB)
    
    External libraries: 
      Readline 8.2         GNU library for command line editing (gnu.org/s/readline)
      SoPlex 8.0.0         Linear programming solver developed at Zuse Institute Berlin (soplex.zib.de) [GitHash: 2207cfb2]
      CppAD 20180000.0     Algorithmic Differentiation of C++ algorithms developed by B. Bell (github.com/coin-or/CppAD)
      ZLIB 1.2.13          General purpose compression library by J. Gailly and M. Adler (zlib.net)
      TinyCThread 1.2      small portable implementation of the C11 threads API (tinycthread.github.io)
      GMP 6.2.1            GNU Multiple Precision Arithmetic Library developed by T. Granlund (gmplib.org)
      ZIMPL 3.7.0          Zuse Institute Mathematical Programming Language developed by T. Koch (zimpl.zib.de)
      AMPL/MP 4.0.3        AMPL .nl file reader library (github.com/ampl/mp)
      PaPILO 3.0.0         parallel presolve for integer and linear optimization (github.com/scipopt/papilo)
      Nauty 2.8.8          Computing Graph Automorphism Groups by Brendan D. McKay (users.cecs.anu.edu.au/~bdm/nauty)
      sassy 2.0            Symmetry preprocessor by Markus Anders (github.com/markusa4/sassy)
      Ipopt 3.14.18        Interior Point Optimizer developed by A. Waechter et.al. (github.com/coin-or/Ipopt)
    
    user parameter file <scip.set> not found - using default parameters
    
    
    read problem <doc/inc/simpleinstance/simple.lp>
    ============
    
    original problem has 4 variables (0 bin, 1 int, 3 cont) and 3 constraints
    
    presolving:
    (round 1, fast)       2 del vars, 1 del conss, 0 add conss, 4 chg bounds, 0 chg sides, 0 chg coeffs, 0 upgd conss, 0 impls, 0 clqs, 0 implints
    (round 2, fast)       2 del vars, 1 del conss, 0 add conss, 6 chg bounds, 0 chg sides, 0 chg coeffs, 0 upgd conss, 0 impls, 0 clqs, 0 implints
    (round 3, fast)       2 del vars, 1 del conss, 0 add conss, 7 chg bounds, 0 chg sides, 0 chg coeffs, 0 upgd conss, 0 impls, 0 clqs, 0 implints
       (0.0s) running MILP presolver
       (0.0s) MILP presolver found nothing
       (0.0s) probing cycle finished: starting next cycle
       (0.0s) symmetry computation started: requiring (bin +, int +, cont +), (fixed: bin -, int -, cont -)
       (0.0s) no symmetry present (symcode time: 0.00)
    presolving (4 rounds: 4 fast, 1 medium, 1 exhaustive):
     2 deleted vars, 1 deleted constraints, 0 added constraints, 7 tightened bounds, 0 added holes, 0 changed sides, 0 changed coefficients
     2 implications, 0 cliques, 0 implied integral variables (0 bin, 0 int, 0 cont)
    presolved problem has 3 variables (1 bin, 0 int, 2 cont) and 2 constraints
          2 constraints of type <linear>
    Presolving Time: 0.00
    
     time | node  | left  |LP iter|LP it/n|mem/heur|mdpt |vars |cons |rows |cuts |sepa|confs|strbr|  dualbound   | primalbound  |  gap   | compl. 
    t 0.0s|     1 |     0 |     0 |     - | trivial|   0 |   3 |   2 |   0 |   0 |  0 |   0 |   0 | 1.630000e+02 | 3.400000e+01 | 379.41%| unknown
    t 0.0s|     1 |     0 |     0 |     - | trivial|   0 |   3 |   2 |   0 |   0 |  0 |   0 |   0 | 1.630000e+02 | 5.300000e+01 | 207.55%| unknown
    p 0.0s|     1 |     0 |     0 |     - |   locks|   0 |   3 |   2 |   2 |   0 |  0 |   0 |   0 | 1.630000e+02 | 1.225000e+02 |  33.06%| unknown
      0.0s|     1 |     0 |     2 |     - |  1315k |   0 |   3 |   2 |   2 |   0 |  0 |   0 |   0 | 1.252083e+02 | 1.225000e+02 |   2.21%| unknown
      0.0s|     1 |     0 |     2 |     - |  1315k |   0 |   3 |   2 |   2 |   0 |  0 |   0 |   0 | 1.252083e+02 | 1.225000e+02 |   2.21%| unknown
      0.0s|     1 |     0 |     3 |     - |  1356k |   0 |   3 |   2 |   3 |   1 |  1 |   0 |   0 | 1.225000e+02 | 1.225000e+02 |   0.00%| unknown
      0.0s|     1 |     0 |     3 |     - |  1356k |   0 |   3 |   2 |   3 |   1 |  1 |   0 |   0 | 1.225000e+02 | 1.225000e+02 |   0.00%| unknown
    
    SCIP Status        : problem is solved [optimal solution found]
    Solving Time (sec) : 0.00
    Solving Nodes      : 1
    Primal Bound       : +1.22500000000000e+02 (3 solutions)
    Dual Bound         : +1.22500000000000e+02
    Gap                : 0.00 %
    
    
    
    Version
    10.0.0