AMPL-Gurobi Parameter Reference#
aggfill
amount of fill allowed during aggregation during Gurobi’s presolve (default: -1)
aggregate
whether to use aggregation during Gurobi presolve:
0 = no (sometimes reduces numerical errors)
1 = yes (default)
ams_eps
relative tolerance for reporting alternate MIP solutions (default = no limit)
ams_epsabs
absolute tolerance for reporting alternate MIP solutions (default = no limit)
ams_limit
Limit on number of alternate MIP solutions written, with no limit when ams_limit = 0 (default).
ams_mode
Search mode for MIP solutions when ams_stub is specified to request finding several alternative solutions:
0 = ignore ams_stub; seek just one optimal solution
1 = make some effort at finding additional solutions
2 = seek “ams_limit” best solutions (default).
ams_stub
Stub for alternative MIP solutions, written to files with names obtained by appending “1.sol”, “2.sol”, etc., to ams_stub. The number of such files written is affected by four keywords:
ams_mode specifies how much effort to expend;
ams_limit gives the maximum number of files written, with no limit when ams_limit = 0 (default);
ams_eps gives a relative tolerance on the objective values of alternative solutions; and
ams_epsabs gives an absolute tolerance on how much worse the objectives can be.
barconvtol
tolerance on the relative difference between the primal and dual objectives for stopping the barrier algorithm (default: 1e-8)
barcorrectors
Limit on the number of central corrections done in each barrier iteration (default -1 = automatic choice)
barhomogeneous
-1 = only when solving a MIP node relaxation (default)
0 = never
1 = always.
bariterlim
Limit on the number of barrier iterations (default: 1000)
barorder
Ordering used to reduce fill in sparse-matrix factorizations during the barrier algorithm:
-1 = automatic choice
0 = approximate minimum degree
1 = nested dissection
barqcptol
convergence tolerance on the relative difference between primal and dual objective values for barrier algorithms when solving problems with quadratic constraints (default: 1e-6)
basis
whether to use or return a basis:
0 = no
1 = use incoming basis (if provided)
2 = return final basis
3 = both (1 + 2 = default)
For problems with integer variables and quadratic constraints, basis = 0 is assumed quietly.
basisdebug
whether to honor basis and solnsens when an optimal solution was not found:
0 = only if a feasible solution was found (default)
1 = yes
2 = no
bestbndstop
stop once the best bound on the objective value is at least as good as this value.
bestbound
whether to return suffix .bestbound for the best known bound on the objective value:
0 = no (default)
1 = yes
bestobjstop
stop after a feasible solution with objective value at least as good as this value has been found.
bqpcuts
Whether to enable Boolean Quadric Polytope cut generation:
-1 = automatic choice (default)
0 = disallow BQP cuts
1 = enable moderate BQP cut generation
2 = enable aggressive BQP cut generation.
Values 1 and 2 override the “cuts” keyword.
branchdir
which child node to explore first when branching:
-1 = explore “down” branch first
0 = explore “most promising” branch first (default)
1 = explore “up” branch first
cliquecuts
clique cuts: overrides “cuts”; choices as for “cuts”
cloudhost
host for Gurobi Instant Cloud
cloudid
use Gurobi Instant Cloud with this “accessID”.
cloudkey
use Gurobi Instant Cloud with this “secretKey”. Both cloudid and cloudkey are required.
cloudpool
optional “machine pool” to use with Gurobi Instant Cloud.
cloudpriority
Priority of Cloud job, an integer >= -100 and <= 100. Default 0. Jobs with priority 100 run immediately – use caution when specifying this value.
concurrentmip
how many independent MIP solves to allow at once when multiple threads are available. The available threads are divided as evenly as possible among the concurrent solves. (default: 1)
concurrentwin
Whether to return the winning method after a continuous problem has been solved with concurrent optimization:
0 = do not return (default)
1 = return as problem suffix “concurrentwinmethod”.
See option “method” for a description of the returned values.
covercuts
cover cuts: overrides “cuts”; choices as for “cuts”
crossover
how to transform a barrier solution to a basic one:
-1 = automatic choice (default)
0 = none: return an interior solution
1 = push dual vars first, finish with primal simplex
2 = push dual vars first, finish with dual simplex
3 = push primal vars first, finish with primal simplex
4 = push primal vars first, finish with dual simplex
crossoverbasis
strategy for initial basis construction during crossover:
0 = favor speed (default)
1 = favor numerical stability
cutagg
maximum number of constraint aggregation passes during cut generation (-1 = default = no limit); overrides “cuts”
cutoff
If the optimal objective value is no better than cutoff, report “objective cutoff” and do not return a solution; default: -∞ for minimizing, +∞ for maximizing
cutpasses
maximum number of cutting-plane passes to do during root-cut generation (default: -1 = automatic choice)
cuts
global cut generation control, valid unless overridden by individual cut-type controls:
-1 = automatic choice (default)
0 = no cuts
1 = conservative cut generation
2 = aggressive cut generation
3 = very aggressive cut generation
degenmoves
limit on the number of degenerate simplex moves – for use when too much time is taken after solving the initial root relaxation of a MIP problem and before cut generation or root heuristics have started.
disconnected
Whether to exploit independent MIP sub-models:
-1 = automatic choice (default)
0 = no
1 = use moderate effort
2 = use aggressive effort
dualreductions
whether Gurobi’s presolve should use dual reductions, which may be useful on a well-posed problem but can prevent distinguishing whether a problem is infeasible or unbounded:
0 = no
1 = yes (default)
feasrelax
Whether to modify the problem into a feasibility relaxation problem:
0 = no (default)
1 = yes, minimizing the weighted sum of violations
2 = yes, minimizing the weighted count of violations
3 = yes, minimizing the sum of squared violations
4-6 = same objective as 1-3, but also optimize the original objective, subject to the violation objective being minimized
Weights are given by suffixes .lbpen and .ubpen on variables and .rhspen on constraints (when positive), else by keywords lbpen, ubpen, and rhspen, respectively (default values = 1). Weights ≤ 0 are treated as ∞, allowing no violation.
feasrelaxbigm
Value of “big-M” sometimes used with constraints when doing a feasibility relaxation (default: 1e6)
feastol
primal feasibility tolerance (default: 1e-6)
fixedmethod
Value of “method” to use when seeking a basis for MIP problems when “basis=2” or (the default) “basis=3” has been specified. Default: if “method” is 0 or 1 then “method” else 1.
flowcover
flowcover cuts: overrides “cuts”; choices as for “cuts”
flowpath
flowpath cuts: overrides “cuts”; choices as for “cuts”
gomory
gubcover
GUB cover cuts: overrides “cuts”; choices as for “cuts”
heurfrac
fraction of time to spend in MIP heuristics (default: 0.05)
iisfind
whether to return an IIS (irreducible infeasible set of constraints and variable bounds, via suffix .iis on constraints and variables) when the problem is infeasible:
0 = no (default)
1 = yes
When iisfind=1 and the problem is infeasible, suffixes iisforce, iisforcelb, and iisforceub can be used to influence the IIS found, either forcing an entity to be in or not in the IIS or letting the algorithm decide:
0 = algorithm decides (default)
1 = force to be excluded from the IIS
2 = force to be included in the IIS
iismethod
which method to use when finding an IIS (irreducible infeasible set of constraints, including variable bounds):
-1 = automatic choice (default)
0 = often faster than method 1
1 = can find a smaller IIS than method 0
implied
implied cuts: overrides “cuts”; choices as for “cuts”
improvegap
optimality gap below which the MIP solver switches from trying to improve the best bound to trying to find better feasible solutions (default: 0)
improvetime
execution seconds after which the MIP solver switches from trying to improve the best bound to trying to find better feasible solutions (default: ∞)
impstartnodes
number of MIP nodes after which the solution strategy will change from improving the best bound to finding better feasible solutions (default: 0)
infproofcuts
whether to generate infeasibility proof cuts:
-1 = automatic choice (default)
0 = no
1 = moderate cut generation
2 = aggressive cut generation
integrality
Setting this parameter to 1 requests the solver to work harder at finding solutions that are still (nearly) feasible when all integer variables are rounded to exact integral values:
0 = no (default)
1 = yes.
intfeastol
feasibility tolerance for integer variables (default: 1e-05)
intstart
when there are integer variables, whether to use an initial guess (if available):
0 = no
1 = yes (default)
iterlim
iteration limit (default: no limit)
kappa
Whether to return the estimated condition number (kappa) of the optimal basis (default 0): sum of
1 = report kappa in Gurobi’s result message;
2 = return kappa in the solver-defined suffix kappa on the objective and problem.
lazy
whether to honor suffix .lazy on linear constraints in problems with binary or integer variables:
0 = no (ignore .lazy)
1 = yes (default)
-1 = treat the constraint as a user cut; the constraint must be redundant with respect to the rest of the model, although it can cut off LP solutions;
1 = the constraint may still be ignored if another lazy constraint cuts off the current solution;
2 = the constraint will henceforth be enforced if it is violated by the current solution;
3 = the constraint will henceforth be enforced.:
lbpen
See feasrelax
liftprojectcuts
Wether to generate lift-and-project cuts:
-1 = automatic choice (default)
0 = no
1 = moderate cut generation
2 = aggressive cut generation.
logfile
name of file to receive log lines (default: none); implies outlev = 1.
logfreq
number of seconds between log lines (default: 5)
lpmethod
synonym for “method”
lpwarmstart
Controls how gurobi uses warm-start in LP optimization:
0 = ignore information
1 = use information to solve the original problem (default)
2 = use the (crushed) information to solve the presolved problem.
Note that if presolve is disabled, 1 prioritizes basis statuses, 2 prioritizes start vectors.
maxmipsub
maximum number of nodes for RINS heuristic to explore on MIP problems (default: 500)
maxvio
Whether to return the maximum of all (unscaled) violations to the current problem:
0 = do not return (default)
1 = return in the problem suffix “maxvio”.
memlimit
Maximum amount of memory available to Gurobi (in GB, default no limit). If the memory limit is exceeded no solution will be available.
method
Which algorithm to use for non-MIP problems or for the root node of MIP problems:
-1 automatic (default): 3 for LP, 2 for QP, 1 for MIP root node
0 = primal simplex
1 = dual simplex
2 = barrier
3 = nondeterministic concurrent (several solves in parallel)
4 = deterministic concurrent
5 = deterministic concurrent simplex.
minrelnodes
number of nodes for the Minimum Relaxation heuristic to explore at the MIP root node when a feasible solution has not been found by any other heuristic; default -1 = automatic choice.
mipfocus
MIP solution strategy:
0 = balance finding good feasible solutions and proving optimality (default)
1 = favor finding feasible solutions
2 = favor proving optimality
3 = focus on improving the best objective bound
mipgap
maximum relative MIP optimality gap (default: 1e-4)
mipgapabs
absolute MIP optimality gap (default: 1e-10)
mipsep
MIPsep cuts: overrides “cuts”; choices as for “cuts”
mipstart
whether to use initial guesses in problems with integer variables:
0 = no
1 = yes (default)
miqcpmethod
Method for solving mixed-integer quadratically constrained (MIQCP) problems:
-1 = automatic choice (default)
0 = solve continuous QCP relaxations at each node
1 = use linearized outer approximations.
mircuts
MIR cuts: overrides “cuts”; choices as for “cuts”
modkcuts
mod-k cuts: overrides “cuts”; choices as for “cuts”
multiobj
whether to do multi-objective optimization:
0 = no (default)
1 = yes
multiobjmethod
choice of optimization algorithm for lower-priority objectives:
-1 = automatic choice (default)
0 = primal simplex
1 = dual simplex
2 = ignore warm-start information; use the algorithm specified by the method keyword.
The method keyword determines the algorithm to use for the highest priority objective.
multiobjpre
how to apply Gurobi’s presolve when doing multi-objective optimization:
-1 = automatic choice (default)
0 = do not use Gurobi’s presolve
1 = conservative presolve
2 = aggressive presolve, which may degrade lower-priority objectives.
multprice_norm
-1 = automatic choice (default)
0,1,2,3 = specific choices: hard to describe, but sometimes a specific choice will perform much better than the automatic choice.
networkalg
-1 = automatic choice (default)
0 = do not use network simplex
1 = use network simplex
networkcuts
Network cuts: overrides “cuts”; choices as for “cuts”
nlpheur
0 = do not apply heuristic
1 = apply heuristic (default)
nodefiledir
directory where MIP tree nodes are written after memory for them exceeds nodefilestart (default: .)
nodefilestart
nodelim
maximum MIP nodes to explore (default: no limit)
nodemethod
algorithm used to solve relaxed MIP node problems:
-1 = automatic choice (default)
0 = primal simplex
1 = dual simplex
2 = barrier
nonconvex
How to handle non-convex quadratic objectives and constraints:
-1 = default choice (currently the same as 1)
0 = complain about nonquadratic terms
1 = complain if Gurobi’s presolve cannot discard or eliminate nonquadratic terms
2 = translate quadratic forms to bilinear form and use spatial branching.
norelheurtime
Limits the amount of time spent in the NoRel heuristic; see the description of norelheurwork for details. This parameter will introduce non determinism; use norelheurwork for deterministic results. Default 0.
norelheurwork
Limits the amount of work spent in the NoRel heuristic. This heuristics searches for high-quality feasible solutions before solving the root relaxation. The work metrix is hard to define precisely, as it depends on the machine. Default 0.
normadjust
synonym for multprice_norm
numericfocus
how much to try detecting and managing numerical issues:
0 = automatic choice (default)
1-3 = increasing focus on more stable computations
obbt
controls aggressiveness of Optimality-Based Bound Tightening:
-1 = automatic choice (default)
0 = do not use OBBT
1 = low aggressiveness
2 = moderate aggressiveness
3 = high aggressiveness
objno
objective to optimize:
0 = none
1 = first (default, if available),
2 = second (if available), etc.
objrep
0 = no
1 = yes for v >= f(x)
2 = yes for v == f(x) (default)
3 = yes in both cases
objscale
how to scale the objective:
0 = automatic choice (default)
negative >= -1 = divide by max abs. coefficient raised to this power
positive = divide by this value.
opttol
optimality tolerance on reduced costs (default: 1e-6)
outlev
whether to write Gurobi log lines (chatter) to stdout:
0 = no (default)
1 = yes (see logfreq)
param
general way to specify values of both documented and undocumented Gurobi parameters; value should be a quoted string (delimited by ‘ or “) containing a parameter name, a space, and the value to be assigned to the parameter. Can appear more than once. Cannot be used to query current parameter values.
paramfile
name of file (surrounded by ‘single’ or “double” quotes if the name contains blanks) of parameter names and values for them. Lines that start with # are ignored. Otherwise, each nonempty line should contain a name and a value, separated by a space.
partitionplace
Whether and how to use the .partition suffix on variables in the partition heuristic for MIP problems: sum of
1: when the branch-and-cut search ends
2: at nodes in the branch-and-cut search
4: after the root-cut loop
8: at the start of the root-cut loop
16: before solving the root relaxation
(default: 1+2+4+8 = 15).
.partition = -1 are always held fixed
.partition = 0 can vary in all sub-MIP models
.partition > 0 can vary only in in that sub-MIP model
perturb
magnitude of simplex perturbation (when needed; default: 2e-4)
pivtol
Markowitz pivot tolerance (default: 7.8125e-3)
poolgap
synonym for ams_eps
poolabsgap
synonym for ams_epsabs
poolsearchmode
synonym for ams_mode
poolsolutions
synonym for ams_limit
poolstub
synonym for ams_stub
predeprow
whether Gurobi’s presolve should remove linearly dependent constraint-matrix rows:
-1 = only for continuous models
0 = never
1 = for all models
predual
whether gurobi’s presolve should form the dual of a continuous model:
-1 = automatic choice (default)
0 = no
1 = yes
2 = form both primal and dual and use two threads to choose heuristically between them
premiqcpform
For mixed-integer quadratically constrained (MIQCP) problems, how Gurobi should transform quadratic constraints:
-1 = automatic choice (default)
0 = retain MIQCP form
1 = transform to second-order cone contraints
2 = transform to rotated cone constraints
-1 = automatic choice (default)
n ≥ 0: at most n passes
preqlinearize
How Gurobi’s presolve should treat quadratic problems:
-1 = automatic choice (default)
0 = do not modify the quadratic part(s)
1 = try to linearize quadratic parts, focusing on a strong LP relaxation
2 = try to linearize quadratic parts, focusing on a compact relaxation
presolve
whether to use Gurobi’s presolve:
-1 = automatic choice (default)
0 = no
1 = conservative presolve
2 = aggressive presolve
presos1bigm
Big-M for converting SOS1 constraints to binary form:
-1 = automatic choice (default)
0 = no conversion
Large values (e.g., 1e8) may cause numeric trouble
presos2bigm
Big-M for converting SOS2 constraints to binary form:
-1 = automatic choice
0 = no conversion (default)
Large values (e.g., 1e8) may cause numeric trouble
presos1enc
Encoding used for SOS1 reformulation:
-1 = automatic choice (default)
0 = multiple choice model, produces an LP relaxation that is easy to solve
1 = incremental model, reduces the amount of branching
2 = formulation whose LP relaxation is easier to solve
3 = formulation with better branching behavior, requires sum of the variables == 1.
Options 0 and 1 produce reformulations that are linear in size; options 2 and 3 use reformulation logarithmic in size. Option 2 and 3 apply only when all the variables are >=0.
presos2enc
Encoding used for SOS2 reformulation, see presos1enc.
presparsify
whether Gurobi’s presolve should use its sparsify reduction, which sometimes gives significant problem-size reductions:
-1 = automatic choice (default)
0 = no
1 = yes
pricing
pricing strategy:
-1 = automatic choice (default)
0 = partial pricing
1 = steepest edge
2 = Devex
3 = quick-start steepest edge
priorities
whether to use the variable.priority suffix with MIP problems. When several branching candidates are available, a variable with the highest .priority is chosen for the next branch. Priorities are nonnegative integers, with a default priority of 0:
0 = ignore .priority; assume priority 0 for all vars
1 = use .priority if present (default)
psdtol
maximum diagonal perturbation to correct indefiniteness in quadratic objectives (default: 1e-6)
pumppasses
number of feasibility-pump passes to do after the MIP root when no other root heuristic found a feasible solution (default: -1)
qcpdual
0 = no (default)
1 = yes
quad
whether simplex should use quad-precision:
-1 = automatic choice (default)
0 = no
1 = yes
rays
Whether to return suffix .unbdd if the objective is unbounded or suffix .dunbdd if the constraints are infeasible:
0 = neither
1 = just .unbdd
2 = just .dunbdd
3 = both (default)
relax
whether to enforce integrality:
0 = yes (default)
1 = no: treat integer and binary variables as continuous
relaxliftcuts
Whether to enable relax-and-lift cut generation:
-1 = automatic choice (default)
0 = disallow relax-and-lift cuts
1 = enable moderate relax-and-lift cut generation
2 = enable aggressive relax-and-lift cut generation.
Values 1 and 2 override the “cuts” keyword.
resultfile
name of a file of extra information written after completion of optimization. The name’s suffix determines what is written:
.sol - solution vector
.bas - simplex basis
.mst - integer variable solution vector
return_mipgap
Whether to return mipgap suffixes or include mipgap values (|objectve - best_bound|) in the solve_message: sum of
1 = return relmipgap suffix (relative to |obj|);
2 = return absmipgap suffix (absolute mipgap);
4 = suppress mipgap values in solve_message.
rhspen
See feasrelax
rins
how often to apply the RINS heuristic for MIP problems:
-1 = automatic choice (default)
0 = never
n > 0: every n-th node
rltcuts
Whether to enable generation of cuts by the Relaxation Linearization Technique (RLT):
-1 = automatic choice (default)
0 = disallow RLT cuts
1 = enable moderate RLT cut generation
2 = enable aggressive RLT cut generation.
Values 1 and 2 override the “cuts” keyword.
round
Whether to round integer variables to integral values before returning the solution, and whether to report that GUROBI returned noninteger values for integer values: sum of
1 = round nonintegral integer variables
2 = modify solve_result
4 = modify solve_message
Default = 7. Modifications that were or would be made are reported in solve_result and solve_message only if the maximum deviation from integrality exceeded round_reptol.
round_reptol
Tolerance for reporting rounding of integer variables to integer values; see “round”. Default = 1e-9.
scale
whether to scale the problem:
-1 = automatic choice (default)
0 = no
1 = yes
2 = yes, more aggressively
3 = yes, even more aggressively.
-1 = automatic choice (default)
0 = no
1 = yes, moderate sifting
2 = yes, aggressive sifting
siftmethod
algorithm to use for sifting with the dual simplex method:
-1 = automatic choice (default)
0 = primal simplex
1 = dual simplex
2 = barrier
simplex
synonym for method
softmemlimit
maximum amount of memory available to Gurobi (in GB, default no limit). The solution will be returned if more memory is needed.
solnlimit
maximum MIP solutions to find (default: 2e9)
solnsens
sos
whether to honor declared suffixes .sosno and .ref describing SOS sets:
0 = no
1 = yes (default): each distinct nonzero .sosno value designates an SOS set, of type 1 for positive .sosno values and of type 2 for negative values. The .ref suffix contains corresponding reference values
sos2
whether to tell Gurobi about SOS2 constraints for nonconvex piecewise-linear terms
1 = no
2 = yes (default), using suffixes .sos and .sosref
startnodelimit
limit on how many branch-and-bound nodes to explore when doing a partial MIP start:
-2 = suppress MIP start processing
-1 = use submipnodes (default)
≥ 0 = specific node limit
submipcuts
sub-MIP cuts: overrides “cuts”; choices as for “cuts”
submipnodes
limit on nodes explored by MIP-based heuristics, e.g., RINS. Default = 500.
symmetry
MIP symmetry detection:
-1 = automatic choice (default)
0 = none
1 = conservative
2 = agressive
threads
maximum threads to use on MIP problems (default: 0 - maximum possible)
timelim
limit on solve time (in seconds; default: no limit)
timing
whether to report timing:
0 (default) = no
1 = report times on stdout
2 = report times on stderr
tunebase
base name for results of running Gurobi’s search for better parameter settings. The search is run only when tuneparbase is specified. Results are written to files with names derived from tunebase by appending “.prm” if “.prm” does not occur in tuneparbase and inserting 1, 2, … (for the first, second, … set of parameter settings) before the right-most “.prm”. The file with “1” inserted is the best set and the solve results returned are for this set. In a subsequent “solve;”, you can use paramfile=… to apply the settings in results file … .
tuneoutput
amount of tuning output when tunebase is specified:
0 = none
1 = summarize each new best parameter set
2 = summarize each set tried (default)
3 = summary plus detailed solver output for each trial
tuneresults
limit on the number of tuning result files to write when tunerbase is specified. The default (-1) is to write results for all parameter sets on the efficient frontier.
tunetimelimit
time limit (in seconds) on tuning when tunebase is specified. (default: -1 = automatic choice of time limit)
tunetrials
number of trials for each parameter set when tunebase is specified, each with a different random seed value. (default = 3)
ubpen
See feasrelax
varbranch
MIP branch variable selection strategy:
-1 = automatic choice (default)
0 = pseudo reduced-cost branching
1 = pseudo shadow-price branching
2 = maximum infeasibility branching
3 = strong branching
version
Report version details before solving the problem. This is a single-word “phrase” that does not accept a value assignment.
wantsol
solution report without -AMPL: sum of
1 => write .sol file
2 => print primal variable values
4 => print dual variable values
8 => do not print solution message
warmstart
0 = no
1 = yes if there is no incoming basis (default)
2 = yes, ignoring the incoming basis (if any)
3 = no, but on MIP problems, use the incoming primal values as hints, ignoring the .hintpri suffix
4 = similar to 3, but use the .hintpri suffix on variables: larger (integer) values give greater priority to the initial value of the associated variable.
Note that specifying basis=0 or basis=2 causes there to be no incoming basis. This is relevant to warmstart values 1, 3, and 4. For continuous problems, warmstart values >= 2 are treated as 1.
work
Whether to report the amount of (deterministic) work spent on the latest optimization:
0 = do not report (default)
1 = report in the problem suffix “work”.
worklimit
Maximum amount of work expended (in work units); in contrast to timelim, work limits are deterministic (default no limit).
writeprob
name of a GUROBI-format file to be written (for debugging); must end in one of “.bas”, “.lp”, “.mps”, “.prm”, “.rew”, “.rlp”, “.sol”, or for the “fixed” model used to recover a basis or dual values for problems with integer variables or quadratic constraints, “.fix_lp” or “.fix_mps”; the ‘_’ will be replaced by ‘.’ in the name of the file written for “.fix_lp” or “.fix_mps”. Can appear more than once with different filenames.
zerohalfcuts
zero-half cuts: overrides “cuts”; choices as for “cuts”
zeroobjnodes
number of nodes for the zero objective heuristic to explore at the MIP root node when a feasible solution has not been found by any other heuristic (default: -1)