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from
typing
import
Any
from
io
import
TextIOBase
as
_TextIOBase
class
LinExpr
(
object
):
def
__repr__
(
self
):
"""
Return repr(self).
"""
...
def
__lt__
(
self
,
value
):
"""
Return self<value.
"""
...
def
__le__
(
self
,
value
):
"""
Return self<=value.
"""
...
def
__eq__
(
self
,
value
):
"""
Return self==value.
"""
...
def
__ne__
(
self
,
value
):
"""
Return self!=value.
"""
...
def
__gt__
(
self
,
value
):
"""
Return self>value.
"""
...
def
__ge__
(
self
,
value
):
"""
Return self>=value.
"""
...
def
__init__
(
self
,
*
args
,
**
kwargs
):
"""
Initialize self. See help(type(self)) for accurate signature.
"""
...
def
__add__
(
self
,
value
):
"""
Return self+value.
"""
...
def
__radd__
(
self
,
value
):
"""
Return value+self.
"""
...
def
__sub__
(
self
,
value
):
"""
Return self-value.
"""
...
def
__rsub__
(
self
,
value
):
"""
Return value-self.
"""
...
def
__mul__
(
self
,
value
):
"""
Return self*value.
"""
...
def
__rmul__
(
self
,
value
):
"""
Return value*self.
"""
...
def
__neg__
(
self
):
"""
-self
"""
...
def
__iadd__
(
self
,
value
):
"""
Return self+=value.
"""
...
def
__isub__
(
self
,
value
):
"""
Return self-=value.
"""
...
def
__imul__
(
self
,
value
):
"""
Return self*=value.
"""
...
def
__truediv__
(
self
,
value
):
"""
Return self/value.
"""
...
def
__rtruediv__
(
self
,
value
):
"""
Return value/self.
"""
...
def
__new__
(
*
args
,
**
kwargs
):
"""
Create and return a new object. See help(type) for accurate signature.
"""
...
def
_flatten
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
def
_normalize
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
def
add
(
self
,
expr
,
mult
=
1.0
):
"""
ROUTINE:
add(expr, mult=1.0)
PURPOSE:
Add a linear multiple of one expression into another.
ARGUMENTS:
expr (LinExpr): The expression to add
mult (float): The linear multiplier
EXAMPLE:
expr1.add(expr2, 2.0)
"""
...
def
addConstant
(
self
,
constant
):
"""
ROUTINE:
addConstant(constant)
PURPOSE:
Add a constant into a linear expression.
ARGUMENTS:
constant (float): The value to add
EXAMPLE:
expr.addConstant(3.5)
"""
...
def
addTerms
(
self
,
coeffs
,
vars
):
"""
ROUTINE:
addTerms(coeffs, vars)
PURPOSE:
Add a list of terms into a linear expression.
ARGUMENTS:
coeffs (list of float): The coefficients for the new terms
vars (list of Var): The variables for the new terms
EXAMPLE:
expr.addTerms(1.0, x)
expr.addTerms([1.0, 2.0], [x, y])
"""
...
def
_mul
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
def
size
(
self
):
"""
ROUTINE:
size()
PURPOSE:
Return the number of terms in a linear expression.
ARGUMENTS:
None.
RETURN VALUE:
Number of terms in expression.
EXAMPLE:
print expr.size()
"""
...
def
getConstant
(
self
):
"""
ROUTINE:
getConstant()
PURPOSE:
Return the constant terms from a linear expression.
ARGUMENTS:
None.
RETURN VALUE:
Constant for expression.
EXAMPLE:
print expr.getConstant()
"""
...
def
getCoeff
(
self
,
i
):
"""
ROUTINE:
getCoeff(i)
PURPOSE:
Return the coefficient for the term at index 'i'.
ARGUMENTS:
i (Int): Index of term whose coefficient is requested
RETURN VALUE:
The requested coefficient.
EXAMPLE:
print expr.getCoeff(i)
"""
...
def
getVar
(
self
,
i
):
"""
ROUTINE:
getVar(i)
PURPOSE:
Return the variable for the term at index 'i'.
ARGUMENTS:
i (Int): Index of term whose variable is requested
RETURN VALUE:
The requested variable (a Var object).
EXAMPLE:
print expr.getVar(i)
"""
...
def
getValue
(
self
):
"""
ROUTINE:
getValue()
PURPOSE:
Compute the value of the expression, using the current solution.
ARGUMENTS:
None.
RETURN VALUE:
The computed expression value.
EXAMPLE:
print model.getObjective().getValue()
"""
...
def
remove
(
self
,
which
):
"""
ROUTINE:
remove(which)
PURPOSE:
Remove a term from the expression.
ARGUMENTS:
which: Term to remove. Can be an Int, in which case the term at
index 'which' is removed, or a Var, in which case all terms that
involve the Var 'which' are removed.
EXAMPLE:
print expr.remove(i)
"""
...
def
clear
(
self
):
"""
ROUTINE:
clear()
PURPOSE:
Set a linear expression to zero.
EXAMPLE:
print expr.clear()
"""
...
def
copy
(
self
):
"""
ROUTINE:
copy()
PURPOSE:
Copy a linear expression.
EXAMPLE:
expr2 = expr1.copy()
"""
...
def
__reduce__
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
def
__setstate__
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
class
QuadExpr
(
object
):
def
__repr__
(
self
):
"""
Return repr(self).
"""
...
def
__lt__
(
self
,
value
):
"""
Return self<value.
"""
...
def
__le__
(
self
,
value
):
"""
Return self<=value.
"""
...
def
__eq__
(
self
,
value
):
"""
Return self==value.
"""
...
def
__ne__
(
self
,
value
):
"""
Return self!=value.
"""
...
def
__gt__
(
self
,
value
):
"""
Return self>value.
"""
...
def
__ge__
(
self
,
value
):
"""
Return self>=value.
"""
...
def
__init__
(
self
,
*
args
,
**
kwargs
):
"""
Initialize self. See help(type(self)) for accurate signature.
"""
...
def
__add__
(
self
,
value
):
"""
Return self+value.
"""
...
def
__radd__
(
self
,
value
):
"""
Return value+self.
"""
...
def
__sub__
(
self
,
value
):
"""
Return self-value.
"""
...
def
__rsub__
(
self
,
value
):
"""
Return value-self.
"""
...
def
__mul__
(
self
,
value
):
"""
Return self*value.
"""
...
def
__rmul__
(
self
,
value
):
"""
Return value*self.
"""
...
def
__neg__
(
self
):
"""
-self
"""
...
def
__iadd__
(
self
,
value
):
"""
Return self+=value.
"""
...
def
__isub__
(
self
,
value
):
"""
Return self-=value.
"""
...
def
__imul__
(
self
,
value
):
"""
Return self*=value.
"""
...
def
__truediv__
(
self
,
value
):
"""
Return self/value.
"""
...
def
__rtruediv__
(
self
,
value
):
"""
Return value/self.
"""
...
def
__new__
(
*
args
,
**
kwargs
):
"""
Create and return a new object. See help(type) for accurate signature.
"""
...
def
_flatten
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
def
_normalize
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
def
add
(
self
,
expr
,
mult
=
1.0
):
"""
ROUTINE:
add(expr, mult=1.0)
PURPOSE:
Add a linear multiple of one expression into another.
ARGUMENTS:
expr (LinExpr or QuadExpr): The expression to add
mult (float): The linear multiplier
EXAMPLE:
expr1.add(expr2, 2.0)
"""
...
def
addConstant
(
self
,
constant
):
"""
ROUTINE:
addConstant(constant)
PURPOSE:
Add a constant into a quadratic expression.
ARGUMENTS:
constant (float): The value to add
EXAMPLE:
expr.addConstant(3.5)
"""
...
def
addTerms
(
self
,
coeffs
,
vars
):
"""
ROUTINE:
addTerms(coeffs, vars)
addTerms(coeffs, vars, vars2)
PURPOSE:
Add a list of terms, either linear or quadratic, into a quadratic
expression.
ARGUMENTS:
coeffs (list of float): The coefficients for the new terms
vars (list of Var): The variables for the new terms
vars2 (list of Var): The variables for the new terms
EXAMPLE:
expr.addTerms(1.0, x)
expr.addTerms(1.0, x, x)
expr.addTerms([1.0, 2.0], [x, y])
expr.addTerms([1.0, 2.0], [x, y], [x, y])
"""
...
def
_mul
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
def
size
(
self
):
"""
ROUTINE:
size()
PURPOSE:
Return the number of quadratic terms in a quadratic expression.
ARGUMENTS:
None.
RETURN VALUE:
Number of terms in expression.
EXAMPLE:
print expr.size()
"""
...
def
getLinExpr
(
self
):
"""
ROUTINE:
getLinExpr()
PURPOSE:
Return the linear portion of a quadration expression (as a LinExpr
object).
ARGUMENTS:
None.
RETURN VALUE:
Linear expression.
EXAMPLE:
print expr.getLinExpr()
"""
...
def
getCoeff
(
self
,
i
):
"""
ROUTINE:
getCoeff(i)
PURPOSE:
Return the coefficient for the term at index 'i'.
ARGUMENTS:
i (Int): Index of term whose coefficient is requested
RETURN VALUE:
The requested coefficient.
EXAMPLE:
print expr.getCoeff(i)
"""
...
def
getVar1
(
self
,
i
):
"""
ROUTINE:
getVar1(i)
PURPOSE:
Return the first variable for the quadratic term at index 'i'.
ARGUMENTS:
i (Int): Index of quadratic term whose variable is requested
RETURN VALUE:
The requested variable.
EXAMPLE:
print expr.getVar1(i)
"""
...
def
getVar2
(
self
,
i
):
"""
ROUTINE:
getVar2(i)
PURPOSE:
Return the second variable for the quadratic term at index 'i'.
ARGUMENTS:
i (Int): Index of quadratic term whose variable is requested
RETURN VALUE:
The requested variable.
EXAMPLE:
print expr.getVar2(i)
"""
...
def
getValue
(
self
):
"""
ROUTINE:
getValue()
PURPOSE:
Compute the value of the expression, using the current solution.
ARGUMENTS:
None.
RETURN VALUE:
The computed expression value.
EXAMPLE:
print model.getObjective().getValue()
"""
...
def
remove
(
self
,
which
):
"""
ROUTINE:
remove(which)
PURPOSE:
Remove a quadratic term from the expression.
ARGUMENTS:
which: Term to remove. Can be an Int, in which case the quadratic term
at index 'which' is removed, or a Var, in which case all quadratic
terms that involve the Var 'which' are removed.
EXAMPLE:
print expr.remove(i)
"""
...
def
clear
(
self
):
"""
ROUTINE:
clear()
PURPOSE:
Set a linear expression to zero.
EXAMPLE:
print expr.clear()
"""
...
def
copy
(
self
):
"""
ROUTINE:
copy()
PURPOSE:
Copy a quadratic expression.
EXAMPLE:
expr2 = expr1.copy()
"""
...
def
__reduce__
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
def
__setstate__
(
self
,
*
args
,
**
kwargs
)
->
Any
:
...
class
Env
(
object
):
"""
Gurobi environment object. Methods on this object are:
readParams(paramname): Read a set of parameter settings from a file.
resetParams(): Reset all parameters to their default values.
setParam(paramname, newval): Set a parameter to a new value.
writeParams(paramname): Write the current parameter settings to a file.
Additional help can be obtained on any of these methods (e.g.,
help(Env.setParam)). A list of all available parameters can be
obtained by typing 'help(GRB.param)'.
"""
_default
:
bool
=
...
_user
:
bool
=
...
_modcnt
:
int
=
...
def
__init__
(
self
,
logfilename
=
''
,
empty
=
False
,
cenv
=
None
,
isDefault
=
False
):
...
def
__del__
(
self
):
...
def
__repr__
(
self
):
...
def
_paramlist
(
self
,
paramname
):
...
def
_message
(
self
,
msg
):
...
def
_getParamInfo
(
self
,
paramname
):
...
def
_Env__setone
(
self
,
paraminfo
,
newval
):
...
def
setParam
(
self
,
paramname
,
newval
,
verbose
=
True
):
"""
ROUTINE:
setParam(paramname, newvalue)
PURPOSE:
Set a parameter to a new value.
ARGUMENTS:
paramname (string): The name of the parameter.
newvalue: The desired new value. The type of the value should be
compatible with the parameter type (e.g., an integer parameter
will take an integer value). One important exception: the
string "default" will return the specified parameter to its
default value.
RETURN VALUE:
None.
EXAMPLE:
env.setParam("NodeLimit", 100)
env.setParam("TimeLimit", "default")
NOTES:
Use this routine to change parameter values in the default environment.
The default environment is used to initialize parameter values when a
new model is created. Once the model exists, changes to the default
environment will no longer affect that model. Use Model.setParam()
to change parameter settings for an existing model.
Routine paramHelp() provides additional information on the available
parameters.
"""
...
def
resetParams
(
self
):
"""
ROUTINE:
resetParams()
PURPOSE:
Reset all parameters to their default values.
ARGUMENTS:
None.
RETURN VALUE:
None.
EXAMPLE:
env.resetParams()
NOTES:
This routine should normally be called on the default environment or on
a model object.
"""
...
def
readParams
(
self
,
filename
):
"""
ROUTINE:
readParams(filename)
PURPOSE:
Read a set of parameter settings from a file.
ARGUMENTS:
filename (string): A path to a file containing a list of parameter
settings.
RETURN VALUE:
None.
EXAMPLE:
env.readParams('gurobi.prm')
NOTES:
This routine should normally be called on the default environment or on
a model object.
The parameter file should contain "name value" pairs, each on its own
line. A hash symbol at the beginning of a line indicates that the line
should be ignored. Here is an example of a valid parameter file:
# List of changed parameters
TimeLimit 100
IterationLimit 1000
"""
...
def
writeParams
(
self
,
filename
):
"""
ROUTINE:
writeParams(filename)
PURPOSE:
Write non-default parameter settings to a file.
ARGUMENTS:
filename (string): The name of the file to which non-default parameter
settings should be written.
RETURN VALUE:
None.
EXAMPLE:
env.writeParams('changed.prm')
NOTES:
This routine should normally be called on the default environment or on
a model object.
Upon completion, the specified file will contain a set of "name value"
pairs, one per line, that indicates the set of parameters that current
have non-default values in the specified model.
"""
...
def
start
(
self
):
...
def
dispose
(
self
):
...
@
classmethod
def
ClientEnv
(
cls
,
*
args
,
**
kwargs
)
->
Any
:
...
@
classmethod
def
CloudEnv
(
cls
,
*
args
,
**
kwargs
)
->
Any
:
...
@
classmethod
def
OtherEnv
(
cls
,
*
args
,
**
kwargs
)
->
Any
:
...
class
Var
(
object
):
"""
Gurobi variable object. Variables have a number of attributes.
Some can be set (e.g., v.ub = 0.0), while others can only be queried
(e.g., print v.x). The most commonly used variable attributes are:
obj: Linear objective coefficient.
lb: Lower bound.
ub: Upper bound.
varName: Variable name.
vType: Variable type ('C', 'B', 'I', 'S', or 'N').
x: Solution value.
rc: Solution reduced cost.
xn: Solution value in an alternate MIP solution.
Type "help(GRB.attr)" for a list of all available attributes.
Note that attribute modifications are handled in a lazy fashion. You
won't see the effect of a change until after the next call to Model.update()
or Model.optimize().
"""
def
__init__
(
self
,
cmodel
,
colno
):
...
def
__dir__
(
self
):
...
def
__colno__
(
self
):
...
def
__repr__
(
self
):
...
def
__numcols__
(
self
):
...
def
__getattr__
(
self
,
name
):
...
def
__setattr__
(
self
,
name
,
value
):
...
def
getAttr
(
self
,
attrname
):
"""
ROUTINE:
getAttr(attrname)
PURPOSE:
Request the value of a variable attribute.
ARGUMENTS:
attrname (string): The name of the requested attribute.
RETURN VALUE:
The attribute value.
EXAMPLE:
print var.getAttr("varName")
NOTES:
Type "help(GRB.attr)" for a list of all available attributes.
"""
...
def
setAttr
(
self
,
attrname
,
newval
):
"""
ROUTINE:
setAttr(attrname, newvalue)
PURPOSE:
Change the value of a variable attribute.
ARGUMENTS:
attrname (string): The name of the attribute.
newvalue: The desired new value. The type of the value should be
compatible with the attribute type (e.g., an integer parameter
will take an integer value).
RETURN VALUE:
The attribute value.
EXAMPLE:
var.setAttr("varName", "New name")
NOTES:
Constraint attributes that can be set are:
VarName: Name of the variable.
lb: Lower bound.
ub: Upper bound.
obj: Objective coefficient.
vType: Variable type ('C', 'B', 'I', 'S', or 'N').
Attributes changes are handled in a lazy fashion. The effect of a
change isn't visible until after the next call to Model.update() or
Model.optimize().
"""
...
def
sameAs
(
self
,
other
):
"""
ROUTINE:
sameAs(othervar)
PURPOSE:
Indicates whether two variable objects refer to the same Gurobi model
variable. You should use this instead of the '==' operator, since
'==' is used to create linear constraints.
ARGUMENTS:
othervar (Var): The variable to compare against.
RETURN VALUE:
True if both Var objects refer to the same model variable.
EXAMPLE:
var1.sameAs(var2)
"""
...
def
__le__
(
self
,
rhs
):
...
def
__ge__
(
self
,
rhs
):
...
def
__eq__
(
self
,
rhs
):
...
def
__ne__
(
self
,
rhs
):
...
def
__add__
(
self
,
expr
):
...
def
__radd__
(
self
,
expr
):
...
def
__iadd__
(
self
,
expr
):
...
def
__sub__
(
self
,
expr
):
...
def
__rsub__
(
self
,
expr
):
...
def
__isub__
(
self
,
expr
):
...
def
__mul__
(
self
,
expr
):
...
def
__rmul__
(
self
,
expr
):
...
def
__imul__
(
self
,
expr
):
...
def
__div__
(
self
,
constant
):
...
def
__truediv__
(
self
,
constant
):
...
def
__neg__
(
self
):
...
lb
=
...
"""Lower bound"""
ub
=
...
"""Upper bound"""
obj
=
...
"""Objective coefficient"""
vType
=
...
"""Variable type (GRB.CONTINUOUS, GRB.BINARY, GRB.INTEGER, GRB.SEMICONT, or GRB.SEMIINT)"""
varName
=
...
"""Variable name"""
x
=
...
"""Solution value"""
rc
=
...
"""Reduced cost"""
xn
=
...
"""Solution value in alternate MIP solution"""
start
=
...
"""Start vector (use GRB.UNDEFINED to leave a value unspecified)"""
vBasis
=
...
"""Basis status"""
varHintVal
=
...
"""Variable hint value"""
varHintPri
=
...
"""Variable hint priority"""
branchPriority
=
...
"""Variable branch priority"""
partition
=
...
"""Variable partition"""
IISLB
=
...
"""Does LB participate in IIS? (for infeasible models)"""
IISUB
=
...
"""Does UB participate in IIS? (for infeasible models)"""
SAObjLow
=
...
"""Smallest objective coefficient for which basis remains optimal"""
SAObjUp
=
...
"""Largest objective coefficient for which basis remains optimal"""
SALBLow
=
...
"""Smallest lower bound for which basis remains optimal"""
SALBUp
=
...
"""Largest lower bound for which basis remains optimal"""
SAUBLow
=
...
"""Smallest upper bound for which basis remains optimal"""
SAUBUp
=
...
"""Largest upper bound for which basis remains optimal"""
unbdRay
=
...
"""Unbounded ray"""
pStart
=
...
"""Primal solution (for warm-starting simplex)"""
preFixVal
=
...
"""The value of the variable (for variables fixed by presolve)"""
varPreStat
=
...
"""Status of variable in presolved model"""
class
Constr
(
object
):
"""
Gurobi constraint object. Constraints have a number of attributes.
Some can be set (e.g., c.rhs = 0.0), while others can only be queried
(e.g., print c.pi). The most commonly used constraint attributes are:
sense: Constraint sense ('<', '>', or '=').
rhs: Right-hand side value.
constrName: Constraint name.
pi: Dual value in current solution
slack: Slack in current solution.
Type "help(GRB.attr)" for a list of all available attributes.
Note that attribute modifications are handled in a lazy fashion. You
won't see the effect of a change until after the next call to Model.update()
or Model.optimize().
"""
def
__init__
(
self
,
cmodel
,
rowno
):
...
def
__dir__
(
self
):
...
def
__rowno__
(
self
):
...
def
__repr__
(
self
):
...
def
__numrows__
(
self
):
...
def
__getattr__
(
self
,
name
):
...
def
__setattr__
(
self
,
name
,
value
):
...
def
getAttr
(
self
,
attrname
):
"""
ROUTINE:
getAttr(attrname)
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