sum#

VarDictND.sum(*pattern)#

Sum all variables, or a subset based on wildcard pattern, in a linear expression.

Parameters:
*patternAny, optional

For subsets, the pattern requires one value for each dimension of the N-dim tuple key. The single-character string '*' (asterisk) can be used as a wildcard to represent all possible values for a dimension.

Returns:
docplex.mp.linear.LinearExpr or docplex.mp.linear.ZeroExpr
Raises:
TypeError

If the pattern includes non-scalar(s).

ValueError

If the pattern is not the same as the length of N-dim tuple keys.

ValueError

If the pattern has no wildcard or all wildcards.

Examples

Create DOcplex model:

>>> from docplex.mp.model import Model
>>> mdl = Model()

Create index-set:

>>> arcs = IndexSetND([('A', 'B'), ('B', 'C'), ('C', 'B')], names=['ori', 'des'])

Add variables:

>>> from docplex_extensions import add_variables
>>> arc_flow = add_variables(mdl, arcs, 'C', ub=10, name='arc-flow')

Sum all variables:

>>> arc_flow.sum()
docplex.mp.LinearExpr(arc-flow_A_B+arc-flow_B_C+arc-flow_C_B)

Sum subset of variables having 'B' at the second dimension index:

>>> arc_flow.sum('*', 'B')
docplex.mp.LinearExpr(arc-flow_A_B+arc-flow_C_B)

Sum subset of variables having 'Z' at the first dimension index:

>>> arc_flow.sum('Z', '*')
docplex.mp.ZeroExpr()