several approaches for solving problems with piecewise linear functions. More...
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Functions | |
def | mult_selection (model, a, b) |
def | convex_comb_sos (model, a, b) |
def | convex_comb_dis (model, a, b) |
def | gray (i) |
def | convex_comb_dis_log (model, a, b) |
def | convex_comb_agg (model, a, b) |
def | convex_comb_agg_log (model, a, b) |
several approaches for solving problems with piecewise linear functions.
Definition in file piecewise.py.
def piecewise.convex_comb_agg | ( | model, | |
a, | |||
b | |||
) |
convex_comb_agg -- add piecewise relation convex combination formulation -- non-disaggregated. Parameters: - model: a model where to include the piecewise linear relation - a[k]: x-coordinate of the k-th point in the piecewise linear relation - b[k]: y-coordinate of the k-th point in the piecewise linear relation Returns the model with the piecewise linear relation on added variables X, Y, and z.
Definition at line 149 of file piecewise.py.
def piecewise.convex_comb_agg_log | ( | model, | |
a, | |||
b | |||
) |
convex_comb_agg_log -- add piecewise relation with a logarithmic number of binary variables using the convex combination formulation -- non-disaggregated. Parameters: - model: a model where to include the piecewise linear relation - a[k]: x-coordinate of the k-th point in the piecewise linear relation - b[k]: y-coordinate of the k-th point in the piecewise linear relation Returns the model with the piecewise linear relation on added variables X, Y, and z.
Definition at line 178 of file piecewise.py.
def piecewise.convex_comb_dis | ( | model, | |
a, | |||
b | |||
) |
convex_comb_dis -- add piecewise relation with convex combination formulation Parameters: - model: a model where to include the piecewise linear relation - a[k]: x-coordinate of the k-th point in the piecewise linear relation - b[k]: y-coordinate of the k-th point in the piecewise linear relation Returns the model with the piecewise linear relation on added variables X, Y, and z.
Definition at line 73 of file piecewise.py.
def piecewise.convex_comb_dis_log | ( | model, | |
a, | |||
b | |||
) |
convex_comb_dis_log -- add piecewise relation with a logarithmic number of binary variables using the convex combination formulation. Parameters: - model: a model where to include the piecewise linear relation - a[k]: x-coordinate of the k-th point in the piecewise linear relation - b[k]: y-coordinate of the k-th point in the piecewise linear relation Returns the model with the piecewise linear relation on added variables X, Y, and z.
Definition at line 105 of file piecewise.py.
def piecewise.convex_comb_sos | ( | model, | |
a, | |||
b | |||
) |
convex_comb_sos -- add piecewise relation with gurobi's SOS constraints Parameters: - model: a model where to include the piecewise linear relation - a[k]: x-coordinate of the k-th point in the piecewise linear relation - b[k]: y-coordinate of the k-th point in the piecewise linear relation Returns the model with the piecewise linear relation on added variables X, Y, and z.
Definition at line 49 of file piecewise.py.
def piecewise.gray | ( | i | ) |
returns i^int(i/2)
Definition at line 100 of file piecewise.py.
def piecewise.mult_selection | ( | model, | |
a, | |||
b | |||
) |
mult_selection -- add piecewise relation with multiple selection formulation Parameters: - model: a model where to include the piecewise linear relation - a[k]: x-coordinate of the k-th point in the piecewise linear relation - b[k]: y-coordinate of the k-th point in the piecewise linear relation Returns the model with the piecewise linear relation on added variables X, Y, and z.
Definition at line 18 of file piecewise.py.