Source code for benderslib.benders.lshaped
# coding:utf-8
# SPDX-License-Identifier: Apache-2.0
# Copyright (c) 2021-2026 Peng-Hui Guo <[email protected]>
from ..core import BendersParams, MasterProblem, SubProblems, BendersSolver
from ..cuts import LShapedOCGen, LShapedFCGen
[docs]
class LShaped(BendersSolver):
"""An implementation of :doc:`../tutorials/lshaped` (linear recourse).
It builds a Benders decomposition framework using the provided master problem,
subproblem, and complicating variables.
The optimality cut is defined by :class:`LShapedOC` (single-cut) or :class:`ClassicalOC` (multi-cut),
and generated by :class:`LShapedOCGen`;
the feasibility cut is defined by :class:`ClassicalFC` and generated by :class:`LShapedFCGen`.
Note that L-shaped method is a generalization of classical Benders
decomposition applied to two-stage stochastic programming problems.
Therefore, :class:`ClassicalOC` and :class:`ClassicalFC` are also used in the L-shaped method.
.. caution::
The class :class:`LShaped` requires the (second-stage) **subproblems be pure LP**.
Parameters
----------
master_problem : MasterProblem
An instance of :class:`MasterProblem` representing the master problem.
sub_problem : SubProblems
An instance of :class:`SubProblems` representing the collection of subproblems.
complicating_vars : list[str]
A list of names of the complicating variables.
params : BendersParams, optional
An instance of :class:`BendersParams` containing parameters for the Benders decomposition process.
If not provided, default parameters will be used.
Example
----------
.. code-block:: python
from benderslib import LShaped, MasterProblem, SubProblems
from benderslib.solvers import Gurobi
# Define master and subproblem models
master_model = ... # Define your master problem model here
sub_models = [...] # Define your list of subproblem models here
probs = [1/len(sub_models)] * len(sub_models) # Define probabilities for each scenario
# Initialize master and subproblems
mp = MasterProblem(Gurobi(master_model))
sp = SubProblems([Gurobi(sm) for sm in sub_models], prob=probs)
# Define complicating variables
complicating_vars = ['x1', 'x2', 'x3']
# Initialize and solve
BD = LShaped(mp, sp, complicating_vars)
BD.solve()
"""
def __init__(
self,
master_problem: MasterProblem,
sub_problem: SubProblems,
complicating_vars: list[str],
optimality_cut=LShapedOCGen,
feasibility_cut=LShapedFCGen,
params: BendersParams | None = None
):
super().__init__(
master_problem,
sub_problem,
complicating_vars,
optimality_cut,
feasibility_cut,
params
)
[docs]
@classmethod
def from_models(
cls,
master_model,
master_solver,
sub_model,
sub_solver,
complicating_vars,
optimality_cut=LShapedOCGen,
feasibility_cut=LShapedFCGen,
prob=None,
params: BendersParams | None = None
):
return super().from_models(
master_model,
master_solver,
sub_model,
sub_solver,
complicating_vars,
optimality_cut,
feasibility_cut,
prob,
params
)