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Added setup_slack to gain optimiser
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1 changed files with 37 additions and 10 deletions
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@ -1,18 +1,21 @@
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from mip import Model, xsum, maximize, BINARY
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from mip import Model, xsum, maximize, BINARY, OptimizationStatus
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from utils.logger import setup_logger
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logger = setup_logger()
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class GainOptimiser:
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"""
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This class is used maximise gain, given a constrained cost
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This class is used to maximise gain, given a constrained cost
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"""
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def __init__(self, components, max_cost):
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self.components = components
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self.max_cost = max_cost
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self.cost_constraint = None
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self.m = None
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self.variables = []
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self.solution = []
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self.solution_gain = None
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self.solution_cost = None
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@ -26,7 +29,6 @@ class GainOptimiser:
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self.components
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]
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# Set objective
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# This objective is the sum
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# gain_ig * x_ig, where gain_ig represents the gain for ith part in group g
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# and x_ig is the binary decision variable for the ith part in group g
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@ -38,33 +40,58 @@ class GainOptimiser:
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)
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)
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# Add constraints
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# This constrain ensures that sum of cost_ig * x_ig <= C, where cost_ig represents the cost for the ith
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# component
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# in group g, and x_ig is the binary decision variable for the ith component in group g
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self.m += xsum(
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cost_expression = xsum(
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item['cost'] * var for group, group_vars in zip(self.components, self.variables) for item, var in
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zip(group, group_vars)
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) <= self.max_cost
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# At most one item from each group
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self.cost_constraint = self.m.add_constr(cost_expression)
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# This constraint ensures that at most one item from each group is selected
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# This is expressed by summing up the decision variables for each group and ensuring that the sum is <= 1
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for group_vars in self.variables:
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self.m += xsum(var for var in group_vars) <= 1
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def setup_slack(self):
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# Remove the original cost constraint
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self.m.remove(self.cost_constraint)
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# Add slack variable
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s = self.m.add_var(lb=0)
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# Modify the constraint
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self.m += xsum(
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item['cost'] * var for group, group_vars in zip(self.components, self.variables) for item, var in
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zip(group, group_vars)
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) + s <= self.max_cost
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# Modify the objective to penalize the use of slack
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penalty = -10000 # Negative penalty because we are maximizing
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self.m.objective = maximize(
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xsum(
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component['gain'] * var for group, group_vars in zip(self.components, self.variables) for component, var
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in
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zip(group, group_vars)
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) + penalty * s
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)
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def solve(self):
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# Solve the problem
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self.m.optimize()
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if self.m.status == OptimizationStatus.INFEASIBLE:
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logger.info("We have an infeasible model, setting up slack model")
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self.setup_slack()
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self.m.optimize()
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self.solution = [
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item for group, group_vars in zip(self.components, self.variables) for item, var in zip(group, group_vars)
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if
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var.x >= 0.99
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]
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# Get the selected items
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self.solution_gain = self.m.objective.x
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self.solution_cost = sum([component['cost'] for component in self.solution])
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