[CP-SAT] convert to PEP8 convention
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@@ -29,13 +29,13 @@ class ObjectivePrinter(cp_model.CpSolverSolutionCallback):
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def on_solution_callback(self):
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print(
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"Solution %i, time = %f s, objective = %i"
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% (self.__solution_count, self.WallTime(), self.ObjectiveValue())
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% (self.__solution_count, self.wall_time, self.objective_value)
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)
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self.__solution_count += 1
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def tasks_and_workers_assignment_sat():
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"""Solve the assignment problem."""
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"""solve the assignment problem."""
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model = cp_model.CpModel()
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# CP-SAT solver is integer only.
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@@ -53,71 +53,71 @@ def tasks_and_workers_assignment_sat():
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x = {}
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for i in all_workers:
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for j in all_groups:
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x[i, j] = model.NewBoolVar("x[%i,%i]" % (i, j))
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x[i, j] = model.new_bool_var("x[%i,%i]" % (i, j))
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## y_kj is 1 if task k is assigned to group j
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y = {}
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for k in all_tasks:
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for j in all_groups:
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y[k, j] = model.NewBoolVar("x[%i,%i]" % (k, j))
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y[k, j] = model.new_bool_var("x[%i,%i]" % (k, j))
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# Constraints
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# Each task k is assigned to a group and only one.
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for k in all_tasks:
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model.Add(sum(y[k, j] for j in all_groups) == 1)
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model.add(sum(y[k, j] for j in all_groups) == 1)
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# Each worker i is assigned to a group and only one.
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for i in all_workers:
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model.Add(sum(x[i, j] for j in all_groups) == 1)
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model.add(sum(x[i, j] for j in all_groups) == 1)
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# cost per group
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# Cost per group
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sum_of_costs = sum(task_cost)
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averages = []
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num_workers_in_group = []
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scaled_sum_of_costs_in_group = []
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scaling = 1000 # We introduce scaling to deal with floating point average.
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for j in all_groups:
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n = model.NewIntVar(1, num_workers, "num_workers_in_group_%i" % j)
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model.Add(n == sum(x[i, j] for i in all_workers))
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c = model.NewIntVar(0, sum_of_costs * scaling, "sum_of_costs_of_group_%i" % j)
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model.Add(c == sum(y[k, j] * task_cost[k] * scaling for k in all_tasks))
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a = model.NewIntVar(0, sum_of_costs * scaling, "average_cost_of_group_%i" % j)
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model.AddDivisionEquality(a, c, n)
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n = model.new_int_var(1, num_workers, "num_workers_in_group_%i" % j)
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model.add(n == sum(x[i, j] for i in all_workers))
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c = model.new_int_var(0, sum_of_costs * scaling, "sum_of_costs_of_group_%i" % j)
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model.add(c == sum(y[k, j] * task_cost[k] * scaling for k in all_tasks))
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a = model.new_int_var(0, sum_of_costs * scaling, "average_cost_of_group_%i" % j)
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model.add_division_equality(a, c, n)
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averages.append(a)
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num_workers_in_group.append(n)
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scaled_sum_of_costs_in_group.append(c)
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# All workers are assigned.
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model.Add(sum(num_workers_in_group) == num_workers)
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model.add(sum(num_workers_in_group) == num_workers)
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# Objective.
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obj = model.NewIntVar(0, sum_of_costs * scaling, "obj")
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model.AddMaxEquality(obj, averages)
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model.Minimize(obj)
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obj = model.new_int_var(0, sum_of_costs * scaling, "obj")
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model.add_max_equality(obj, averages)
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model.minimize(obj)
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# Solve and print out the solution.
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solver = cp_model.CpSolver()
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solver.parameters.max_time_in_seconds = 60 * 60 * 2
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objective_printer = ObjectivePrinter()
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status = solver.Solve(model, objective_printer)
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print(solver.ResponseStats())
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status = solver.solve(model, objective_printer)
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print(solver.response_stats())
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if status == cp_model.OPTIMAL:
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for j in all_groups:
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print("Group %i" % j)
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for i in all_workers:
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if solver.BooleanValue(x[i, j]):
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if solver.boolean_value(x[i, j]):
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print(" - worker %i" % i)
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for k in all_tasks:
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if solver.BooleanValue(y[k, j]):
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if solver.boolean_value(y[k, j]):
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print(" - task %i with cost %i" % (k, task_cost[k]))
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print(
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" - sum_of_costs = %i"
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% (solver.Value(scaled_sum_of_costs_in_group[j]) // scaling)
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% (solver.value(scaled_sum_of_costs_in_group[j]) // scaling)
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)
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print(" - average cost = %f" % (solver.Value(averages[j]) * 1.0 / scaling))
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print(" - average cost = %f" % (solver.value(averages[j]) * 1.0 / scaling))
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tasks_and_workers_assignment_sat()
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