# Copyright 2010 Hakan Kjellerstrand hakank@bonetmail.com # # Licensed under the Apache License, Version 2.0 (the 'License'); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an 'AS IS' BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. """ Organizing a day in Google CP Solver. Simple scheduling problem. Problem formulation from ECLiPSe: Slides on (Finite Domain) Constraint Logic Programming, page 38f http://eclipse-clp.org/reports/eclipse.ppt Compare with the following models: * MiniZinc: http://www.hakank.org/minizinc/organize_day.mzn * Comet: http://www.hakank.org/comet/organize_day.co * Gecode: http://hakank.org/gecode/organize_day.cpp This model was created by Hakan Kjellerstrand (hakank@bonetmail.com) Also see my other Google CP Solver models: http://www.hakank.org/google_or_tools/ """ from __future__ import print_function import sys from ortools.constraint_solver import pywrapcp # # No overlapping of tasks s1 and s2 # def no_overlap(solver, s1, d1, s2, d2): b1 = solver.IsLessOrEqualVar(s1 + d1, s2) # s1 + d1 <= s2 b2 = solver.IsLessOrEqualVar(s2 + d2, s1) # s2 + d2 <= s1 solver.Add(b1 + b2 >= 1) def main(): # Create the solver. solver = pywrapcp.Solver('Organizing a day') # # data # n = 4 tasks = list(range(n)) work, mail, shop, bank = tasks durations = [4, 1, 2, 1] # task [i,0] must be finished before task [i,1] before_tasks = [ [bank, shop], [mail, work] ] # the valid times of the day begin = 9 end = 17 # # declare variables # begins = [solver.IntVar(begin, end, 'begins[%i]% % i') for i in tasks] ends = [solver.IntVar(begin, end, 'ends[%i]% % i') for i in tasks] # # constraints # for i in tasks: solver.Add(ends[i] == begins[i] + durations[i]) for i in tasks: for j in tasks: if i < j: no_overlap(solver, begins[i], durations[i], begins[j], durations[j]) # specific constraints for (before, after) in before_tasks: solver.Add(ends[before] <= begins[after]) solver.Add(begins[work] >= 11) # # solution and search # db = solver.Phase(begins + ends, solver.INT_VAR_DEFAULT, solver.INT_VALUE_DEFAULT) solver.NewSearch(db) num_solutions = 0 while solver.NextSolution(): num_solutions += 1 print('begins:', [begins[i].Value() for i in tasks]) print('ends:', [ends[i].Value() for i in tasks]) print() print('num_solutions:', num_solutions) print('failures:', solver.Failures()) print('branches:', solver.Branches()) print('WallTime:', solver.WallTime(), 'ms') if __name__ == '__main__': main()