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SpeakerSchedulingSat.cs
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SpeakerSchedulingSat.cs
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// Copyright 2010-2021 Google LLC
// 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.
using Google.OrTools.Sat;
using System.Collections.Generic;
using System.Diagnostics;
using System.Linq;
using System;
class SpeakerScheduling
{
struct Entry
{
public IntVar var;
public int start;
public Entry(IntVar v, int s)
{
var = v;
start = s;
}
}
static void Solve(int first_slot)
{
Console.WriteLine("----------------------------------------------------");
// the slots each speaker is available
int[][] speaker_availability = {
new int[] { 1, 3, 4, 6, 7, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 33, 34, 35,
36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59 },
new int[] { 1, 2, 7, 8, 10, 11, 16, 17, 18, 21, 22, 23, 24, 25, 33, 34, 35, 36, 37, 38,
39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 52, 53, 54, 55, 56, 57, 58, 59, 60 },
new int[] { 5, 6, 7, 10, 12, 14, 16, 17, 21, 22, 23, 24, 33, 35, 37, 38,
39, 40, 41, 42, 43, 44, 45, 46, 51, 53, 55, 56, 57, 58, 59 },
new int[] { 1, 2, 3, 4, 5, 6, 7, 11, 13, 14, 15, 16, 20, 24, 25, 33, 34, 35, 37, 38,
39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60 },
new int[] { 4, 7, 8, 9, 16, 17, 19, 20, 21, 22, 23, 24, 25, 33, 34, 35, 36,
37, 38, 39, 40, 41, 42, 43, 49, 50, 51, 53, 55, 56, 57, 58, 59, 60 },
new int[] { 4, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 22, 23, 24, 33, 34,
35, 36, 38, 39, 42, 44, 46, 48, 49, 51, 53, 54, 55, 56, 57 },
new int[] { 1, 2, 3, 4, 5, 6, 7, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 54, 55, 56, 57, 58, 59, 60 },
new int[] { 1, 3, 11, 14, 15, 16, 17, 21, 22, 23, 24, 25, 33, 35, 36, 37, 39, 40,
41, 42, 43, 44, 45, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 },
new int[] { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 18, 19, 20, 21, 22, 23, 24, 25, 33, 34, 35,
36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60 },
new int[] { 24, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45,
49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 },
new int[] { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18,
19, 20, 22, 23, 24, 25, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,
44, 45, 46, 47, 48, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60 },
new int[] { 3, 4, 5, 6, 13, 15, 16, 17, 18, 19, 21, 22, 24, 25, 33, 34, 35,
36, 37, 39, 40, 41, 42, 43, 44, 45, 47, 52, 53, 55, 57, 58, 59, 60 },
new int[] { 4, 5, 6, 8, 11, 12, 13, 14, 17, 19, 20, 22, 23, 24, 25, 33, 34,
35, 36, 37, 39, 40, 41, 42, 43, 47, 48, 49, 50, 51, 52, 55, 56, 57 },
new int[] { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
20, 21, 22, 23, 24, 25, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44,
45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 },
new int[] { 12, 25, 33, 35, 36, 37, 39, 41, 42, 43, 48, 51, 52, 53, 54, 57, 59, 60 },
new int[] { 4, 8, 16, 17, 19, 23, 25, 33, 34, 35, 37, 41, 44, 45, 47, 48, 49, 50 },
new int[] { 3, 23, 24, 25, 33, 35, 36, 37, 38, 39, 40, 42, 43, 44, 49, 50, 53, 54, 55, 56, 57, 58, 60 },
new int[] { 7, 13, 19, 20, 22, 23, 24, 25, 33, 34, 35, 38, 40, 41,
42, 44, 45, 46, 47, 48, 49, 52, 53, 54, 58, 59, 60 }
};
// how long each talk lasts for each speaker
int[] durations = { 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 };
int sum_of_durations = durations.Sum();
int number_of_speakers = durations.Length;
// calculate the total number of slots (maximum in the availability array)
// (and add the max durations)
int last_slot = (from s in Enumerable.Range(0, number_of_speakers) select speaker_availability[s].Max()).Max();
Console.WriteLine($"Scheduling {number_of_speakers} speakers, for a total of " +
$"{sum_of_durations} slots, during [{first_slot}..{last_slot}]");
CpModel model = new CpModel();
// We store the possible entries (var, start) for all talks filtered
// from the duration and the speaker availability.
List<Entry>[] entries = new List<Entry>[number_of_speakers];
for (int speaker = 0; speaker < number_of_speakers; ++speaker)
{
entries[speaker] = new List<Entry>();
}
List<IntVar>[] contributions_per_slot = new List<IntVar>[last_slot + 1];
for (int slot = 1; slot <= last_slot; ++slot)
{
contributions_per_slot[slot] = new List<IntVar>();
}
for (int speaker = 0; speaker < number_of_speakers; ++speaker)
{
List<IntVar> all_vars = new List<IntVar>();
int duration = durations[speaker];
// Let's filter the possible starts.
int availability = speaker_availability[speaker].Length;
for (int index = 0; index < availability; ++index)
{
bool ok = true;
int slot = speaker_availability[speaker][index];
if (slot < first_slot)
{
continue;
}
for (int offset = 1; offset < duration; ++offset)
{
if (index + offset >= availability ||
speaker_availability[speaker][index + offset] != slot + offset)
{
// discontinuity.
ok = false;
break;
}
}
if (ok)
{
IntVar var = model.NewBoolVar("speaker " + (speaker + 1) + " starts at " + slot);
entries[speaker].Add(new Entry(var, slot));
all_vars.Add(var);
for (int offset = 0; offset < duration; ++offset)
{
contributions_per_slot[slot + offset].Add(var);
}
}
}
model.Add(LinearExpr.Sum(all_vars) == 1);
}
// Force the schedule to be consistent.
for (int slot = first_slot; slot <= last_slot; ++slot)
{
model.Add(LinearExpr.Sum(contributions_per_slot[slot]) <= 1);
}
// Creates last_slot.
IntVar last_slot_var = model.NewIntVar(first_slot + sum_of_durations - 1, last_slot, "last_slot");
for (int speaker = 0; speaker < number_of_speakers; speaker++)
{
int duration = durations[speaker];
foreach (Entry e in entries[speaker])
{
model.Add(last_slot_var >= e.start + duration - 1).OnlyEnforceIf(e.var);
}
}
model.Minimize(last_slot_var);
// Creates the solver and solve.
CpSolver solver = new CpSolver();
solver.StringParameters = "num_search_workers:8";
CpSolverStatus status = solver.Solve(model);
if (status == CpSolverStatus.Optimal)
{
Console.WriteLine("\nLast used slot: " + solver.Value(last_slot_var));
Console.WriteLine("Speakers (start..end):");
for (int speaker = 0; speaker < number_of_speakers; speaker++)
{
foreach (Entry e in entries[speaker])
{
if (solver.BooleanValue(e.var))
{
Console.WriteLine(" - speaker {0,2}: {1,2}..{2,2}", (speaker + 1), e.start,
(e.start + durations[speaker] - 1));
}
}
}
}
// Statistics.
Console.WriteLine(solver.ResponseStats());
}
public static void Main(String[] args)
{
int start = 1;
if (args.Length == 1)
{
start = int.Parse(args[0]);
}
Stopwatch s = new Stopwatch();
s.Start();
for (int i = start; i < 40; i++)
{
Solve(i);
}
s.Stop();
Console.WriteLine("Finished in " + s.ElapsedMilliseconds + " ms");
}
}