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110 lines
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<p>List of constraint solver samples:</p>
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<div class="fragment"><div class="line"><span class="comment">// Copyright 2018 Google LLC</span></div><div class="line"><span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div><div class="line"><span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><span class="comment">//</span></div><div class="line"><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><span class="comment">//</span></div><div class="line"><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div><div class="line"><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><span class="comment">// limitations under the License.</span></div><div class="line"></div><div class="line"><span class="preprocessor">#include <numeric></span> <span class="comment">// std::iota</span></div><div class="line"></div><div class="line"><span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div><div class="line"><span class="preprocessor">#include "<a class="code" href="constraint__solver_8h.html">ortools/constraint_solver/constraint_solver.h</a>"</span></div><div class="line"></div><div class="line"><span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><span class="keywordtype">void</span> SolveNursesExample() {</div><div class="line"> <span class="comment">// Instantiate the solver.</span></div><div class="line"> Solver solver(<span class="stringliteral">"NursesExample"</span>);</div><div class="line"> std::array<int, 4> nurses;</div><div class="line"> std::iota(std::begin(nurses), std::end(nurses), 0);</div><div class="line"> {</div><div class="line"> std::ostringstream oss;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">auto</span> i : nurses) oss << <span class="charliteral">' '</span> << i;</div><div class="line"> <a name="a0"></a><a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a name="a1"></a><a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Nurses:"</span> << oss.str();</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// Nurse assigned to shift 0 means not working that day.</span></div><div class="line"> std::array<int, 4> shifts;</div><div class="line"> std::iota(std::begin(shifts), std::end(shifts), 0);</div><div class="line"> {</div><div class="line"> std::ostringstream oss;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">auto</span> i : shifts) oss << <span class="charliteral">' '</span> << i;</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Shifts:"</span> << oss.str();</div><div class="line"> }</div><div class="line"></div><div class="line"> std::array<int, 7> days;</div><div class="line"> std::iota(std::begin(days), std::end(days), 0);</div><div class="line"> {</div><div class="line"> std::ostringstream oss;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">auto</span> i : days) oss << <span class="charliteral">' '</span> << i;</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Days:"</span> << oss.str();</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// Create shift variables.</span></div><div class="line"> std::vector<std::vector<IntVar*>> shifts_matrix(nurses.size());</div><div class="line"> std::vector<IntVar*> shifts_flat;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> nurse : nurses) {</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> day : days) {</div><div class="line"> std::ostringstream oss;</div><div class="line"> oss << <span class="stringliteral">"shifts(nurse: "</span> << nurse << <span class="stringliteral">", day: "</span> << day << <span class="stringliteral">")"</span>;</div><div class="line"> IntVar* <a name="a2"></a><a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = solver.MakeIntVar(shifts.front(), shifts.back(), oss.str());</div><div class="line"> shifts_matrix[nurse].push_back(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"> shifts_flat.push_back(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"> }</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// Create nurse variables.</span></div><div class="line"> std::vector<std::vector<IntVar*>> nurses_matrix(shifts.size());</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> shift : shifts) {</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> day : days) {</div><div class="line"> std::ostringstream oss;</div><div class="line"> oss << <span class="stringliteral">"nurses(shift: "</span> << shift << <span class="stringliteral">", day: "</span> << day << <span class="stringliteral">")"</span>;</div><div class="line"> IntVar* <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = solver.MakeIntVar(nurses.front(), nurses.back(), oss.str());</div><div class="line"> nurses_matrix[shift].push_back(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"> }</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// Set relationships between shifts and nurses.</span></div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> day : days) {</div><div class="line"> std::vector<IntVar*> nurses_for_day(shifts.size());</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> shift : shifts) {</div><div class="line"> nurses_for_day[shift] = nurses_matrix[shift][day];</div><div class="line"> }</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> nurse : nurses) {</div><div class="line"> IntVar* s = shifts_matrix[nurse][day];</div><div class="line"> solver.AddConstraint(</div><div class="line"> solver.MakeEquality(solver.MakeElement(nurses_for_day, s), nurse));</div><div class="line"> }</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// Make assignments different on each day i.e.</span></div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> day : days) {</div><div class="line"> <span class="comment">// no shift can have two nurses</span></div><div class="line"> std::vector<IntVar*> shifts_for_day(nurses.size());</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> nurse : nurses) {</div><div class="line"> shifts_for_day[nurse] = shifts_matrix[nurse][day];</div><div class="line"> }</div><div class="line"> solver.AddConstraint(solver.MakeAllDifferent(shifts_for_day));</div><div class="line"></div><div class="line"> <span class="comment">// no nurses can have more than one shifts a day</span></div><div class="line"> std::vector<IntVar*> nurses_for_day(shifts.size());</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> shift : shifts) {</div><div class="line"> nurses_for_day[shift] = nurses_matrix[shift][day];</div><div class="line"> }</div><div class="line"> solver.AddConstraint(solver.MakeAllDifferent(nurses_for_day));</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// Each nurse works 5 or 6 days in a week.</span></div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> nurse : nurses) {</div><div class="line"> std::vector<IntVar*> nurse_is_working;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> day : days) {</div><div class="line"> nurse_is_working.push_back(</div><div class="line"> solver.MakeIsGreaterOrEqualCstVar(shifts_matrix[nurse][day], 1));</div><div class="line"> }</div><div class="line"> solver.AddConstraint(solver.MakeSumGreaterOrEqual(nurse_is_working, 5));</div><div class="line"> solver.AddConstraint(solver.MakeSumLessOrEqual(nurse_is_working, 6));</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// Create works_shift variables.</span></div><div class="line"> <span class="comment">// works_shift_matrix[n][s] is True if</span></div><div class="line"> <span class="comment">// nurse n works shift s at least once during the week.</span></div><div class="line"> std::vector<std::vector<IntVar*>> works_shift_matrix(nurses.size());</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> nurse : nurses) {</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> shift : shifts) {</div><div class="line"> std::ostringstream oss;</div><div class="line"> oss << <span class="stringliteral">"work_shift(nurse: "</span> << nurse << <span class="stringliteral">", shift: "</span> << shift << <span class="stringliteral">")"</span>;</div><div class="line"> works_shift_matrix[nurse].push_back(solver.MakeBoolVar(oss.str()));</div><div class="line"> }</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> nurse : nurses) {</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> shift : shifts) {</div><div class="line"> std::vector<IntVar*> shift_s_for_nurse;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> day : days) {</div><div class="line"> shift_s_for_nurse.push_back(</div><div class="line"> solver.MakeIsEqualCstVar(shifts_matrix[nurse][day], shift));</div><div class="line"> }</div><div class="line"> solver.AddConstraint(</div><div class="line"> solver.MakeEquality(works_shift_matrix[nurse][shift],</div><div class="line"> solver.MakeMax(shift_s_for_nurse)->Var()));</div><div class="line"> }</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// For each shift(other than 0), at most 2 nurses are assigned to that shift</span></div><div class="line"> <span class="comment">// during the week.</span></div><div class="line"> <span class="keywordflow">for</span> (std::size_t shift = 1; shift < shifts.size(); ++shift) {</div><div class="line"> std::vector<IntVar*> nurses_for_shift;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> nurse : nurses) {</div><div class="line"> nurses_for_shift.push_back(works_shift_matrix[nurse][shift]);</div><div class="line"> }</div><div class="line"> solver.AddConstraint(solver.MakeSumLessOrEqual(nurses_for_shift, 2));</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// If a nurse works shifts 2 or 3 on,</span></div><div class="line"> <span class="comment">// he must also work that shift the previous day or the following day.</span></div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> shift : {2, 3}) {</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> day : days) {</div><div class="line"> IntVar* v0 = solver.MakeIsEqualVar(nurses_matrix[shift][day],</div><div class="line"> nurses_matrix[shift][(day + 1) % 7]);</div><div class="line"> IntVar* v1 = solver.MakeIsEqualVar(nurses_matrix[shift][(day + 1) % 7],</div><div class="line"> nurses_matrix[shift][(day + 2) % 7]);</div><div class="line"> solver.AddConstraint(solver.MakeEquality(solver.MakeMax(v0, v1), 1));</div><div class="line"> }</div><div class="line"> }</div><div class="line"></div><div class="line"> <span class="comment">// ----- Search monitors and decision builder -----</span></div><div class="line"></div><div class="line"> <span class="comment">// Create the decision builder.</span></div><div class="line"> DecisionBuilder* <span class="keyword">const</span> main_phase = solver.MakePhase(</div><div class="line"> shifts_flat, <a name="a3"></a><a class="code" href="classoperations__research_1_1_solver.html#ab7ab23bc58ea40dc03a5418ddbce7601a1a148a0aaaad7f56eea42df9876e7ae9">Solver::CHOOSE_FIRST_UNBOUND</a>, <a name="a4"></a><a class="code" href="classoperations__research_1_1_solver.html#a45c5a2dd0d47110ef5b00408854d8d84a26ee6f4132972f3880a16bf01faf5886">Solver::ASSIGN_MIN_VALUE</a>);</div><div class="line"></div><div class="line"> <span class="comment">// Search log.</span></div><div class="line"> SearchMonitor* <span class="keyword">const</span> search_log = <span class="keyword">nullptr</span>;</div><div class="line"></div><div class="line"> SearchLimit* limit = <span class="keyword">nullptr</span>;</div><div class="line"></div><div class="line"> <span class="comment">// Create the solution collector.</span></div><div class="line"> SolutionCollector* <span class="keyword">const</span> collector = solver.MakeAllSolutionCollector();</div><div class="line"> collector->Add(shifts_flat);</div><div class="line"></div><div class="line"> <span class="comment">// Solve</span></div><div class="line"> solver.Solve(main_phase, search_log, <span class="keyword">nullptr</span>, limit, collector);</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Number of solutions: "</span> << collector->solution_count();</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">""</span>;</div><div class="line"></div><div class="line"> <span class="comment">// Display a few solutions picked at random.</span></div><div class="line"> std::array<int, 4> a_few_solutions = {859, 2034, 5091, 7003};</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> solution : a_few_solutions) {</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Solution "</span> << solution << <span class="stringliteral">":"</span>;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> day : days) {</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Day "</span> << day << <span class="stringliteral">":"</span>;</div><div class="line"> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> nurse : nurses) {</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Nurse "</span> << nurse << <span class="stringliteral">" assigned to "</span></div><div class="line"> << <span class="stringliteral">"Task "</span></div><div class="line"> << collector->Value(solution,</div><div class="line"> shifts_flat[nurse * days.size() + day]);</div><div class="line"> }</div><div class="line"> }</div><div class="line"> }</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Advanced usage:"</span>;</div><div class="line"> <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) << <span class="stringliteral">"Time: "</span> << solver.wall_time() << <span class="stringliteral">"ms"</span>;</div><div class="line">}</div><div class="line">} <span class="comment">// namespace operations_research</span></div><div class="line"></div><div class="line"><span class="keywordtype">int</span> <a name="a5"></a><a class="code" href="fz_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span>** argv) {</div><div class="line"> <a name="a6"></a><a class="code" href="namespacegoogle.html#a1749056ff206ebc4f581e6bc0bae841d">google::InitGoogleLogging</a>(argv[0]);</div><div class="line"> absl::SetFlag(&FLAGS_logtostderr, 1);</div><div class="line"> operations_research::SolveNursesExample();</div><div class="line"> <span class="keywordflow">return</span> EXIT_SUCCESS;</div><div class="line">}</div></div><!-- fragment --> </div><!-- contents -->
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