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{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2023-11-23T18:15:26","documenter_version":"1.1.2"}}
{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2023-11-24T17:40:30","documenter_version":"1.1.2"}}
12 changes: 6 additions & 6 deletions dev/algorithms/index.html
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julia> result.cost

3.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/b01c479b36103dc97755f95798d137def09e6e2f/src/OperationsResearchModels.jl#L105-L141">source</a></section></article><h2 id="Transportation-Problem"><a class="docs-heading-anchor" href="#Transportation-Problem">Transportation Problem</a><a id="Transportation-Problem-1"></a><a class="docs-heading-anchor-permalink" href="#Transportation-Problem" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="OperationsResearchModels.solve-Tuple{TransportationProblem}" href="#OperationsResearchModels.solve-Tuple{TransportationProblem}"><code>OperationsResearchModels.solve</code></a><span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">solve(t)</code></pre><p><strong>Arguments</strong></p><p><code>a::TransportationProblem</code>: The problem in type of TransportationProblem</p><p><strong>Output</strong></p><p><code>TransportationResult</code>: The custom data type that holds problem, solution, and optimum cost. </p><p><strong>Description</strong></p><p>Solves a transportation problem given by an object of in type <code>TransportationProblem</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; t = TransportationProblem(
3.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/df3e1a2d40d2698905c0236c3767f369772259e4/src/OperationsResearchModels.jl#L113-L149">source</a></section></article><h2 id="Transportation-Problem"><a class="docs-heading-anchor" href="#Transportation-Problem">Transportation Problem</a><a id="Transportation-Problem-1"></a><a class="docs-heading-anchor-permalink" href="#Transportation-Problem" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="OperationsResearchModels.solve-Tuple{TransportationProblem}" href="#OperationsResearchModels.solve-Tuple{TransportationProblem}"><code>OperationsResearchModels.solve</code></a><span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">solve(t)</code></pre><p><strong>Arguments</strong></p><p><code>a::TransportationProblem</code>: The problem in type of TransportationProblem</p><p><strong>Output</strong></p><p><code>TransportationResult</code>: The custom data type that holds problem, solution, and optimum cost. </p><p><strong>Description</strong></p><p>Solves a transportation problem given by an object of in type <code>TransportationProblem</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; t = TransportationProblem(
[ 1 1 1 1;
2 2 2 2;
3 3 3 3],
@@ -49,7 +49,7 @@
Cost:
600.0
Solution:
[-0.0 -0.0 -0.0 100.0; 100.0 -0.0 -0.0 -0.0; -0.0 -0.0 100.0 -0.0; -0.0 100.0 -0.0 -0.0]</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/b01c479b36103dc97755f95798d137def09e6e2f/src/OperationsResearchModels.jl#L53-L101">source</a></section></article><h2 id="Shortest-Path-and-Maximum-Flow"><a class="docs-heading-anchor" href="#Shortest-Path-and-Maximum-Flow">Shortest Path and Maximum Flow</a><a id="Shortest-Path-and-Maximum-Flow-1"></a><a class="docs-heading-anchor-permalink" href="#Shortest-Path-and-Maximum-Flow" title="Permalink"></a></h2><pre><code class="nohighlight hljs">solve(c::Vector{Connection}; problem::Union{::ShortestPathProblem, ::MaximumFlowProblem} = ShortestPathProblem)</code></pre><h3 id="Arguments"><a class="docs-heading-anchor" href="#Arguments">Arguments</a><a id="Arguments-1"></a><a class="docs-heading-anchor-permalink" href="#Arguments" title="Permalink"></a></h3><ul><li><code>c::Vector{Connection}</code>: Vector of connections </li><li><code>problem</code>: Type of problem. Either <code>ShortestPathProblem</code> or <code>MaximumFlowProblem</code></li></ul><h3 id="Example"><a class="docs-heading-anchor" href="#Example">Example</a><a id="Example-1"></a><a class="docs-heading-anchor-permalink" href="#Example" title="Permalink"></a></h3><pre><code class="language-julia hljs">julia&gt; conns = [
[-0.0 -0.0 -0.0 100.0; 100.0 -0.0 -0.0 -0.0; -0.0 -0.0 100.0 -0.0; -0.0 100.0 -0.0 -0.0]</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/df3e1a2d40d2698905c0236c3767f369772259e4/src/OperationsResearchModels.jl#L61-L109">source</a></section></article><h2 id="Shortest-Path-and-Maximum-Flow"><a class="docs-heading-anchor" href="#Shortest-Path-and-Maximum-Flow">Shortest Path and Maximum Flow</a><a id="Shortest-Path-and-Maximum-Flow-1"></a><a class="docs-heading-anchor-permalink" href="#Shortest-Path-and-Maximum-Flow" title="Permalink"></a></h2><pre><code class="nohighlight hljs">solve(c::Vector{Connection}; problem::Union{::ShortestPathProblem, ::MaximumFlowProblem} = ShortestPathProblem)</code></pre><h3 id="Arguments"><a class="docs-heading-anchor" href="#Arguments">Arguments</a><a id="Arguments-1"></a><a class="docs-heading-anchor-permalink" href="#Arguments" title="Permalink"></a></h3><ul><li><code>c::Vector{Connection}</code>: Vector of connections </li><li><code>problem</code>: Type of problem. Either <code>ShortestPathProblem</code> or <code>MaximumFlowProblem</code></li></ul><h3 id="Example"><a class="docs-heading-anchor" href="#Example">Example</a><a id="Example-1"></a><a class="docs-heading-anchor-permalink" href="#Example" title="Permalink"></a></h3><pre><code class="language-julia hljs">julia&gt; conns = [
Connection(1, 2, 3),
Connection(1, 3, 2),
Connection(1, 4, 4),
@@ -101,7 +101,7 @@
&quot;model&quot; =&gt; A JuMP Model…
&quot;objective&quot; =&gt; 10.5921
&quot;z&quot; =&gt; [-0.0 -0.0 … 0.0 0.0; -0.0 -0.0 … 0.0 0.0; … ; 0.0 0.0 … -0.0 0.0; 0.0 0.0 … 0.0 -0.0]
&quot;y&quot; =&gt; [0.0, -0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, -0.0, 0.0 … 0.0, 0.0, 0.0, -0.0, 1.0, 0.0, -0.0,…</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/b01c479b36103dc97755f95798d137def09e6e2f/src/pmedian.jl#L13-L48">source</a></section></article><h2 id="Minimum-Spanning-Tree"><a class="docs-heading-anchor" href="#Minimum-Spanning-Tree">Minimum Spanning Tree</a><a id="Minimum-Spanning-Tree-1"></a><a class="docs-heading-anchor-permalink" href="#Minimum-Spanning-Tree" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="OperationsResearchModels.MinimumSpanningTree.mst" href="#OperationsResearchModels.MinimumSpanningTree.mst"><code>OperationsResearchModels.MinimumSpanningTree.mst</code></a><span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">mst(connections)</code></pre><p><strong>Arguments</strong></p><ul><li><code>connections::Vector{Connection}</code>: Vector of Connections </li></ul><p><strong>Description</strong></p><p>Obtains the minimum spanning tree. </p><p><strong>Output</strong></p><ul><li><code>::MstResult</code>: A MstResult object that holds the results. </li></ul><p><strong>Examples</strong></p><pre><code class="language-julia hljs">julia&gt; conns = Connection[
&quot;y&quot; =&gt; [0.0, -0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, -0.0, 0.0 … 0.0, 0.0, 0.0, -0.0, 1.0, 0.0, -0.0,…</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/df3e1a2d40d2698905c0236c3767f369772259e4/src/pmedian.jl#L13-L48">source</a></section></article><h2 id="Minimum-Spanning-Tree"><a class="docs-heading-anchor" href="#Minimum-Spanning-Tree">Minimum Spanning Tree</a><a id="Minimum-Spanning-Tree-1"></a><a class="docs-heading-anchor-permalink" href="#Minimum-Spanning-Tree" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="OperationsResearchModels.MinimumSpanningTree.mst" href="#OperationsResearchModels.MinimumSpanningTree.mst"><code>OperationsResearchModels.MinimumSpanningTree.mst</code></a><span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">mst(connections)</code></pre><p><strong>Arguments</strong></p><ul><li><code>connections::Vector{Connection}</code>: Vector of Connections </li></ul><p><strong>Description</strong></p><p>Obtains the minimum spanning tree. </p><p><strong>Output</strong></p><ul><li><code>::MstResult</code>: A MstResult object that holds the results. </li></ul><p><strong>Examples</strong></p><pre><code class="language-julia hljs">julia&gt; conns = Connection[
Connection(1, 2, 10),
Connection(2, 3, 10),
Connection(3, 4, 10),
@@ -124,7 +124,7 @@
3-element Vector{Connection}:
Connection(3, 4, 10, &quot;x34&quot;)
Connection(1, 4, 10, &quot;x14&quot;)
Connection(2, 3, 10, &quot;x23&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/b01c479b36103dc97755f95798d137def09e6e2f/src/mst.jl#L77-L118">source</a></section></article><h2 id="CPM-(Critical-Path-Method)"><a class="docs-heading-anchor" href="#CPM-(Critical-Path-Method)">CPM (Critical Path Method)</a><a id="CPM-(Critical-Path-Method)-1"></a><a class="docs-heading-anchor-permalink" href="#CPM-(Critical-Path-Method)" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="OperationsResearchModels.CPM.cpm" href="#OperationsResearchModels.CPM.cpm"><code>OperationsResearchModels.CPM.cpm</code></a><span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">cpm(activities)</code></pre><p><strong>Arguments</strong></p><ul><li><code>activities::Vector{CpmActivity}</code></li></ul><p><strong>Output</strong></p><ul><li><code>::CpmResult</code>: The object holds the results </li></ul><p><strong>Description</strong></p><p>Calculates CPM (Critical Path Method) and reports the critical path for a given set of activities. </p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; A = CpmActivity(&quot;A&quot;, 2);
Connection(2, 3, 10, &quot;x23&quot;)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/df3e1a2d40d2698905c0236c3767f369772259e4/src/mst.jl#L86-L127">source</a></section></article><h2 id="CPM-(Critical-Path-Method)"><a class="docs-heading-anchor" href="#CPM-(Critical-Path-Method)">CPM (Critical Path Method)</a><a id="CPM-(Critical-Path-Method)-1"></a><a class="docs-heading-anchor-permalink" href="#CPM-(Critical-Path-Method)" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="OperationsResearchModels.CPM.cpm" href="#OperationsResearchModels.CPM.cpm"><code>OperationsResearchModels.CPM.cpm</code></a><span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">cpm(activities)</code></pre><p><strong>Arguments</strong></p><ul><li><code>activities::Vector{CpmActivity}</code></li></ul><p><strong>Output</strong></p><ul><li><code>::CpmResult</code>: The object holds the results </li></ul><p><strong>Description</strong></p><p>Calculates CPM (Critical Path Method) and reports the critical path for a given set of activities. </p><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; A = CpmActivity(&quot;A&quot;, 2);
julia&gt; B = CpmActivity(&quot;B&quot;, 3);
julia&gt; C = CpmActivity(&quot;C&quot;, 2, [A]);
julia&gt; D = CpmActivity(&quot;D&quot;, 3, [B]);
@@ -147,7 +147,7 @@
&quot;I&quot;

julia&gt; result.path == [B, E, G, I]
true</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/b01c479b36103dc97755f95798d137def09e6e2f/src/cpm.jl#L88-L127">source</a></section></article><h2 id="PERT-(Project-Evalutation-and-Review-Technique)"><a class="docs-heading-anchor" href="#PERT-(Project-Evalutation-and-Review-Technique)">PERT (Project Evalutation and Review Technique)</a><a id="PERT-(Project-Evalutation-and-Review-Technique)-1"></a><a class="docs-heading-anchor-permalink" href="#PERT-(Project-Evalutation-and-Review-Technique)" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="OperationsResearchModels.CPM.pert" href="#OperationsResearchModels.CPM.pert"><code>OperationsResearchModels.CPM.pert</code></a><span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">pert(activities)</code></pre><p><strong>Arguments</strong></p><ul><li><code>activities::Vector{PertActivity}</code>: Vector of Pert Activities. </li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; A = PertActivity(&quot;A&quot;, 1, 2, 3)
true</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/df3e1a2d40d2698905c0236c3767f369772259e4/src/cpm.jl#L88-L127">source</a></section></article><h2 id="PERT-(Project-Evalutation-and-Review-Technique)"><a class="docs-heading-anchor" href="#PERT-(Project-Evalutation-and-Review-Technique)">PERT (Project Evalutation and Review Technique)</a><a id="PERT-(Project-Evalutation-and-Review-Technique)-1"></a><a class="docs-heading-anchor-permalink" href="#PERT-(Project-Evalutation-and-Review-Technique)" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="OperationsResearchModels.CPM.pert" href="#OperationsResearchModels.CPM.pert"><code>OperationsResearchModels.CPM.pert</code></a><span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">pert(activities)</code></pre><p><strong>Arguments</strong></p><ul><li><code>activities::Vector{PertActivity}</code>: Vector of Pert Activities. </li></ul><p><strong>Example</strong></p><pre><code class="language-julia hljs">julia&gt; A = PertActivity(&quot;A&quot;, 1, 2, 3)
PertActivity(&quot;A&quot;, 1.0, 2.0, 3.0, PertActivity[])

julia&gt; B = PertActivity(&quot;B&quot;, 3, 3, 3)
@@ -169,4 +169,4 @@
8.0

julia&gt; result.stddev
0.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/b01c479b36103dc97755f95798d137def09e6e2f/src/cpm.jl#L177-L209">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.1.2 on <span class="colophon-date" title="Thursday 23 November 2023 18:15">Thursday 23 November 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
0.0</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/df3e1a2d40d2698905c0236c3767f369772259e4/src/cpm.jl#L180-L212">source</a></section></article></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.1.2 on <span class="colophon-date" title="Friday 24 November 2023 17:40">Friday 24 November 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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<!DOCTYPE html>
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href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="algorithms/">OperationsResearchModels.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li><a class="tocitem" href="algorithms/">Algorithms</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>-</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>-</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/jbytecode/OperationsResearchModels.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/jbytecode/OperationsResearchModels.jl/blob/main/docs/src/index.md" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h2 id="Operations-Research-Models"><a class="docs-heading-anchor" href="#Operations-Research-Models">Operations Research Models</a><a id="Operations-Research-Models-1"></a><a class="docs-heading-anchor-permalink" href="#Operations-Research-Models" title="Permalink"></a></h2><p>The OperationsResearchModels package includes basic Operations Research subjects such as Transportation Problem, Assignment Problem, Minimum Spanning Tree, Shortest Path, Maximum Flow, and p-medians method for selecting location of facilities. </p><p>Package content is incrementaly updated.</p><p>Please refer the Algorithms section for the detailed documentation. </p></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div 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class="content" id="documenter-page"><h2 id="Operations-Research-Models"><a class="docs-heading-anchor" href="#Operations-Research-Models">Operations Research Models</a><a id="Operations-Research-Models-1"></a><a class="docs-heading-anchor-permalink" href="#Operations-Research-Models" title="Permalink"></a></h2><p>The OperationsResearchModels package includes basic Operations Research subjects such as Transportation Problem, Assignment Problem, Minimum Spanning Tree, Shortest Path, Maximum Flow, and p-medians method for selecting location of facilities. </p><p>Package content is incrementaly updated.</p><p>Please refer the Algorithms section for the detailed documentation. </p></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div 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