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general/cheatsheet-julia 4.pdf

@@ -78,9 +78,9 @@
 <link href="../site_libs/quarto-html/quarto-syntax-highlighting-46d4eb725d7d2b8695ccd307f5b3c105.css" rel="stylesheet" class="quarto-color-scheme-extra" id="quarto-text-highlighting-styles">
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@@ -629,7 +629,7 @@ <h1 class="title">JuMP Syntax Cheatsheet</h1>
 
 <section id="basic-setup" class="level1">
 <h1>Basic Setup</h1>
-<div id="1774767d" class="cell" data-execution_count="2">
+<div id="63c236e4" class="cell" data-execution_count="2">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb1"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="im">using</span> <span class="bu">JuMP</span>, <span class="bu">HiGHS</span></span>
 <span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a></span>
 <span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a><span class="co"># Create a model</span></span>
@@ -643,7 +643,7 @@ <h1>Basic Setup</h1>
 <h1>Variables</h1>
 <section id="declaration" class="level2">
 <h2 class="anchored" data-anchor-id="declaration">Declaration</h2>
-<div id="538f1bda" class="cell" data-execution_count="3">
+<div id="dc9cbab1" class="cell" data-execution_count="3">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb2"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Continuous Variables</span></span>
 <span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a><span class="pp">@variable</span>(model, x)                    <span class="co"># Unbounded continuous</span></span>
 <span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a><span class="pp">@variable</span>(model, x <span class="op">&gt;=</span> <span class="fl">0</span>)              <span class="co"># Non-negative continuous</span></span>
@@ -660,7 +660,7 @@ <h2 class="anchored" data-anchor-id="declaration">Declaration</h2>
 </section>
 <section id="containers" class="level2">
 <h2 class="anchored" data-anchor-id="containers">Containers</h2>
-<div id="f526cf5f" class="cell" data-execution_count="4">
+<div id="2d937926" class="cell" data-execution_count="4">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb3"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Arrays</span></span>
 <span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a><span class="pp">@variable</span>(model, x[<span class="fl">1</span><span class="op">:</span><span class="fl">5</span>])              <span class="co"># Array of 5 variables</span></span>
 <span id="cb3-3"><a href="#cb3-3" aria-hidden="true" tabindex="-1"></a><span class="pp">@variable</span>(model, x[<span class="fl">1</span><span class="op">:</span><span class="fl">5</span>] <span class="op">&gt;=</span> <span class="fl">0</span>)         <span class="co"># Non-negative array</span></span>
@@ -681,15 +681,15 @@ <h2 class="anchored" data-anchor-id="containers">Containers</h2>
 <h1>Constraints</h1>
 <section id="declaration-1" class="level2">
 <h2 class="anchored" data-anchor-id="declaration-1">Declaration</h2>
-<div id="c677a665" class="cell" data-execution_count="5">
+<div id="13a0115e" class="cell" data-execution_count="5">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb4"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Basic constraints</span></span>
 <span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a><span class="pp">@constraint</span>(model, con1, <span class="fl">2</span>x <span class="op">+</span> y <span class="op">&lt;=</span> <span class="fl">10</span>)</span>
 <span id="cb4-3"><a href="#cb4-3" aria-hidden="true" tabindex="-1"></a><span class="pp">@constraint</span>(model, con2, x <span class="op">+</span> <span class="fl">2</span>y <span class="op">&gt;=</span> <span class="fl">5</span>)</span></code></pre></div><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></div>
 </div>
 </section>
 <section id="containers-1" class="level2">
 <h2 class="anchored" data-anchor-id="containers-1">Containers</h2>
-<div id="cce2b8a0" class="cell" data-execution_count="6">
+<div id="368f84c3" class="cell" data-execution_count="6">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb5"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Array of variables</span></span>
 <span id="cb5-2"><a href="#cb5-2" aria-hidden="true" tabindex="-1"></a><span class="pp">@variable</span>(model, x[<span class="fl">1</span><span class="op">:</span><span class="fl">5</span>] <span class="op">&gt;=</span> <span class="fl">0</span>)</span>
 <span id="cb5-3"><a href="#cb5-3" aria-hidden="true" tabindex="-1"></a></span>
@@ -712,7 +712,7 @@ <h2 class="anchored" data-anchor-id="containers-1">Containers</h2>
 </section>
 <section id="conditional" class="level2">
 <h2 class="anchored" data-anchor-id="conditional">Conditional</h2>
-<div id="951852d8" class="cell" data-execution_count="7">
+<div id="57c9cf67" class="cell" data-execution_count="7">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb6"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Basic conditional constraint</span></span>
 <span id="cb6-2"><a href="#cb6-2" aria-hidden="true" tabindex="-1"></a><span class="pp">@constraint</span>(model, cond[i<span class="op">=</span><span class="fl">1</span><span class="op">:</span><span class="fl">5</span>; i <span class="op">&gt;</span> <span class="fl">2</span>],</span>
 <span id="cb6-3"><a href="#cb6-3" aria-hidden="true" tabindex="-1"></a>    x[i] <span class="op">&lt;=</span> <span class="fl">10</span></span>
@@ -726,7 +726,7 @@ <h2 class="anchored" data-anchor-id="conditional">Conditional</h2>
 </section>
 <section id="conditions-while-summing" class="level2">
 <h2 class="anchored" data-anchor-id="conditions-while-summing">Conditions while Summing</h2>
-<div id="91caaf42" class="cell" data-execution_count="8">
+<div id="60fe853f" class="cell" data-execution_count="8">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb7"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true" tabindex="-1"></a><span class="pp">@constraint</span>(model, total_sum,</span>
 <span id="cb7-2"><a href="#cb7-2" aria-hidden="true" tabindex="-1"></a>    <span class="fu">sum</span>(x[i] <span class="cf">for</span> i <span class="kw">in</span> <span class="fl">1</span><span class="op">:</span><span class="fl">5</span> <span class="cf">if</span> i <span class="op">&gt;</span> <span class="fl">2</span>) <span class="op">&lt;=</span> <span class="fl">500</span></span>
 <span id="cb7-3"><a href="#cb7-3" aria-hidden="true" tabindex="-1"></a>)</span>
@@ -752,7 +752,7 @@ <h2 class="anchored" data-anchor-id="key-points-for-constraints">Key Points for
 <h1>Objective Function</h1>
 <section id="declaration-2" class="level2">
 <h2 class="anchored" data-anchor-id="declaration-2">Declaration</h2>
-<div id="ae870160" class="cell" data-execution_count="9">
+<div id="de38f848" class="cell" data-execution_count="9">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb8"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb8-1"><a href="#cb8-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Maximize objective</span></span>
 <span id="cb8-2"><a href="#cb8-2" aria-hidden="true" tabindex="-1"></a><span class="pp">@objective</span>(model, Max, <span class="fl">5</span>x <span class="op">+</span> <span class="fl">3</span>y)</span>
 <span id="cb8-3"><a href="#cb8-3" aria-hidden="true" tabindex="-1"></a></span>
@@ -762,7 +762,7 @@ <h2 class="anchored" data-anchor-id="declaration-2">Declaration</h2>
 </section>
 <section id="containers-2" class="level2">
 <h2 class="anchored" data-anchor-id="containers-2">Containers</h2>
-<div id="7c338e01" class="cell" data-execution_count="10">
+<div id="f9d39b68" class="cell" data-execution_count="10">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb9"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Container objective</span></span>
 <span id="cb9-2"><a href="#cb9-2" aria-hidden="true" tabindex="-1"></a><span class="pp">@variable</span>(model, z[<span class="fl">1</span><span class="op">:</span><span class="fl">10</span>])</span>
 <span id="cb9-3"><a href="#cb9-3" aria-hidden="true" tabindex="-1"></a><span class="pp">@objective</span>(model, Min, <span class="fu">sum</span>(z[i] <span class="cf">for</span> i <span class="kw">in</span> <span class="fl">1</span><span class="op">:</span><span class="fl">10</span>))</span>
@@ -788,7 +788,7 @@ <h2 class="anchored" data-anchor-id="key-points">Key Points</h2>
 <h1>Additional Features</h1>
 <section id="checking-bounds" class="level2">
 <h2 class="anchored" data-anchor-id="checking-bounds">Checking Bounds</h2>
-<div id="f134f53e" class="cell" data-execution_count="11">
+<div id="4cc85744" class="cell" data-execution_count="11">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb10"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb10-1"><a href="#cb10-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Checking bounds</span></span>
 <span id="cb10-2"><a href="#cb10-2" aria-hidden="true" tabindex="-1"></a><span class="fu">has_lower_bound</span>(x)                    <span class="co"># Check if lower bound exists</span></span>
 <span id="cb10-3"><a href="#cb10-3" aria-hidden="true" tabindex="-1"></a><span class="fu">has_upper_bound</span>(x)                    <span class="co"># Check if upper bound exists</span></span>
@@ -798,7 +798,7 @@ <h2 class="anchored" data-anchor-id="checking-bounds">Checking Bounds</h2>
 </section>
 <section id="checking-properties" class="level2">
 <h2 class="anchored" data-anchor-id="checking-properties">Checking Properties</h2>
-<div id="410f3141" class="cell" data-execution_count="12">
+<div id="7ec0f014" class="cell" data-execution_count="12">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb11"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb11-1"><a href="#cb11-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Check variable type</span></span>
 <span id="cb11-2"><a href="#cb11-2" aria-hidden="true" tabindex="-1"></a><span class="fu">is_binary</span>(x)                          <span class="co"># Is variable binary?</span></span>
 <span id="cb11-3"><a href="#cb11-3" aria-hidden="true" tabindex="-1"></a><span class="fu">is_integer</span>(x)                         <span class="co"># Is variable integer?</span></span>
@@ -813,7 +813,7 @@ <h2 class="anchored" data-anchor-id="checking-properties">Checking Properties</h
 </section>
 <section id="solver-options" class="level1">
 <h1>Solver Options</h1>
-<div id="a41bd286" class="cell" data-execution_count="13">
+<div id="12560da3" class="cell" data-execution_count="13">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb12"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb12-1"><a href="#cb12-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Create model with solver</span></span>
 <span id="cb12-2"><a href="#cb12-2" aria-hidden="true" tabindex="-1"></a>model <span class="op">=</span> <span class="fu">Model</span>(HiGHS.Optimizer)</span>
 <span id="cb12-3"><a href="#cb12-3" aria-hidden="true" tabindex="-1"></a></span>
@@ -831,7 +831,7 @@ <h1>Solver Options</h1>
 </div>
 <section id="solution-status-checks" class="level2">
 <h2 class="anchored" data-anchor-id="solution-status-checks">Solution Status Checks</h2>
-<div id="878834f1" class="cell" data-execution_count="14">
+<div id="4d5745e9" class="cell" data-execution_count="14">
 <div class="code-copy-outer-scaffold"><div class="sourceCode cell-code" id="cb13"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb13-1"><a href="#cb13-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Check solution status</span></span>
 <span id="cb13-2"><a href="#cb13-2" aria-hidden="true" tabindex="-1"></a>status <span class="op">=</span> <span class="fu">termination_status</span>(model)    <span class="co"># Get solution status</span></span>
 <span id="cb13-3"><a href="#cb13-3" aria-hidden="true" tabindex="-1"></a>is_optimal <span class="op">=</span> status <span class="op">==</span> MOI.OPTIMAL    <span class="co"># Check if optimal</span></span>

general/cheatsheet-julia.pdf

@@ -42,9 +42,9 @@
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