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dev/algorithms/admm/index.html

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u^{k+1}
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&= u^k + \bar{x}^{\,k+1} - z^{k+1}.
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\end{align}\]</p><p>To instantiate a coordinator for the sharing form, use <a href="../../api/#DistributedResourceOptimization.create_sharing_admm_coordinator-Tuple{ADMMGlobalObjective}"><code>create_sharing_admm_coordinator</code></a>. To start the negotiation you can use <a href="algorithms/@ref"><code>create_admm_start</code></a>.</p><h1 id="Local-Models"><a class="docs-heading-anchor" href="#Local-Models">Local Models</a><a id="Local-Models-1"></a><a class="docs-heading-anchor-permalink" href="#Local-Models" title="Permalink"></a></h1><h2 id="Flexibility-Actor"><a class="docs-heading-anchor" href="#Flexibility-Actor">Flexibility Actor</a><a id="Flexibility-Actor-1"></a><a class="docs-heading-anchor-permalink" href="#Flexibility-Actor" title="Permalink"></a></h2><p>Each local actor <code>ì</code><code>has some flexibility of</code><code>m</code><code>resources and a decision on the provided flexibility</code><code>x_i</code>`. The decision is constrained by</p><ul><li>lower and upper bounds <span>$l_i \leq x_i \leq u_i$</span></li><li>coupling constraints <span>$C_i x_i\leq d_i$</span></li><li>linear penalites <span>$S_i$</span> for priorization</li></ul><p>To instantiate a flexibility actor use <a href="../../api/#DistributedResourceOptimization.create_admm_flex_actor_one_to_many"><code>create_admm_flex_actor_one_to_many</code></a>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../getting_started/">« Getting Started</a><a class="docs-footer-nextpage" href="../cohda/">COHDA »</a><div class="flexbox-break"></div><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></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 20 October 2025 12:21">Monday 20 October 2025</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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\end{align}\]</p><p>To instantiate a coordinator for the sharing form, use <a href="../../api/#DistributedResourceOptimization.create_sharing_admm_coordinator-Tuple{ADMMGlobalObjective}"><code>create_sharing_admm_coordinator</code></a>. To start the negotiation you can use <a href="algorithms/@ref"><code>create_admm_start</code></a>.</p><h1 id="Local-Models"><a class="docs-heading-anchor" href="#Local-Models">Local Models</a><a id="Local-Models-1"></a><a class="docs-heading-anchor-permalink" href="#Local-Models" title="Permalink"></a></h1><h2 id="Flexibility-Actor"><a class="docs-heading-anchor" href="#Flexibility-Actor">Flexibility Actor</a><a id="Flexibility-Actor-1"></a><a class="docs-heading-anchor-permalink" href="#Flexibility-Actor" title="Permalink"></a></h2><p>Each local actor <code>ì</code><code>has some flexibility of</code><code>m</code><code>resources and a decision on the provided flexibility</code><code>x_i</code>`. The decision is constrained by</p><ul><li>lower and upper bounds <span>$l_i \leq x_i \leq u_i$</span></li><li>coupling constraints <span>$C_i x_i\leq d_i$</span></li><li>linear penalites <span>$S_i$</span> for priorization</li></ul><p>To instantiate a flexibility actor use <a href="../../api/#DistributedResourceOptimization.create_admm_flex_actor_one_to_many"><code>create_admm_flex_actor_one_to_many</code></a>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../getting_started/">« Getting Started</a><a class="docs-footer-nextpage" href="../cohda/">COHDA »</a><div class="flexbox-break"></div><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></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 20 October 2025 12:29">Monday 20 October 2025</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/algorithms/cohda/index.html

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&amp;\text{with } \sum_{j=1}^{M}x_{{\rm i,j}} = 1\\
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&amp;x_{{\rm i,j}}\in\left\{0,\,1\right\},~i=1,\,\dots,\,N,~j=1,\,\dots,\,M.
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\end{split}
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\end{equation}\]</p><p>To use COHDA <a href="algorithms/@ref"><code>create_cohda_participant</code></a> and <a href="algorithms/@ref"><code>create_cohda_start_message</code></a> can be used.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../admm/">« ADMM</a><a class="docs-footer-nextpage" href="../../carrier/simple/">Simple »</a><div class="flexbox-break"></div><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></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 20 October 2025 12:21">Monday 20 October 2025</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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\end{equation}\]</p><p>To use COHDA <a href="algorithms/@ref"><code>create_cohda_participant</code></a> and <a href="algorithms/@ref"><code>create_cohda_start_message</code></a> can be used.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../admm/">« ADMM</a><a class="docs-footer-nextpage" href="../../carrier/simple/">Simple »</a><div class="flexbox-break"></div><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></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 20 October 2025 12:29">Monday 20 October 2025</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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