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== Sponsor ==
== Sponsor ==
[[File:Peese-logo.jpg|Cornell Prof. Fengqi You Research Group |link=https://www.peese.org]]
[[File:Peese-logo.jpg|Cornell Prof. Fengqi You Research Group |link=https://www.peese.org]]
{| id="mp-topbanner" style="width:100%; background:#f6f6f6; margin-top:1.2em; border:1px solid #ddd;"
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<!--        WELCOME TO        -->
{| style="width:100%; border:none; background:none;"
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<div style="font-size:162%; border:none; margin:0; padding:.1em; color:#000;">Welcome to the Cornell University Computational Optimization Open Textbook</div>
This electronic textbook is a student-contributed open-source text covering a variety of topics on process optimization.<br />
'''If you have any comments or suggestions on this open textbook, please contact [https://www.engineering.cornell.edu/faculty-directory/fengqi-you  Professor Fengqi You].'''
|}
|}
<!--        TODAY'S FEATURED ARTICLE; DID YOU KNOW        -->
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{| id="mp-left" style="width:100%; vertical-align:top; background:#f5fffa;"
! style="padding:2px;" | <h2 id="mp-tfa-h2" style="margin:3px; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;">Linear Programming (LP)</h2>
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      <li>[[Duality]]</li>
      <li>[[Simplex algorithm]]</li>
      <li>[[Computational complexity]]</li>
      <li>[[Network flow problem]]</li>
      <li>[[Interior-point method for LP]]</li>
      <li>[[Optimization with absolute values]]</li>
      <li>[[Matrix game (LP for game theory)]]</li>
</div>
|-
! style="padding:2px" | <h2 id="mp-dyk-h2" style="margin:3px; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;">NonLinear Programming (NLP)</h2>
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      <li>[[Line search methods]]</li>
      <li>[[Trust-region methods]]</li>
      <li>[[Interior-point method for NLP]]</li>
      <li>[[Conjugate gradient methods]]</li>
      <li>[[Quasi-Newton methods]]</li>
      <li>[[Quadratic programming]]</li>
      <li>[[Sequential quadratic programming]]</li>
      <li>[[Subgradient optimization]]</li>
      <li>[[Mathematical programming with equilibrium constraints]]</li>
      <li>[[Dynamic optimization]]</li>
      <li>[[Geometric programming]]</li>
      <li>[[Nondifferentiable Optimization]]</li>
</div>
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! style="padding:2px" | <h2 id="mp-dyk-h2" style="margin:3px; background:#cef2e0; font-size:120%; font-weight:bold; border:1px solid #a3bfb1; text-align:left; color:#000; padding:0.2em 0.4em;">Deterministic Global Optimization</h2>
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      <li>[[Exponential transformation]]</li>
      <li>[[Logarithmic transformation]]</li>
      <li>[[McCormick envelopes]]</li>
      <li>[[Piecewise linear approximation]]</li>
      <li>[[Spatial branch and bound method]]</li>
</div>
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      <li>[[Markov decision process]]</li>
      <li>[[Bellman equation]]</li>
      <li>[[Eight step procedures]]</li>
      <li>[[Stochastic dynamic programming]]</li>
</div>
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      <li>[[Facility location problem]]</li>
      <li>[[Traveling salesman problem]]</li>
      <li>[[Portfolio optimization]]</li>
      <li>[[Set covering problem]]</li>
      <li>[[Unit commitment problem]]</li>
      <li>[[Quadratic assignment problem]]</li>
</div>
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! style="padding:2px" | <h2 id="mp-otd-h2" style="margin:3px; background:#cedff2; font-size:120%; font-weight:bold; border:1px solid #a3b0bf; text-align:left; color:#000; padding:0.2em 0.4em;">Mixed-Integer Linear Programming (MILP)</h2>
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      <li>[[Mixed-integer cuts]]</li>
      <li>[[Disjunctive inequalities]]</li>
      <li>[[Lagrangean duality]]</li>
      <li>[[Column generation algorithms]]</li>
      <li>[[Heuristic algorithms]]</li>
      <li>[[Branch and cut]]</li>
      <li>[[Local branching]]</li>
      <li>[[Feasibility pump]]</li>
</div>
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      <li>[[Signomial problems]]</li>
      <li>[[Mixed-integer linear fractional programming (MILFP)]]</li>
      <li>[[Convex Generalized disjunctive programming (GDP)]]</li>
      <li>[[Nonconvex Generalized disjunctive programming (GDP)]]</li>
      <li>[[Branch and bound (BB) for MINLP]]</li>
      <li>[[Branch and cut for MINLP]]</li>
      <li>[[Generalized Benders decomposition (GBD)]]</li>
      <li>[[Outer-approximation (OA)]]</li>
      <li>[[Extended cutting plane (ECP)]]</li>
</div>
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      <li>[[Stochastic programming]]</li>
      <li>[[Chance-constraint method]]</li>
      <li>[[Fuzzy programming]]</li>
      <li>[[Classical robust optimization]]</li>
      <li>[[Distributionally robust optimization]]</li>
      <li>[[Adaptive robust optimization]]</li>
      <li>[[Data driven robust optimization]]</li>
</div>
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      <li>[[Stochastic gradient descent]]</li>
      <li>[[Momentum]]</li>
      <li>[[AdaGrad]]</li>
      <li>[[RMSProp]]</li>
      <li>[[Adam]]</li>
      <li>[[Alternating direction method of multiplier (ADMM)]]</li>
      <li>[[Frank-Wolfe]]</li>
</div>
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      <li>[[Protein folding problem]]</li>
      <li>[[Wing Shape Optimization]]</li>
      <li>[[Optimization in Game Theory]]</li>
      <li>[[Quantum computing for optimization]]</li>
</div>
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== Sponsor ==
[[File:Peese-logo.jpg|Cornell Prof. Fengqi You Research Group |link=https://www.peese.org]]
</noinclude>__NOTOC____NOEDITSECTION__

Revision as of 16:39, 28 September 2020

Welcome to the Cornell University Computational Optimization Open Textbook

This electronic textbook is a student-contributed open-source text covering a variety of topics on process optimization.
If you have any comments or suggestions on this open textbook, please contact Professor Fengqi You.

Linear Programming (LP)

NonLinear Programming (NLP)

Deterministic Global Optimization

Dynamic Programming

Traditional Applications

Mixed-Integer Linear Programming (MILP)

Mixed-Integer NonLinear Programming (MINLP)

Optimization under Uncertainty

Optimization for Machine Learning and Data Analytics

Emerging Applications

Cornell Prof. Fengqi You Research Group

Welcome to the Cornell University Computational Optimization Open Textbook

This electronic textbook is a student-contributed open-source text covering a variety of topics on process optimization.
If you have any comments or suggestions on this open textbook, please contact Professor Fengqi You.

Linear Programming (LP)

NonLinear Programming (NLP)

Deterministic Global Optimization

Dynamic Programming

Traditional Applications

Mixed-Integer Linear Programming (MILP)

Mixed-Integer NonLinear Programming (MINLP)

Optimization under Uncertainty

Optimization for Machine Learning and Data Analytics

Emerging Applications

Cornell Prof. Fengqi You Research Group


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