Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2019	255887	Optimization Design	1	3.0	3	▲	LI, CHIH-HUNG	4ME3B	43	1

Course Plan：

Instructor	LI, CHIH-HUNG
Email	cl4e@mail.ntut.edu.tw
Last Updated	2019-02-19 18:19:48
Course Objective	最佳化問題簡介。梯度法。線性規劃問題。無限制條件數值解法。有限制條件數值解法。非梯度法。其他最佳化設計法。多重領域系統設計最佳化等等。 Introduction of optimization problem, gradient method, linear programming problem, numerical methods for problems with no constraints, numerical methods for problems with constraints, non-gradient methods, other optimization design methods, multidisciplinary system design optimization
Course Schedule	第一週 最佳化設計介紹(1.1-1.3, 2.2)/Introduction of design optimization 第二週 無限制條件最佳解(3.1-3.2)/Unconstrained minimization 第三週 有限制條件最佳解(5.1-5.2)/Constrained minimization 第四週 有限制條件最佳解(5.3-5.4)/Constrained minimization 第五週 高斯喬登消去法及凸集(1.4, 2.2, 3.3, 5.5)/Gauss-Jordan elimination, Convesity 第六週 線性規劃問題(4.1-4.2)/Linear programming 第七週 線性規劃問題(4.3)/Linear programming 第八週 無限制條件數值解法(2.3-2.5)/Unconstrained minimization with numerical method 第九週 期中考/Mid-term examination 第十週 無限制條件數值解法(3.4-3.5最陡下降法)/Unconstrained minimization with numerical method (Gradient descent) 第十一週 無限制條件數值解法(3.6共軛梯度法、3.7牛頓法)/ Unconstrained minimization with numerical method (Conjugate gradient method, Newton’s method) 第十二週 有限制條件數值解法(6.1、逐次無制限極小化法、6.2懲罰函數法、6.3障礙函數法)/Constrained minimization with numerical method/(Sequential unconstrained minimization method, penalty function method, barrier function method) 第十三週 有限制條件數值解法(逐次線性規劃法、5.10逐次二次規劃法)/Constrained minimization with numerical method (Sequential linear programming, Sequential quadratic programming) 第十四週 非梯度法(7.1、7.2地毯搜尋法、隨機跳躍法、隨機漫步法)/Non-gradient method( 第十五週 非梯度法(7.7模擬退火法、8.1-8.4整數規劃法) /Non-gradient method (Simulated annealing, Integer and discrete programming) 第十六週 非梯度法(7.8基因演算法) /Non-gradient method (Genetic algorithm) 第十七週 強化學習法/Reinforcement learning 第十八週 期末考試/Final examination
Evaluation and grading policy	作業或小考/homework and quiz:20% 期中考/mid-term examination:30% 期末考/final examination:30% 出席率/attendance:20%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 教材: Ashok D. Belegundu, Tirupathi R. Chandrupatla, "Optimization Concepts and Applications in Engineering", ISBN 986-7594-27-4, Pearson 參考書目: Panos Y. Papalambros and Douglass J. Wilde, “Principles of Optimal Design–Modeling and Computation”, 2nd edition, ISBN 0 521 62727 3, (paperback), Cambridge University Press, 2000 –Recommended
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