課程名稱 |
水資源系統分析 WATER RESOURCES SYSTEM ANALYSIS |
開課學期 |
98-2 |
授課對象 |
工學院 水利工程組 |
授課教師 |
游景雲 |
課號 |
CIE7040 |
課程識別碼 |
521 M3890 |
班次 |
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學分 |
3 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期三2,3,4(9:10~12:10) |
上課地點 |
土研405 |
備註 |
總人數上限:34人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/982_WRS |
課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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課程概述 |
This course is intended to develop a student’s ability to quantitatively and qualitatively evaluate approaches to water resource management in terms of their technical feasibility, economic merits, and public policy implications. We will discuss the fundamental optimization theories and the application potentials for water resources and environmental systems planning, resources conservation, and pollution control. The operational research techniques, including linear programming, dynamic programming, nonlinear programming, stochastic programming and multi-objective programming, will be introduced. Both engineering and economic principles will be incorporated into optimization exercises that are used as a means of policy analysis. Most examples cover typical planning, design, and operation problems for water resources and environmental infrastructure with regard to complex multidisciplinary decision-making. Water resources system models addressing the interfaces and interactions between the built environment and the natural systems will be emphasized. Students are expected to finish an term-project according to their research interest to demonstrate their understanding of the course contents. |
課程目標 |
1) Introduce water resources systems modeling approach.
2) Classical theory of maxima and minima
3) Linear Programming
4) Nonlinear Programming
5) Dynamic Programming
6) Optimization software
7) Policy instruments and regulation
8) Decision making theory & uncertainty
9) Stochastic programming
10) Discussion of water resource management and planning
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課程要求 |
Homework 30%
Mid-term Exam 30%
Term Project 30%
Participation 10%
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
Course Note |
參考書目 |
1. Daniel P. Loucks, Jery R. Stedinger, Douglas A. Haith, Water Resources Systems Planning and Analysis, , Prentice Hall, 1981
2. D. Luenberger, Linear and Nonlinear Programming, Addison-Wesley.
3. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge,U.K.: Cambridge Univ. Press. Available online: http://www.stanford.edu/~boyd/cvxbook/
4. Loucks DP, van Beek E, Water resources systems planning and management: an introduction to methods, models and applications. UNESCO, 2005 , Paris. Available online: http://ecommons.library.cornell.edu/handle/1813/2804
5. Pike R. Optimization for engineering systems. New York: Van Nostrand Reinhold, 1986.
6. G. V. Reklaitis,A. Ravindran, and K.M. Ragsdell, Engineering optimization methods and application. Wiley, New York, 1983.
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評量方式 (僅供參考) |
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週次 |
日期 |
單元主題 |
第1週 |
2/24 |
Introduction
1. Course Introduction
2. System Concept
3. Water Resources Management and planning
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第2週 |
3/03 |
Basic theory
1. Classical theory of maxima and minima
2. Convexity and conavity
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第3週 |
3/10 |
Linear Programming
1. Introduction and basic property
2. Simplex method
3. Slackness and artificial variables
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第4週 |
3/17 |
Linear Programming
1. Duality Theorem
2. The Dual Simplex Method
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第5週 |
3/24 |
Non-linear Programming
1. Interior method
2. 1st order necessary condition & 2nd order condition
3. Minimization and Maximization of Convex Function
4. Basic descent methods
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第6週 |
3/31 |
Non-linear Programming
1. Conjugate Direction Method
2. Quasi-Newton Methods
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第7週 |
4/07 |
Nonlinear Programming
1. Constrained nonlinear optimization
2. 1st order necessary condition & 2nd order condition
3. Lagrange Multiplier
4. Primal Methods
5. Penalty and Barrier Methods
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第8週 |
4/14 |
Optimization Software
1. Excel Solver
2. GAMS
3. Matlab |
第9週 |
4/21 |
Mid-term exam |
第10週 |
4/28 |
Regulation
1. Government policy tools
2. Pigovian tax & Coase Theorm
3. Regulation & Standards
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第11週 |
5/05 |
Dynamic optimization
1. Optimal control theroy
2. Hoteling rule
3. Dynamic progamming |
第12週 |
5/12 |
Decision Making theory |
第13週 |
5/19 |
Uncertainty & Decision Making |
第14週 |
5/26 |
Stochasitc Porgramming |
第15週 |
6/02 |
Water Resources management's future |
第16週 |
6/09 |
Term project presentation |
第17週 |
6/16 |
Term project presentation |
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