課程名稱 |
水資源系統分析 Water Resources System Analysis |
開課學期 |
99-2 |
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 |
星期二6,7,8(13:20~16:20) |
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/992wrs |
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 |
Assignments 40%
Mid-term Exam 25%
Term Project 35%
Participation 5%
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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 |
Class Note |
參考書目 |
1. 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
2. Luenberger D., Linear and Nonlinear Programming, Addison-Wesley.
3. Miranda, Mario J. and Paul Fackler, Applied Computational Economics and
Finance, MIT Press: Cambridge, MA, 2002
4. Daniel P. Loucks, Jery R. Stedinger, Douglas A. Haith, Water Resources
Systems Planning and Analysis , Prentice Hall, 1981
5. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge,U.K.: Cambridge
Univ. Press. Available online: http://www.stanford.edu/~boyd/cvxbook/
6. Pike R. Optimization for engineering systems. New York: Van Nostrand
Reinhold, 1986. Available online: http://www.mpri.lsu.edu/bookindex.html
7. 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 |
2/22 |
Introduction
1. Course Introduction
2. System Concept
3. Water Resources Management and planning
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第2週 |
3/01 |
Basic theory
1. Classical theory of maxima and minima
2. Example of simple optimization
Software Installation
1. Excel
2. GAMS
3. Matlab
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第3週 |
3/08 |
Issue of Water Resources System Problem: Quantity
Basic theory: Linearity & Nonlinearity
Using computer to solve optimization problem : Excel Solver
Using computer to solve optimization problem : GAMS
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第4週 |
3/15 |
Mathematic background: Convexity and concavity
Some Applications
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第5週 |
3/22 |
Linear Programming
1. Introduction and basic property
2. Simplex method
3. Slackness and artificial variables
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第6週 |
3/29 |
Linear Programming
1. Duality Theorem
2. The Dual Simplex Method
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第7週 |
4/05 |
No Class |
第8週 |
4/12 |
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.
5. Conjugate Direction Method
6. Quasi-Newton Methods
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第9週 |
4/19 |
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10週 |
4/26 |
Regulation
1. Government policy tools
2. Pigovian tax & Coase Theorem
3. Regulation & Standards
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第11週 |
5/03 |
Regulation 1. Government policy tools 2. Pigovian tax & Coase Theorem 3. Regulation & Standards |
第12週 |
5/10 |
Dynamic optimization
1. Optimal control theory
2. Hoteling rule
3. Dynamic programming
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第13週 |
5/17 |
Water Right Issue
1. Riparian Doctrine
2. Prior Appropriation Doctrine
3. Public Trust Doctrine
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第14週 |
5/24 |
Decision Making theory |
第15週 |
5/31 |
Uncertainty & Decision Making
Stochastic Programming
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第16週 |
6/07 |
Multi-Attribute Decision Making (MADM) |
第17週 |
6/14 |
Water Resources management's future |
第18週 |
6/21 |
Term Project Presentation |
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