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  商品編號: unc0081d
  商品名稱: 作業研究(二) 全27講 運輸科技與管理學系 國立交通大學 繁體中文 DVD 只於電腦播放
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作業研究(二) 全27講 運輸科技與管理學系 國立交通大學 繁體中文 DVD 只於電腦播放


本課程是由交通大學運輸科技與管理系提供。

This is the second course that introduces deterministic and probabilistic optimization models such as dynamic programming, integer programming, nonlinear programming, Markov chain and queueing theory. This course focuses on modeling approaches, fundamental solution methodologies and their applications to the real world.

授課教師運輸科技與管理學系王晉元老師

授課時數 每週3小時

授課學分 3學分

授課學年 97學年度

授課對象 大學二年級學生

預備知識 Calculus 與Probability Theory

課程目標/概述

This is the second course that introduces deterministic and probabilistic optimization models such as dynamic programming, integer programming, nonlinear programming, Markov chain and queueing theory. This course focuses on modeling approaches, fundamental solution methodologies and their applications to the real world.

課程章節

課程章節 單元主題
第10章 Dynamic Programming
10.1 A Prototype Example for Dynamic Programming
10.2 Characteristics of Dynamic Programming Problems
10.3 Deterministic Dynamic Programming ─ Example 4改為簡單案例
10.4 Probabilistic Dynamic Programming ─ 僅教Example 6
第11章 Integer Programming
11.1 Prototype Example
11.2 Some BIP Applications
11.3 Innovative Uses of Binary Variables in Model Formulation
11.4 Some Formulation Examples
11.5 Some Perspectives on Solving Integer Programming Problem
11.6 The Branch-and-Bound Technique and its Application to Binary integer Programming
11.7 A Branch-and-Bounds Algorithm for the Mixed Integer Programming
第12章 Review of basic probability
Review Calculus
12.1 Sample applications
12.2 Graphical Illustration of Nonlinear Programming Problems
12.3 Types of Nonlinear Programming Problems
12.4 One-Variable Unconstrained Optimization
Appendix 3: Constrained Optimization with Equality Constraints
12.5 Multivariable Unconstrained Optimization
12.6 The Karush-Kuhn-Tucker(KKT) Conditions for Constrained Optimization
12.7 Quadratic Programming
第16章 Probabilistic Inventory Models
Review Probability Theory
16.1 Stochastic Processes
16.2 Markov Chains
16.3 Chapman-Kolmogorov Equations 
16.4 Classification of States of a Markov Chain
16.5 Long-Run Properties of A Markov Chain
16.6 First Passage Times
16.7 Absorbing States
第17章 Queueing Theory
17.1 Prototype Example
17.2 Basic Structure of Queuing Models
17.3 Examples of Real Queuing Systems
17.4 The Role of the Exponential Distribution
17.5 The Birth-and-Death Process
17.6 Queuing Models Based on the Birth-and-Death Process
17.7 Queuing Models involving Nonexponential Distributions
17.8 Priority-Discipline Queuing Models
17.9 Queuing Networks
17.10 The Application of Queuing Theory
第20章 Simulation (option)
20.1 Simulations
20.2 Simulations
20.3 Simulations
20.4 Simulations

課程書目

FS Hillier and GJ Lieberman, Introduction to Operations Research, 8th edition, 2005, McGraw-Hill Inc.