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Southwest Jiaotong University School of Mathematics

学术交流

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刘军博士学术讨论班

澳门金莎娱乐网站:   编辑:杨晗     日期:2013-06-29 00:00:00   点击数:  

刘军博士自2005年以来任英国北爱尔兰奥斯特大学(Ulster University)Jordanstown校区计算与澳门金莎娱乐网站几乎最年轻(仅有1位比他年轻)的讲师,也是奥斯特大学计算机科学研究所(CSRI)的核心研究成员。在此之前,他20022月—200412月,在英国曼彻斯特大学管理学院做博士后研究,20003月—20022月,在比利时国家核研究中心(SCK?CEN)做博士后研究。他分别于1993年,1996年获得中国西南交通大学应用数学的学士和硕士学位,并于1999年获得中国西南交通大学交通信息工程及控制专业的博士学位,师从澳门金莎娱乐网站徐扬教授。

讨论班地址:九里校区1409. 计划如下:

Summer Short-Term Teaching and Research Seminars Plan

Module Title:   

Advanced Operational Research

Year/Term: 2013/Summer

Module Coordinator: Dr Jun Liu



Sessions

Dates

Hours

Topics

1

Tuesday, 2nd July, 2013

9-12am

Introduction to Operational Research

(State ofArtoverview. Why OR and case studies illustration of applications)

2

Tuesday, 2nd July, 2013

2:30-5:30pm

Linear Programming

(Theory insight of Linear Programming. Algebraic derivation of the Simplex Method. The big-M method)

Duality

(The Duality theorem. The Dual Simplex Method)

3

Wednesday, 3rd July, 2013

9:30-12am

Topic 1: xxx (by Prof Luis Martínez López)

Topic 2: xxx (by Dr Jun Liu)

4

Wednesday, 3rd July, 2013

2:30-5:30pm

Integer Programming

(Cutting planes. The all-integer and the mixed integer-continuous variable methods. Branch-and-bound)

Dynamic Programming

(Bellman's method. Successive approximations. Applications of Dynamic Programming to other problems such as the knapsack problem)

5

Monday, 8th July, 2013

9-12am

Artificial Intelligence and OR

(The AI approach. NP-completeness and the travelling salesman problem. Heuristic optimisation methods, simulated annealing, tabu searches)

6

Monday, 8th July, 2013

2:30-5:30pm

Artificial Intelligence and OR

(Genetic Algorithms; Artificial Neural Network and Knowledge-Based Systems)

7

Tuesday, 9th July, 2013

9-12am

Markov Chains

(Definitions and examples. The Chapman- Kolmogorov equations. Steady-state solutions. Classification of states. The Perron-Frobenius theorems. Reducibility, communication, periodicity, recurrent and absorbing states)

8

Tuesday, 9th July, 2013

2:30-5:30pm

The Poisson Process

(Distribution of the number of events in a time interval and the inter-event time)

9

Tuesday, 10th July, 2013

9-12am

Queuing Theory

(The stationary and time dependent M/M/1 queue. The M/G/1 queue. More advanced queuing models)

10

Tuesday, 10th July, 2013

2:30-5:30pm

Simulation

(Generation of pseudo-random numbers and variables. Simulation of Markov Chains and Queues. Simulation languages)

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