Chapter 0 Introduction
0．1 The definitions of Operations Research
0．2 The development history of Operations Research
0．3 The nature of Operations Research
Chapter 1 Linear Programming
1．1 Linear programming problems
1．2 Graphical LP solution
1．3 The standard form of the LP model
1．4 The theory of the simplex method
1．5 Simplex method and simplex tableau
1．6 Determining an initial basic feasible solution
1．7 Degenerate problem
1．8 The revised simplex algorithm
Exercises
Chapter 2 Dual Programming
2．1 Dual programming problem and its mathematical model
2．2 Duality theory
2．3 Dual simplex method
2．4 Shadow price
2．5 Sensitivity analysis
2．6 Parameter linear programming
Exercises
Chapter 3 The Transportation Problem
3．1 The transportation problem model
3．2 The tableau operation method
3．3 The unbalanced transportation problem
Exercises
Chapter 4 Goal Programming
4．1 The mathematical model of goal programming
4．2 Simplex method
Exercises
Chapter 5 Integer Programming
5．1 Mathematical model of integer programming
5．2 Branch-and-bound algorithm
5．3 Cutting-plane algorithm
5．4 The assignment problem and Hungarian Algorithm
Exercises
Chapter 6 Graph Theory
6．1 Graphs and subgraphs
6．2 Trees
6．3 The shortest path problem
6．4 Transportation networks
6．5 Network plan
Exercises
Chapter 7 Dynamic Progamming
7．1 Decision problems with multiple stages
7．2 Forward and backward recursion
Exercises
Chapter 8 Game Theory
8．1 The mathematical model of matrix game
……
鄂公网安备 42010302001612号 