Linear programming and theory of games 9781642874815
132 31 4MB
English Pages [531] Year 2020
Table of contents :
Cover
Preface to the Central Edition
Preface to the First Edition
Contents
1 Mathematical Background
2 Motivation and Mathematical Formulation of Linear Programming Problems
3 Slack and Surplus Variables
4 Basic Solutions of a Set of Simultaneous Linear Equations
5 N-Dimensional Euclidean Space and Convex Set
6 Fundamental Properties of Simplex Method
7 Graphical or Geometrical Method of Solving a L.P.P.
8 Simplex Method or Simplex Algorithm (I)
9 Simplex Method or Simplex Algorithm (II)
10 Simplex Method or Simplex Algorithm (III)
11 Resolution of Degeneracy
12 Duality Theory
13 Transportation, Assignment and Travelling Salesman Problems
14 Revised Simplex Algorithm
15 Dual Simplex Method
16 Sensitivity Analysis
17 Parametric Programming
18 Integer Programming
19 Theory of Games
20 Queuing (Deterministic and probabilistic) Models
A Development of the Simplex Theory
Cover
Preface to the Central Edition
Preface to the First Edition
Contents
1 Mathematical Background
2 Motivation and Mathematical Formulation of Linear Programming Problems
3 Slack and Surplus Variables
4 Basic Solutions of a Set of Simultaneous Linear Equations
5 N-Dimensional Euclidean Space and Convex Set
6 Fundamental Properties of Simplex Method
7 Graphical or Geometrical Method of Solving a L.P.P.
8 Simplex Method or Simplex Algorithm (I)
9 Simplex Method or Simplex Algorithm (II)
10 Simplex Method or Simplex Algorithm (III)
11 Resolution of Degeneracy
12 Duality Theory
13 Transportation, Assignment and Travelling Salesman Problems
14 Revised Simplex Algorithm
15 Dual Simplex Method
16 Sensitivity Analysis
17 Parametric Programming
18 Integer Programming
19 Theory of Games
20 Queuing (Deterministic and probabilistic) Models
A Development of the Simplex Theory
- Author / Uploaded
- Karak P.M.
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