Optimization Techniques: Linear, Integer and Dynamic Programming Lecture Notes

Shared by SteadyAtlas9417 October 22, 2026 PDF
Computer Science Mathematics 4 pages $4
Page 1 shows the title '09NN01 Optimization Techniques' and a list of topics.
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About this document

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4 pages
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Subject
Computer Science, Mathematics

This document covers various optimization techniques, including linear, non-linear, integer, and dynamic programming. It also discusses PERT/CPM and non-traditional techniques like genetic algorithms. It is useful for understanding different methods of optimization.

What's inside

  • Linear Programming: Graphical method, Simplex method, Duality
  • Non-Linear Programming: Unconstrained optimization, Descent methods
  • Integer and Dynamic Programming: Formulation, Gomory’s methods
  • PERT/CPM: Network Construction, Crashing, Resource analysis
  • Non-Traditional Techniques: Genetic Algorithm, Simulated Annealing

Who it is for: Students studying optimization techniques in Computer Science. (Postgraduate)

#dynamic programming #genetic algorithms #integer programming #linear programming #non-linear programming #optimization techniques #pert/cpm

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Summary

Optimization techniques are methods for finding the best solution from a set of possible choices. Students learn about different types of optimization problems and how to solve them.

Linear Programming

Linear programming is used to optimize a linear objective function. Methods include the graphical method, simplex method, and duality in linear programming. Applications include transportation and assignment problems.

Non-Linear Programming

Non-linear programming deals with optimizing non-linear functions. Techniques include unconstrained optimization, direct search methods, and descent methods. Constrained optimization is also covered.

Integer and Dynamic Programming

Integer programming involves problems where variables must be integers. Methods include Gomory’s cutting plane and branch and bound techniques. Dynamic programming uses Bellman’s principle of optimality to solve problems.

Network Scheduling

PERT and CPM are used for network scheduling. Topics include network construction, float times, crashing, and resource analysis. Optimistic, most likely, pessimistic, and expected times are computed.

Key terms

Simplex method
A method for solving linear programming problems.
Gomory’s cutting plane
A method for solving integer programming problems.
Bellman’s principle of optimality
A principle used in dynamic programming to make a choice.
PERT
A method used for planning and controlling projects.
Non-linear programming
Optimization of non-linear functions.
Network scheduling
Planning and controlling projects using networks.

Questions this document helps with

  • How do you solve linear programming problems?
  • What is the difference between integer and dynamic programming?
  • How do you use Bellman’s principle of optimality?

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