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# BCA Semester-IV^{th} - Optimization Techniques Syllabus

Here you will find the syllabus of fourth subject in BCA Semester-IV^{th},
which is Optimization Techniques.

**Important** - The syllabus may vary from college to college.

## Optimization Techniques Units

This course/subject is divided into total of 5 units as given below:

- Linear Programming
- Queuing Theory
- Replacement Theory
- Inventory Theory
- Job Sequencing

Now let's expand the above listed units with its syllabus.

## Unit-I Syllabus - Linear Programming

Here are the list of topics that comes under the syllabus of unit-I, that is linear programming:

- Central Problem of linear Programming
- Various definitions including Statements of basic theorem and also their properties
- Simplex methods
- Primal and dual simplex method
- Transport problem
- Tic-Tac problem and its solution
- Assignment problem and its solution
- Graphical Method Formulation
- Linear Programming Problem

## Unit-II Syllabus - Queuing Theory

Here are the list of topics that comes under the syllabus of unit-II, that is queuing theory:

- Characteristics of queuing system
- Classification of Queuing Model Single Channel Queuing Theory
- Generalization of steady state M/M/1 queuing models (Model-I, Model-II)

## Unit-III Syllabus - Replacement Theory

Here are the list of topics that comes under the syllabus of unit-III, that is replacement theory:

- Replacement of item that deteriorates replacement of items that fail
- Group replacement and individual replacement

## Unit-IV Syllabus - Inventory Theory

Here are the list of topics that comes under the syllabus of unit-IV, that is inventory theory:

- Cost involved in inventory problem
- Single item deterministic model economics
- Long size model without shortage and with shortage
- Having production rate infinite and finite

## Unit-V Syllabus - Job Sequencing

Here are the list of topics that comes under the syllabus of unit-V, that is job sequencing:

- Introduction
- Solution of sequencing problem
- Johnson's algorithm for n jobs through 2 machines

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