Date: 31st Jan 2023

In these “operations research notes pdf”, we will study the broad and in-depth knowledge of a range of operation research models and techniques, which can be applied to a variety of industrial applications.

We have provided multiple complete operations research notes pdf for any university student of BCA, MCA, BSc, Msc, Btech CSE, Mtech branch to enhance more knowledge about the subject and to score better marks in the exam. Students can easily make use of all these operations research notes pdf free download.

Topics in our Operations research lecture notes pdf

The topics we will cover in these Operations research lecture notes pdf will be taken from the following list:

Introduction to Operations Research: Introduction, Historical Background, Scope of Operations Research, Features of Operations Research, Phases of Operations Research, Types of Operations Research Models, Operations Research Methodology, Operations Research Techniques and Tools, Structure of the Mathematical Model, Limitations of Operations Research

Linear Programming: Introduction, Linear Programming Problem, Requirements of LPP, Mathematical Formulation of LPP, Case Studies of LPP, Graphical Methods to Solve Linear Programming Problems, Applications, Advantages, Limitations

Graphical Analysis of Linear Programming Problems: Introduction, Graphical Analysis, Some Basic Definitions, Graphical Methods to Solve LPP, Some Exceptional Cases, Important Geometric Properties of LPP

Simplex Method: Introduction, Standard Form of LPP, Fundamental theorem of LPP, Solution of LPP – Simplex Method, The Simplex Algorithm, Penalty Cost Method or Big M-method, Two-Phase Method, Solved Problems on Minimisation

Duality in Linear Programming Problem: Introduction, Importance of Duality Concepts, Formulation of Dual Problem, Economic Interpretation of Duality, Sensitivity Analysis.

Transportation Problem: Introduction, Formulation of Transportation Problem (TP), Transportation Algorithm (MODI Method), the Initial Basic Feasible Solution, Moving Towards Optimality

Assignment Problem: Introduction, Mathematical Formulation of the Problem, Hungarian Method Algorithm, Routing Problem, Travelling Salesman Problem

Integer Programming Problem: Introduction, Types of Integer Programming Problems, Gomory’s All-IPP Method, All IPP Algorithm, Branch and Bound Technique

Infinite Queuing Models: Introduction, Queuing Theory, Operating Characteristics of a Queuing System, Constituents of a Queuing System, Service Facility, Queue Discipline

Mathematical Analysis of Queuing Theory: Introduction, Mathematical Analysis of Queuing Process, Properties of Queuing System, Notations, Service System, Single Channel Models, Multiple Service Channels, Erlang Family of Distribution of Service Times, Applications of Queuing Theory, Limitations of Queuing Theory

Finite Queuing Models: Introduction, Finite Queuing Models

Simulation: Introduction, Methodology of Simulation, Basic Concepts, Simulation Procedure, Application of Simulation

Simulation Monte-Carlo Method: Introduction, Monte-Carlo Simulation, Applications of Simulation, Advantages of Simulation, Limitations of Simulation

Project Scheduling and PERT-CPM: Introduction, Basic Difference between PERT and CPM, PERT/CPM Network Components and Precedence Relationship, Project Management – PERT

Game Theory: Introduction, Competitive Situations, Characteristics of Competitive Games, Maximin – Minimax Principle, Dominance.

Operation research notes pdf
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College: KMV (DU)

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### Operational Research Reference Books List

We have listed the best Operational Research Reference Books that can help in your Operational Research exam preparation:

• Hamdy A Taha, 1999. Introduction to Operations Research, PHI Limited, New Delhi.
• Sharma, J.K., 1989. Mathematical Models in Operations Research, TMH
• Beer, Stafford, 1966. Decision and Control, John Wiley & Sons, New York.
• Levin, Rubin, Stinson, Gardner, 1992. Quantitative Approaches to Management, TMH
• Wagner, Harvery M., 1975. Principles of Operations Research, PHI, Egnlewood Cliffs, N.J.

## What is Operational Research ?

Operations research (OR) is an analytical method of problem-solving and decision-making that is useful in the management of organizations. In operations research, problems are broken down into basic components and then solved in defined steps by mathematical analysis.

## What is Linear Programming ?

Linear programming is a powerful quantitative technique (or operational research technique) designs to solve allocation problem.

## What are Decision Variables ?

The decision variables refer to the economic or physical quantities, which are competing with one another for sharing the given limited resources.

## What is Objective function ?

The objective function of a linear programming problem is a linear function of the decision variable expressing the objective of the decision maker.

## What are Constraints ?

The constraints indicate limitations on the resources, which are to be allocated among various decision variables.

## What is non-negativity restriction ?

Non-negativity restriction indicates that all decision variables must take on values equal to or greater than zero

## What is Divisibility ?

Divisibility means that the numerical values of the decision variables are continuous and not limited to integers.

### Computer Science Notes

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