## Operational Research Notes PDF

Topics in our Operational Research Notes PDF

In these “Operational Research Notes PDF”, you 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

The topics we will cover in these Operational Research Lecture Notes PDF will be taken from the following list:

Introduction to Operations Research: Basics definition, scope, objectives, phases, models, and limitations of Operations Research. Linear Programming Problem – Formulation of LPP, Graphical solution of LPP. Simple Method, Artificial variables, big-M method, two-phase method, degeneracy, and unbound solutions.

Transportation Problem: Formulation, solution, unbalanced Transportation problem. Finding basic feasible solutions – Northwest corner rule, least cost method, and Vogel’s approximation method. Optimality test: the stepping stone method and MODI method.

Assignment model: Formulation. The Hungarian method for the optimal solution. Solving the unbalanced problem. Traveling salesman problem and assignment problem Sequencing models. The solution of Sequencing Problem – Processing n Jobs through 2 Machines – Processing n Jobs through 3 Machines – Processing 2 Jobs through m machines – Processing n Jobs through m Machines.

Dynamic programming: Characteristics of dynamic programming. Dynamic programming approach for Priority Management employment smoothening, capital budgeting, Stage Coach/Shortest Path, cargo loading, and Reliability problems Games Theory. Competitive games, rectangular game, saddle point, min-max (max-min) method of optimal strategies, the value of the game. The solution of games with saddle points, dominance principle. Rectangular games without saddle point – a mixed strategy for 2 X 2 games.

Replacement Models: The Replacement of Items that Deteriorate whose maintenance costs increase with time without a change in the money value. Replacement of items that fail suddenly: individual replacement policy, group replacement policy

Inventory models: Inventory costs. Models with deterministic demand – model (a) demand rate uniform and production rate infinite, model (b) demand rate non-uniform and production rate infinite, model (c) demand rate uniform, and production rate finite. Operational Research Lecture Notes PDF
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College: KMV (DU) Operational Research Lecture Notes PDF
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## 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.

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