This article throws light upon the top three examples on the application of linear programming. Example # 1. Production Allocation Problem: A firm produces three products. These products are processed on three different machines. The time required to manufacture one unit of each of the three products and the daily capacity of the three machines are given in the table [...]
Here is a compilation of essays on ‘Operation Research’ for class 11 and 12. Find paragraphs, long and short essays on ‘Operation Research’ especially written for college students. Essay on Operation Research Essay Contents: Essay on the Introduction to Operation Research Essay on the Definition of Operation Research Essay on the Development of Operation Research Essay on the Characteristics of [...]
This article throws light upon the four main steps involved in the construction of OR model. The steps are: 1. Selecting Components of the System 2. Pertinence of Components 3. Combining the Components 4. Substituting Symbols. Step # 1. Selecting Components of the System: All the components of the system which contribute towards the effectiveness measure of the system should [...]
After reading this article you will learn about the requirement of Linear Programme Problem (L.P.P). Linear programming is an optimization technique for finding an optimal (maximum or minimum) value of a function, called objective function, of several independent variables, the variable being subject to various restrictions expressed as equation or inequalities. The term linear indicates that the function to be [...]
After reading this article you will learn about the degeneracy in L.P problem and method to resolve it. Degeneracy in L.P Problem: Degeneracy is revealed when a basic variable acquires a zero value rather than a negative or positive value. In the final solution, either the number of basic variable is not equal to the number of constraints, or the [...]
This article throws light upon the top two artificial variable techniques for solving L.P.P. The techniques are: 1. The Big-M technique. 2. The Two Phase Method. 1. The Big-M Method: This method consists of the following basic steps: Step 1: Express the L.P.P in the standard form. Step 2: Add non-negative artificial variables to the left hand side of all [...]
After reading this article you will learn about:- 1. Introduction to the Simplex Method 2. Principle of Simplex Method 3. Computational Procedure 4. Flow Chart. Introduction to the Simplex Method: Simplex method also called simplex technique or simplex algorithm was developed by G.B. Dantzeg, An American mathematician. Simplex method is suitable for solving linear programming problems with a large number [...]
After reading this essay you will learn about:- 1. Meaning of Transportation Problem 2. General Structure of the Transportation Problem 3. Linear Programming Formulation 4. Solution Procedure 5. Method for Finding Initial Basic Feasible Solution. Essay on the Meaning of Transportation Problem: The transportation problems deals with the transportation of product manufactured at different plants or factories (supply origins) to [...]