Different Types (Methods) of Linear Programming
Some of the methods of linear programming are: The Graphical Method The Analytical Method The Simplex Method In the graphical method, the constraints are actually drawn as straight lines and the optimal solution is found. This method is explained in detail later. The graphical m..
Linear Programming Problems (LPP)
Linear Programming Problems (LPP) - The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z =..
Linear Programming Problems (LPP) - The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z =..LPP - Linear programming problem Conclusion
Conclusion - The graphical method of solving an LPP is possible only if there are two decision variables (say x and y). This method is not suitable if there are three or more decision variables. In this case, there is a powerful method called 'simplex method'. The wide usage of ..
Concept of Linear programming problems
Introduction - The mathematical models which tells to optimise (minimize or maximise) the objective function Z subject to certain condition on the variables is called a Linear programming problem (LPP). During World War II, the military managements in the U.K..
Advantages of Linear Programming
The linear programming technique helps to make the best possible use of available productive resources (such as time, labour, machines etc.) In a production process, bottle necks may occur. For example, in a factory some machines may be in great demand while other..
Advantages of Linear Programming
i. The linear programming technique helps to make the best possible use of available productive resources (such as time, labour, machines etc.) ii. In a production process, bottle necks may occur. For example, in a factory some machines may be in great dema..
Limitations of Linear Programming
Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions are not..
Mathematical Formulation of Linear Programming Problems
Mathematical Formulation of Linear Programming Problems - There are mainly four steps in the mathematical formulation of linear programming problem as a mathematical model. We will discuss formulation of those problems which invo..
Basic Concept of Linear Programming Problem
Objective Function - The Objective Function is a linear function of variables which is to be optimised i.e., maximised or minimised. e.g., profit function, cost function etc. The objective function may be expressed as a linear expressio..
LPP - Linear programming problem Introduction
Introduction - We are already familiar with graphical reorientation of linear equations and inequations. This chapter describes the application of linear equations and inequations in solving different kinds of practical problems. Let us consider few examples ..
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