introduction to linear programming

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 to underst..

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)...

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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 and the USA engaged a..

Transportation Problem - Goods have to be transported from sources (like factories) to destinations (like warehouses) on a regular basis. The transportation problem deals with minimising the costs in doing so. Linear programming effectively deals with this proble..

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 demand while o..

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 others may lie ..

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 = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 , ....x n are called decision variable..

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 = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 ..

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..