Mathematical Representation of Objective Function
As we discussed on objective function in the context of linear programming, but objective function can be non-linear as well.
- Linear Objective Functions: In this type of objective function, both the constraints and objective functions are linear in nature. The exponents of the variables are 1.
- Non-Linear Objective Functions: In this type of objective function, both the constraints and objective functions are linear in nature. The exponents of the variables are either 1 or greater than 1.
Applications of Objective Functions
Objective functions are important in real-life scenarios. For instance, these functions are used by businessmen. Businessmen use it to maximize their profit. Objective functions are also useful for Transportation problems. By setting up a function, one can analyze how much fuel consumption is taking place and how the user can accordingly cut the prices for the same. Objective functions are also useful in distance problems as well.
Objective Function
Objective Function is the objective of the Linear Programming Problem as the name suggests. In linear programming or linear optimization, we use various techniques and methods to find the optimal solution to the linear problem with some constraints. The technique can also include inequality constraints as well. The objective function in Linear Programming is to optimize to find the optimum solution for a given problem.
In this article, we will learn all about the Objective Function including its definition, types, how to formulate an objective function for any given problem, etc. We will also learn various representations of Objective Functions such as Linear Objective Functions or Non-linear objective functions. So, let’s start learning about this fundamental concept in Linear Programming i.e., “Objective Function”.