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Advantages of Linear Programming

Linear Programming:
The term was introduced in 1950 to refer to plans or schedules for training, logistical supply and for deployment of men in the service. A linear programming is a subset of Mathematical programming, and the later field is part of operations research.

A linear programming problem differs from the general variety in that a mathematical mode or description of the problem can be stated using relationships which are called “ straight-line” or linear. The mathematical statement of the linear-programming problem includes a set of linear equation which represent the conditions of the problem.

Linear Programming is the part of mathematics deals with the study of optimization problems with required number of constraints and objective.

Advantages of Linear Programming:
Some of the real time applications are in production scheduling, production planning and repair, plant layout, equipment acquisition and replacement,logistic management and fixation. Linear programming has maintained special structure  that can be exploited to gain computational advantages.

some of the advantages of Linear Programming are:
  • Utilized to analyze numerous economic, social, military and industrial problem.
  • Linear programming is best suitable for solving complex problems.
  • Helps in simplicity and Productive management of an organization which gives better outcomes.
  • Improves quality of decision: A better quality can be obtained with the system by making use of linear programming.
  • Provides a way to unify results from disparate areas of mechanism design.
  • More flexible than any other system, a wide range of problems can be solved easily.
Limitations of Linear Programming

Linearity of relations of variables: The linearity cannot be obtained in all function since still some of the function are non linear in the  surrounding environment.
The assumptions of linear programming are also unrealistic: there is a change in relation between input,output gain, loss etc.
Limit on the possible solution.