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the significance of duality theory of linear programming
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
necessity of linear programming on organization.
Advantages of Linear Programming 1.The linear programming technique helps to make the best possible use of available productive resources (such as time, labour, machines etc.) 2. In a production process, bottle necks may occur. For example, in a factory some machines may be in great demand while others may lie idle for some time. A significant advantage of linear programming is highlighting of such bottle necks. Disadvantages of Linear Programming 1. 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 linear, this technique cannot be used. 2. Factors such as uncertainty, weather conditions etc. are not taken into consideration.
Linear programming, especially in economics is vital for being able to make accurate estimates of goods output, costs and stock levels needed to carry out certain tasks. It is best to assume that the conditions do not change drastically.
essential attributes of linear programming models and its uses
Linear programming models involve optimizing an objective function subject to linear constraints. They assume additivity and proportionality in the relationships between decision variables and the objective function. Linear programming models also require non-negativity constraints on decision variables.
Integer programming is a method of mathematical programming that restricts some or all of the variables to integers. A subset of Integer programming is Linear programming. This is a form of mathematical programming which seeks to find the best outcome in such a way that the requirements are linear relationships.
A linear objective function and linear constraints.
Toshinori Munakata has written: 'Matrices and linear programming with applications' -- subject(s): Linear programming, Matrices 'Solutions manual for Matrices and linear programming'
Linear programming can be used to solve problems requiring the optimisation (maximum or minimum) of a linear objective function when the variables are subject to a linear constraints.