BASIC ASSUMPTIONS IN L.P.P ARE:
1.LINEARITY: Objective Function and Constraints must be expressed in linear inequalities
2.DETERMINISTIC:Coefficient of decision variable in objective function and constraints expression would be finite and known
3.Divisibility: Decision variable can be any non-negative value including fractions.
Maximise 16x1 + 6x2 + 12x3 subject to 4x1 + 8x2 + 6x3 £ 125 6x1 + 12x2 + 15x3 ³ 120 7x1 + 9x2 + 8x3 = 105 x1 ³ 0, x2 ³ 0, x3 ³ 0
Linear Programming is used for determining a way to find the best solution or outcome for a given mathematical model represented as a linear relationship.
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.
the sequential flow of processes usually linear and its has two types which are: Waterfall and Prototyping Model
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A mathematical model is the representation of a relationship or state or phenomenon in a mathematical form using control variables.
It takes out the personal angle in decision making.
Depends on your definition of "linear" For someone taking basic math - algebra, trigonometry, etc - yes. Linear means "on the same line." For a statistician/econometrician? No. "Linear" has nothing to do with lines. A "linear" model means that the terms of the model are additive. The "general linear model" has a probability density as a solution set, not a line...
Visual Basic (VB) is the third-generation event-driven programming language and integrated development environment (IDE) from Microsoft for its COM programming model. VB is also considered a relatively easy to learn and use programming language, because of its graphical development features and BASIC heritage.
When solving linear prog. problems, we base our solutions on assumptions.one of these assumptions is that there is only one optimal solution to the problem.so in short NO. BY HADI It is possible to have more than one optimal solution point in a linear programming model. This may occur when the objective function has the same slope as one its binding constraints.
The LPP is a class of mathematical programming where the functions representing the objectives and the constraints are linear. Optimisation refers to the maximisation or minimisation of the objective functions. The following are the characteristics of this form. • All decision variables are non-negative. • All constraints are of = type. • The objective function is of the maximisation type.
1- Sender (encodes a:) 2- Message (that is sent through a:) 3- Channel (to a:) 4- Receiver This is called a "linear model" of communication. It is the smallest and simplest system needed as if you take out one of its four components, there can be no communication.
advantages and disadvantages of linear model communication