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Learn Linear Programming Online
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Posted On :
Oct-03-2011
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Article Word Count :
479
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Before talking about linear programming, I would like to tell you the meaning of “linear”. Linear is a Latin word which means pertaining to or resembling a line. In
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Before talking about linear programming, I would like to tell you the meaning of “linear”. Linear is a Latin word which means pertaining to or resembling a line. In mathematics, linear equation means an equation having two different variables which results in a straight line when plotted on graph. After brief introduction of linear equation, we will talk about linear programming problems.
A linear programming equation is defined as the problem of maximizing or minimizing a linear function subject to linear constraints. Linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints. The constraints may be equalities an inequalities. A convex polyhedron is a feasible solution, which is a set defined as the intersection of finitely many half spaces, each of which is defined by linear inequality. You can use linear programming solver to solve this type of equation online.
Linear programming problems are expressed in canonical form:
maximize c T x
subject to Ax <= b
and x> 0
Lets take a simple example to understand the different terms that a linear programming equation contains.
Determine the value of x1 and x2 that maximizes the sum x1 + x2 , constraints x1 >= 0 , x2 >= 0 and,
x1 + 2x2 <= 4
4x1 + 2x2 <= 12
x1 + x2 <= 1
in this question there are two unknowns and five constraints. All constraints are inequalities this means they all are linear that each involves inequality in some linear function of the variables. The first two constraints given in the equation are special as they are positive constraints. Other constraints except first two are main constraints. The function which we have to minimize or maximize is called as “objective function”. In this equation, there are two objective functions x1 and x2. To solve this equation visit any math teaching website and take help of linear programming solver.
Now I will give a basic idea of how to solve Inequalities? Solving an inequality means determining all its possible solutions. If we put the solved value of inequalities in the variables, it makes the inequality a true statement. Consider an example: x – 3 > 5
If we substitute 9 for x, the inequality becomes 9- 3 >5. thus x = 9 is a solution of the inequality. Similarly, we can put 10, 11 and so n numbers all will result the same. In this way an inequality equation has infinite number of solutions.
Many websites offers Free Math Problem Solvers. Using this all types of math problem will be solved in few seconds. Using these tools is as simple as playing computer or video games.
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Article Source :
http://www.articleseen.com/Article_Learn Linear Programming Online_88110.aspx
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Author Resource :
TutorVista is the #1 portal for learning linear programming solver online. The tutors working with us are great in explaining solve inequalities in best possible way.
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Keywords :
free math problem solver, linear programming solver, solve inequalities,
Category :
Reference and Education
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Reference and Education
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