the graphical method shows that the optimum LP solution is always associated
with a corner point of solution space.
this result is key to the development of the general algebraic simplex method for solving any LP
model.
The transition from the geometric corner-point solution to the simplex method entails a computational
procedure that determines the corner points algebraically.
This is accomplished by first converting all the inequality constraints into equations and then manipluating
the resulting equations in systematic manner.
A main feature of the simplex method is that it solves the LP in iterations.
Each iteration moves the solution to a new corner point that has the potential
to improve the value of the objective fuction .
The process ends when no further improvements can be realized .
The simplex method involves tedious and voluminous computations .
Which makes the computer an essential tool for solving LP Problems.
The computational rules of the simplex method are thus designed to facilitate automatic computations.
with a corner point of solution space.
this result is key to the development of the general algebraic simplex method for solving any LP
model.
The transition from the geometric corner-point solution to the simplex method entails a computational
procedure that determines the corner points algebraically.
This is accomplished by first converting all the inequality constraints into equations and then manipluating
the resulting equations in systematic manner.
A main feature of the simplex method is that it solves the LP in iterations.
Each iteration moves the solution to a new corner point that has the potential
to improve the value of the objective fuction .
The process ends when no further improvements can be realized .
The simplex method involves tedious and voluminous computations .
Which makes the computer an essential tool for solving LP Problems.
The computational rules of the simplex method are thus designed to facilitate automatic computations.
