Articles > Journals > Academic and Educational journals > Journal of Mathematics and Statistics articles > July 2007

Article: Using feasible direction to find all alternative extreme optimal points for linear programming problem.

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Journal of Mathematics and Statistics
Article date:
July 1, 2007
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Abstract: We presented a feasible direction method to find all optimal extreme points for the linear programming problem. Our method depends on the conjugate gradient projection method starting with an initial point we generate a sequence of feasible directions towards all alternative extremes.

Key words: Linear program, conjugate projection

INTRODUCTION

The problem of linear programming (LP) is one of the earliest formulated problems in mathematical programming where a linear function has to be maximized (minimized) over convex constraint polyhedron X. The simplex algorithm was early suggested for solving this problem by moving toward a ...

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