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Definition of a Linear Program

Fact: Every linear program has an extreme point that is an optimal solution. Corrolary: An algorithm to solve a linear program only needs to consider extreme 



Chapter 1

(6) In linear programming ______ represents mathematical equation of the (1) To find initial feasible solution of a transportation problem the method.



Linear programming 1 Basics

17-Mar-2015 When trying to formulate a problem as a linear program ... A feasible solution is optimal if its objective function value is equal.



The Graphical Simplex Method: An Example

Procedure Solve LP is meaningful only if the feasible region is not empty. A linear program of this type is said to be infeasible. 2. Unboundedness: Consider 



MS&E 310 Homework #2 Solution Linear Programming October 20



Linear Programming 1 An Introduction to Linear Programming

Definition 2 A linear program (LP) is feasible if there exists a feasible solution otherwise it is said to be infeasible. Definition 3 An optimal solution 



GRAPHICAL METHOD-SPECIAL CASES

an LP problem simultaneously is said to be the feasible solution to that linear programming problem. ? Infeasible solution. The set of values of decision 



Finding feasible solutions to a LP

basic feasible solution: put the slack variables on the left hand side. How- ever this is not always the case



Duality in Linear Programming

If we solve this linear program by the simplex method the resulting optimal feasible solution to the primal maximization problem is bounded from above ...



LECTURE NOTES ON LINEAR PROGRAMMING Pre-requisites

The set of all feasible solutions of an L.P.P.is a convex set. The objective function of an Mathematical formulation of Linear Programming Problem.