Graphical Solution for Lp Model

Apr 30th, 2015
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After completing this chapter, students will be able to: Graphically solve any LP problem that has only two variables by both the corner point and isoprofit line methods Understand special issues in LP such as infeasibility, unboundedness, redundancy, and alternative optimal solutions

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Graphical Solution for Lp ModelOperations ResearchOR#4 Graphical SolutionLecturer Gesit ThabraniDual Degree - Management UNP Dual Degree - Management UNPLearning ObjectivesAfter completing this chapter, students will be able to: Graphically solve any LP problem that has only two variables by both the corner point and isoprofit line methods Understand special issues in LP such as infeasibility, unboundedness, redundancy, and alternative optimal solutionsDual Degree - Management UNPOutline1. Introduction 2. Feasible Region 3. Graphical Representation of a Constraint 4. Graphical Solution to an LP Problem 4.1 Isoprofit Line Solution Method 4.2 Corner Point Solution Method 5. Solving Minimization Problems 6. Four Special Cases in LP Dual Degree - Management UNPIntroductionThe easiest way to solve a small LP problems is with the graphical solution approach The graphical method only works when there are just two decision variables When there are more than two variables, a more complex approach is needed as it is not possible to plot the solution on a twodimensional graph The graphical method provides valuable insight into how other approaches work Dual Degree - Management UNPFeasibility Region, inequality "?"Y44X + 3Y ? 12| 0||| 3||XDual Degree - Management UNPFeasibility Region, inequality "?"Y44X + 3Y ? 12| 0||| 3||XDual Degree - Management UNPFeasibility Region, equality "="Y44X + 3Y = 12| 0||| 3

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