ModB - Linear Programmin Quantitative Module Module Outline REQUIREMENTS OF A LINEAR PROGRAMMING PROBLEM FORMULATING LINEAR PROGRAMMING PROBLEMS

ModB - Linear Programmin Quantitative Module Module...

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Linear ProgramminQuantitative Module BModule OutlineREQUIREMENTS OF A LINEAR PROGRAMMING PROBLEMFORMULATING LINEAR PROGRAMMING PROBLEMSShader Electronics ExampleGRAPHICAL SOLUTION TO A LINEAR PROGRAMMING PROBLEMGraphical Representationof ConstraintsIso-Profit Line Solution MethodCorner-Point Solution MethodSENSITIVITY ANALYSISSensitivity ReportChanges in the Resources or Right-Hand-Side ValuesChanges in the Objective Function CoefficientSOLVING MINIMIZATION PROBLEMSLINEAR PROGRAMMING APPLICATIONSProduction-Mix ExampleDiet Problem ExampleProduction Scheduling ExampleLabor Scheduling ExampleTHE SIMPLEX METHOD OF LPSUMMARY
MODULE BLINEAR PROGRAMMINGKEY TERMSLEARNING OBJECTIVESUSING SOFTWARE TO SOLVE LP PROBLEMSSOLVED PROBLEMS INTERNET AND STUDENT CD-ROM EXERCISESDISCUSSION QUESTIONSACTIVE MODEL EXERCISEPROBLEMSINTERNET HOMEWORK PROBLEMSCASE STUDY: GOLDING LANDSCAPING AND PLANTS,INC.ADDITIONAL CASE STUDIESBIBLIOGRAPHYLinear Programming (LP)A mathematical technique designed to help operations managers plan and make decisions relative to the trade-offs necessary to allocate resources.The storm front closed in quickly on Chicago’s O’Hare Airport, shutting it down without warning. The heavy thunderstorms, lightning,and poor visibility sent AmericanAirlinespassengersand groundcrewscurrying.BecauseAmericanAirlines useslinearprogramming(LP) toscheduleflights, hotels,crews, andrefueling, LPhas a direct impact on profitability. As the president of AA’s Decision Technology Group says, “Finding fast solutions to LP problems is essential. If we get a major weather disruption at one of the hubs, such as Dallas or Chicago, then a lot of flights may get canceled, which means we have a lot of crews and airplanes in the wrong places. What we need is a way to put that whole operation back together again.” LP is the tool that helps airlines such as American unsnarl and cope with this weather mess.Many operations management decisionsinvolve trying to make the most effective use ofan organization’s resources. Resourcestypically include machinery (such as planes, inthe case of an airline), labor (such as pilots),money, time, and raw materials (such as jetfuel). These resources may be used to produceWhen you complete this module you should be able toIDENTIFY OR DEFINE:Objective functionConstraintsFeasible regionIso-profit/iso-cost methodsCorner-point solutionShadow priceDESCRIBE OR EXPLAIN:How to formulate linear modelsGraphical method of linear programmingHow to interpret sensitivity analysis
693products (such asmachines, furniture,food, or clothing) orservices (such asairlineschedules,advertising policies,orinvestmentdecisions).Linearprogramming (LP) isawidelyusedmathematicaltechnique designed tohelpoperationsmanagers plan andmake the decisionsnecessary to allocateresources.

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