TAILIEUCHUNG - Lecture Introduction to Management Science with Spreadsheets: Chapter 5 - Stevenson, Ozgur

Chapter 5 "Linear programming: Sensitivity analysis and duality", after completing this chapter, you should be able to: Explain how sensitivity analysis can be useful to a decision maker, explain why it can be useful for a decision maker to extend the analysis of a linear programming problem beyond determination of the optimal solution, explain how to analyze graphically and interpret the impact of a change in the value of the objective function coefficient,. | Chapter 5 Linear Programming: Sensitivity Analysis and Duality Part 2 Deterministic Decision Models Learning Objectives Explain how sensitivity analysis can be useful to a decision maker. Explain why it can be useful for a decision maker to extend the analysis of a linear programming problem beyond determination of the optimal solution. Explain how to analyze graphically and interpret the impact of a change in the value of the objective function coefficient. Explain how to graphically analyze and interpret the impact of a change in the right-hand-side value of a constraint. After completing this chapter, you should be able to: McGraw-Hill/Irwin 5– Learning Objectives (cont’d) Explain what a dual is. Formulate the dual of a problem. Read and interpret the solution to a dual problem and relate the dual solution to the primal solution. Explain in economic terms the interpretation of dual variables and the dual solution. Determine if adding another variable to a problem will change the optimal solution mix of the original problem. After completing this chapter, you should be able to: McGraw-Hill/Irwin 5– Sensitivity Analysis Benefits of sensitivity analysis Enables the decision maker to determine how a change in one of the values of a model will impact the optimal solution and the optimal value of the objective function while holding all other parameters constant. Provides the decision maker with greater insight about the sensitivity of the optimal solution to changes in various parameters of a problem. Permits quick examination of changes due to improved information relating to a problem or because of the desire to know the potential impact of changes that are contemplated. McGraw-Hill/Irwin 5– Changes in Parameter Values Categories of model parameters subject to potential changes The value of an objective function coefficient The right-hand side (RHS) value of a constraint A coefficient of a constraint Concerns about ranges of changes Which range pertains

• Quản trị kinh doanh
• Management science
• Management science with spreadsheets
• Deterministic decision models
• Probabilistic decision models
• Linear programming
• Sensitivity analysis
• Applications of management science
• Excel spreadsheets
• Management thought
• Evolution of management thought
• Ideas in management
• Management theory
• Systems in management
• Production management
• Forecasting process
• Qualitative forecasts
• Graphical solution
• Marketing applications
• Simplex method
• Transportation method
• Solving transportation problems
• Integer programming
• Integer programming problems
• Solving integer programming
• Nonlinear programming
• Network optimization models
• Differential arithmetic
• Multicriteria decision
• Making models
• Decision theory
• Decision making
• Waiting line models
• Poisson distribution
• Fixed Interval simulations
• Discrete simulations
• An introduction to management science
• Advanced linear programming applications
• Integer linear programming
• Markov processes
• Nonlinear optimization models
• Inventory models
• Decision analysis