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Session 1a Decision Models -- Prof. Juran.

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Presentation on theme: "Session 1a Decision Models -- Prof. Juran."— Presentation transcript:

1 Session 1a Decision Models Prof. Juran

2 Decision Models -- Prof. Juran
Overview Web Site Tour  Course Introduction Decision Models Prof. Juran Decision Models Prof. Juran

3 Decision Models -- Prof. Juran
2 Modules Module I: Optimization Module II: Spreadsheet Simulation Decision Models Prof. Juran Decision Models Prof. Juran

4 What is Decision Modeling?
Decision Modeling Process Formulation Real world System Decision Model Deduction Implementation Real World Conclusions Interpretation Model Conclusions Decision Models Prof. Juran Decision Models Prof. Juran

5 Decision Models -- Prof. Juran
What is Analytics? … besides bad English? Data Inferences Decisions Business Decision Models Prof. Juran Decision Models Prof. Juran

6 Decision Models -- Prof. Juran
Seven-step Process Definition Data Collection Formulation Model Verification Selection of an Alternative Presentation of Results Implementation Decision Models Prof. Juran Decision Models Prof. Juran

7 Revised Process for This Course
0. Conclusions and Recommendations 1. Managerial Definition 2. Formulation 3. Solution Methodology 4. Discussion? Appendices? Decision Models Prof. Juran Decision Models Prof. Juran

8 Decision Models -- Prof. Juran
Software Microsoft Excel Data Table Goal Seek Solver Premium Solver, SolverTable Analysis Toolpack Charts and Graphs Decision Models Prof. Juran Decision Models Prof. Juran

9 Decision Models -- Prof. Juran
Software The Decision Tools Suite @Risk PrecisionTree TopRank BestFit RiskView StatPro Decision Models Prof. Juran Decision Models Prof. Juran

10 Decision Models -- Prof. Juran
Software Other Software Crystal Ball Extend Sigma Decision Models Prof. Juran Decision Models Prof. Juran

11 Decision Models -- Prof. Juran
Descriptive Model Approximates how a real system works (or would work) given certain assumptions Does not give us the “right answer” Focus for Module 2 Decision Models Prof. Juran Decision Models Prof. Juran

12 Decision Models -- Prof. Juran
Prescriptive Model Identifies the “right answer” Focus of Module 1 Decision Models Prof. Juran Decision Models Prof. Juran

13 Decision Models -- Prof. Juran
What is Optimization? A model with a “best” solution Strict mathematical definition of “optimal” Usually unrealistic assumptions Useful for managerial intuition  Decision Models Prof. Juran Decision Models Prof. Juran

14 Elements of an Optimization Model
Formulation Decision Variables Objective Constraints Solution Algorithm or Heuristic Interpretation Decision Models Prof. Juran Decision Models Prof. Juran

15 Decision Models -- Prof. Juran
Toomer Sporting Goods Decision Models Prof. Juran Decision Models Prof. Juran

16 Managerial Problem Definition
Ishani Mukherjee must decide how many to produce of two products. Decision Models Prof. Juran Decision Models Prof. Juran

17 Managerial Problem Definition
2-piece Yellow Jacket 4-piece Sachin Special Decision Models Prof. Juran Decision Models Prof. Juran

18 Decision Models -- Prof. Juran
Formulation Define the choices to be made by the manager (called decision variables). Find a mathematical expression for the manager's goal (called the objective function). Find expressions for the things that restrict the manager's range of choices (called constraints). Decision Models Prof. Juran Decision Models Prof. Juran

19 Decision Models -- Prof. Juran
Decision Variables Decision Models Prof. Juran Decision Models Prof. Juran

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22 Decision Models -- Prof. Juran
Objective Function A mathematical expression of the manager’s goal in terms of the decision variables. Decision Models Prof. Juran Decision Models Prof. Juran

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What is the objective? Maximize or minimize? Decision Models Prof. Juran Decision Models Prof. Juran

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Constraints Find expressions for the things that restrict the manager's range of choices, in terms of the decision variables. Decision Models Prof. Juran Decision Models Prof. Juran

29 Decision Models -- Prof. Juran
Leather Constraint Each Yellow Jacket uses 4 ounces of leather and each Sachin Special uses 5 ounces. There are 6,000 ounces available. Decision Models Prof. Juran Decision Models Prof. Juran

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Leather Constraint Decision Models Prof. Juran Decision Models Prof. Juran

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Nylon Constraint Each Yellow Jacket uses 3 meters of nylon and each Sachin Special uses 6 meters. There are 5,400 meters available. Decision Models Prof. Juran Decision Models Prof. Juran

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Nylon Constraint Decision Models Prof. Juran Decision Models Prof. Juran

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Cork Constraint Each Yellow Jacket uses 2 ounces of cork and each Sachin Special uses 4 ounces. There are 4,000 ounces available. Decision Models Prof. Juran Decision Models Prof. Juran

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Cork Constraint Decision Models Prof. Juran Decision Models Prof. Juran

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Labor Constraint Each Yellow Jacket uses 2 minutes of general labor and each Sachin Special takes 2.5 minutes. There are 3,500 minutes available. Decision Models Prof. Juran Decision Models Prof. Juran

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Labor Constraint Decision Models Prof. Juran Decision Models Prof. Juran

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Stitching Constraint Each Yellow Jacket takes 1 minute of stitching time and each Sachin Special takes 1.6 minutes. There are 2,000 minutes available. Decision Models Prof. Juran Decision Models Prof. Juran

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Stitching Constraint Decision Models Prof. Juran Decision Models Prof. Juran

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44 Nonegativity Constraints
Decision Models Prof. Juran Decision Models Prof. Juran

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Solution Methodology Use algebra to find the best solution. (Simplex algorithm) Decision Models Prof. Juran Decision Models Prof. Juran

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The Optimal Solution Make 1,000 Yellow Jackets and 400 Sachin Specials Earn ₹179,400 Decision Models Prof. Juran Decision Models Prof. Juran

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