Pareto Frontier and Design Option Assignment | Homework Help Websites

Consider the sensor system describe. Suppose that the cost of the each of the designs is:

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OPTIONS COST
Design 1 $25.16
Design 2 $25.25
Design 3 $37.58
Design 4 $32.96
Design 5 $37.00
Design 6 $43.64
Design 7 $42.98
  1. Develop a Pareto Frontier Diagram that plots the DOs in terms of the net technical performance (found in Lecture 1.9) vs. cost. Be sure to label the axes and data points.
  2. Identify the Pareto Frontier/Set of DOs.

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  1. Develop a new MAVF for the DOs in which the attributes are net performance and cost.
    1. Find the weight coefficients for each attribute assuming the customer weighs the technical performance as 100 and cost as 80.
    2. Write down expressions for the single attribute value functions and the total value function.
  2. Identify the “Best Design Option” and explain your answer.
  3. Suppose that the uncertainty in the performance value is +/- 0.05  and the uncertainty in each cost value is +/-20% and the uncertainty in the customer “Ranking” for Cost is +/-20. Perform a sensitivity analysis on the “Best Option” from part d.
    1. Develop a Tornado Diagram Table and a Tornado Diagram.
    2. What can you conclude from this?
  4. What design would you recommend? Why? What caveats should go with this?
Reference Case = DO 4
Metric: MAVF
Questions:
What factor uncertainties have biggest impact?
Which factor(s) should one attempt to get a better estimate for?
What is effect on recommendation?
Factor Uncertainties Swing Weighting
Reference High Low Case Pfd Pfn Ao Rank Weight Wt Value
Pfd 0.0000008 0.0000009 0.0000007 Worst 0.0000024 0.020 0.993 0
Pfn 0.002 0.0022 0.0018 Best, Worst , Worst 0.0000008 0.020 0.993 100 wfd = 0.455
Ao 0.993 0.9935 0.9925 Worst, Best, Worst 0.0000024 0.002 0.993 80 wfn = 0.364
Rfd 100 100 90 Worst, Worst, Best 0.0000024 0.020 0.999 40 wa = 0.182
Rfn 80 100 70 220
Ra 50 60 40
MAVF Single Factor Uncert Table (for DO 4) Analysis Table Wt1 = wfd Wt2 = wfn Wt3 = wa
Reference High Fi Low Fi 0.455 0.364 0.182
Pfd 0.734 0.71 0.758 Design Option SVVF1 SVVF2 SVVF3 MAVF
Pfn 0.734 0.73 0.738 Pfd Pfn Ao Vfd Vfn Va Vt
Ao 0.734 0.752 0.716 Design 1 0.0000024 0.010 0.999 0.00 0.56 1.00 0.384
Rfd 0.734 0.734 0.727 Design 2 0.0000024 0.002 0.997 0.00 1.00 0.67 0.485
Rfn 0.734 0.756 0.722 Design 3 0.0000008 0.020 0.999 0.89 0.00 1.00 0.586
Ra 0.734 0.768 0.704 Design 4 0.0000008 0.010 0.997 0.89 0.56 0.67 0.727
Design 5 0.0000008 0.002 0.993 0.89 1.00 0.00 0.768
Design 6 0.0000006 0.020 0.997 1.00 0.00 0.67 0.576
Design 7 0.0000006 0.010 0.993 1.00 0.56 0.00 0.657
Low Value 0.0000006 0.002 0.993
High Value 0.0000024 0.020 0.999
Tornado Table (MAVF for DO 4)
Change in MAVF
Low Vt High Vt
Pfd -0.024 0.024
Pfn -0.004 0.004
Ao -0.018 0.018
Rfd -0.007 0.000
Rfn -0.012 0.022
Ra -0.030 0.034
Total DO4 Uncertainty = 0.050484

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