SAE 599 Modeling and Simulation for Systems Architecting and Engineering

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SAE 599 - Modeling and Simulation for Systems
Architecting and Engineering

• Dr. Raymond Madachy
• October 31, 2007

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Outline

• Dr. James Moore presentation
• Review of basic structures and behaviors for
  continuous systems
• Reading and homework

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Level Integration

• Calculus integral
• System dynamics code

Level(time) Level(time-dt) (inflow -
outflow)dt
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Basic Structures

• Rate/level system (no feedback)
• Positive and negative feedback systems

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Behaviors from Rate/Level Structure
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Behaviors from Rate/Level Structure (cont.)
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Behaviors from Feedback Structures
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Rate and Level Worksheet
Level(time) Level(time-dt) (inflow -
outflow)dt
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Reading

• Software Process Dynamics Chapter 3

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Homework

• Use continuous systems modeling for the
  following
• 100 hardware components are to be developed with
  a fixed staff of 20 people
• The maximum productivity is 5 components/person-ye
  ar
• Implement a learning curve feedback loop with the
  specified multiplier for learning so that
• productivity maximum productivity multiplier
  for learning
• Product defects are generated as a coflow of
  production at a rate of .4 defects per component
• Defects are fixed at an average delay time of 3
  months at a cost of 25,000 per defect. This is
  done by a different team.
• How long will it take to develop 100 components?
  Report to the nearest 1/10 of a year.
• At that time, how many defects are still in the
  system and how much has been spent to-date on
  defect fixing?
• Show all your model and results