HPD Introduction
HPD Stands for:
- Holistic Probabilistic Design (for Design or Structural Engineering), or
- Holistic Probabilistic Decision-Making (for all Other Application Areas – e.g., Business, Material or other Sciences, . . .)
HPD Consists of a Work Process Methodology with Software Suites
- HPD Methodology (to be part of forthcoming books) guides:
- How to Structure any (“simple” or complex) Stochastic problem and “Model” (i.e., establish relationship(s)) for it
- How to Stochastically Analyze & Optimize/Synthesize, locally & globally
- HPD Software Suites:
- HPD_VA for (the Umbrella area** of) Variability Analysis**
- HPD_Opt for Stochastic/Design Optimization
- Others (see GUI)
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HPD’s Important Inclusiveness:
- On Modeling & Models:
- “Modeling” includes conducting experiments; “Model” includes datasets, subprograms, and more
- A “Total Model” is a “Flow of Models” that addresses all parameters whose Variability one needs to address
- The Software can handle any “Model” / “Total Model”
- On Probability Distribution “Types:”
Since a resulting distribution can be any point in the infinite-dimensional distribution-space and it can be used as an input distribution for the next level computation, HPD has liberated the concept of distribution Types; known Types are just discrete points in the continuum!!
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** We use “Variability Analysis” (VA) instead of “Uncertainty Quantification” (UQ) or “Risk/Reliability Analysis” – terms seen in literature – because the “Umbrella area” of VA includes those and much more. E.g., Umbrella Area includes tolerancing, computing distributions (by our Breakthrough way + several lesser ways), Sensitivity/Contribution Analysis, failure rates, . . .