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A core Course on Modeling. Introduction to Modeling 0LAB0 0LBB0 0LCB0 0LDB0 [email protected] [email protected] S.33. formulate purpose. define. Right problem? (problem validation). Right concepts? (concepts validation). identify entities. choose relations.

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A core course on modeling

A core Course on Modeling

Introductionto Modeling

0LAB0 0LBB0 0LCB0 0LDB0

[email protected]

[email protected]

S.33


formulate

purpose

define

Right problem?

(problem validation)

Right concepts?

(concepts validation)

identify

entities

choose

relations

conceptualize

obtain

values

formalize

relations

formalize

Right model?

(model verification)

operate

model

obtain

result

execute

present

result

interpret

result

Right outcome?

(outcome verification)

conclude

Reflection: iterate

Right answer?

(answerverification)


Street illumination model: the finalthoughts

we derived the model

...assuming diffuse reflection

we tested the model

...toassessplausibility

we optimized the model for h, dL, p

...found extrema on the borders of cat.-I intervals

... whichshould trigger ouralertness!

http://cdn.morguefile.com/imageData/public/files/h/hotblack/preview/fldr_2008_11_02/file0001093431883.jpg


Street illumination model: the finalthoughts

Stop calculating

Start thinking

The model triesto talk tous ...

http://cdn.morguefile.com/imageData/public/files/m/mariocom20/preview/fldr_2008_11_28/file000299902305.jpg


Street illumination model: the finalthoughts

large differencebetweenmaxIntandminInt

differencebetweenmaxIntandminIntgets smaller with shorterlanterns

http://cdn.morguefile.com/imageData/public/files/m/mariocom20/preview/fldr_2008_11_28/file000299902305.jpg


Street illumination model: the finalthoughts

large differencebetweenmaxIntandminInt

http://www.morguefile.com/archive/display/611774

differencebetweenmaxIntandminIntgets smaller with shorterlanterns


Street illumination model: the finalthoughts

large differencebetweenmaxIntandminInt

Everylocation r with B(r)>minInt is a waste of energy.

So: B(r) should never belargerthanminInt.

Make B(r) constant!

Thiscanbeachievedby h=0 and dL=0 (e.g., fluorescent paint)

http://www.morguefile.com/archive/display/611774

differencebetweenmaxIntandminIntgets smaller with shorterlanterns


Street illumination model: the finalthoughts

So:

whatstarted off as anoptimization model tofindoptimal h, dLand p,

transforms via

an analysis model (what is the relationbetween ...)

toanexploration model (could we also ...)

http://www.morguefile.com/archive/display/611774


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