1. A core Course on Modeling Introduction to Modeling 0LAB0 0LBB0 0LCB0 0LDB0 c.w.a.m.v.overveld@tue.nl v.a.j.borghuis@tue.nl S.12

2. define conceptualize conclude execute formalize formulatepurposeformulatepurpose identifyentitiesidentifyentities chooserelationschooserelations obtainvaluesobtainvalues formalizerelationsformalizerelations operatemodeloperatemodel obtainresultobtainresult presentresultpresentresult interpretresultinterpretresult Definition phase: what purpose?

3. ‘how to optimize road illumination’ http://commons.wikimedia.org/wiki/File:HK_Wan_Chai_%E5%BB %88%E9%96%80%E8%A1%97_Amoy_Street_night_view_Hopewell _Apr-2013.JPG

4. Conceptualization phase: what entities? http://commons.wikimedia.org/wiki/File:HK_Wan_Chai_%E5%BB %88%E9%96%80%E8%A1%97_Amoy_Street_night_view_Hopewell _Apr-2013.JPG

5. lanternroadmooncartreesdrivertraffic

6. define conceptualize conclude execute formalize formulatepurposeformulatepurpose identifyentitiesidentifyentities chooserelationschooserelations obtainvaluesobtainvaluesformalizerelationsformalizerelations operatemodeloperatemodelobtainresultobtainresult presentresultpresentresultinterpretresultinterpretresult has-a,part-of Conceptualization phase: what properties?

7. lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density

8. lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses

9. define conceptualize conclude execute formalize formulatepurposeformulatepurpose identifyentitiesidentifyentities chooserelationschooserelations obtainvaluesobtainvalues formalizerelationsformalizerelations operatemodeloperatemodel obtainresultobtainresult presentresultpresentresultinterpretresultinterpretresult other than has-a, part-of Conceptualization phase: what relations?

10. lantern height power road width surface reflectance traffic density car speed height driver visual capabilities 1 authority expenses

11. illuminate(lantern n, road 1 ) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities n 1 1 authority expenses illuminate

12. illuminate(lantern n, road 1 ) operatedBy(car, driver) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities operated by 1 1 n 1 1 authority expenses illuminate

13. illuminate(lantern n, road 1 ) operatedBy(car, driver) consistsOf(traffic, car n ) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities consists of operated by 1 1 1 n 1 1 n authority expenses illuminate

14. illuminate(lantern n, road 1 ) operatedBy(car, driver) consistsOf(traffic, car n ) ridesOn(traffic, road) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities rides on consists of operated by 1 1 1 n 1 1 n 1 1 authority expenses illuminate

15. illuminate(lantern n, road 1 ) operatedBy(car, driver) consistsOf(traffic, car n ) ridesOn(traffic, road) sees(driver,lantern n, road) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities rides on consists of operated by sees 1 1 1 n 1 n 1 1 n 1 1 authority expenses 1 illuminate

16. illuminate(lantern n, road 1 ) operatedBy(car, driver) consistsOf(traffic, car n ) ridesOn(traffic, road) sees(driver,lantern n, road) pays(authority, lantern n ) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities rides on consists of operated by sees 1 1 1 n 1 n 1 1 n 1 1 authority expenses pays n 1 1 illuminate

17. illuminate(lantern n, road 1 ) operatedBy(car, driver) consistsOf(traffic, car n ) ridesOn(traffic, road) sees(driver,lantern n, road) pays(authority, lantern n ) adjacent(lantern, lantern 2 ) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities rides on consists of operated by sees adjacent 1 1 1 1 n 1 n 1 1 2 n 1 1 authority expenses pays n 1 1 illuminate

18. illuminate(lantern n, road 1 ) operatedBy(car, driver) consistsOf(traffic, car n ) ridesOn(traffic, road) sees(driver,lantern n, road) pays(authority, lantern n ) adjacent(lantern, lantern 2 ) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities rides on consists of operated by sees adjacent 1 1 1 1 n 1 n 1 1 2 n 1 1 authority expenses pays n 1 1 illuminate

19. illuminate(lantern n, road 1 ) operatedBy(car, driver) consistsOf(traffic, car n ) ridesOn(traffic, road) sees(driver,lantern n, road) pays(authority, lantern n ) adjacent(lantern, lantern 2 ) locatedOn(lantern n,road) lantern height power road width surface reflectance traffic density car speed height driver visual capabilities rides on consists of operated by sees adjacent 1 1 1 1 n 1 n 1 1 2 n 1 1 authority expenses pays n 1 1 illuminatelocated on 1

20. lantern height power road width surface reflectance traffic density car speed height driver visual capabilities rides on consists of operated by sees adjacent 1 1 1 1 n 1 n 1 1 2 n 1 1 authority expenses pays n 1 1 illuminatelocated on 1

21. Formalization phase: what value sets?

22. lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses

23. lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses Free decisions :{ 5.0 … 25.0} m

24. Alternatives for what-if analysis lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses : {100, 2000} W : {100, 2000} W :{ 5.0 … 25.0} m

25. Constants to be determined lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses : {14.40} m : {14.40} m : {100, 2000} W : {100, 2000} W :{ 5.0 … 25.0} m

26. Require additional model or experiment lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses : rho : rho : {14.40} m : {14.40} m : {100, 2000} W : {100, 2000} W :{ 5.0 … 25.0} m

27. Range for validity of the model lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses : {1…3} m : {1…3} m : rho : rho : {14.40} m : {14.40} m : {100, 2000} W : {100, 2000} W :{ 5.0 … 25.0} m

28. Range of applicability of the model lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses : {20 …180} km/h : {1…3} m : {1…3} m : rho : rho : {14.40} m : {14.40} m : {100, 2000} W : {100, 2000} W :{ 5.0 … 25.0} m

29. Concept in its own right lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses : driverView : {1…3} m : {1…3} m : {20 …180} km/h : rho : rho : {14.40} m : {14.40} m : {100, 2000} W : {100, 2000} W :{ 5.0 … 25.0} m

30. Aggregation ( compression ) lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses : {0…30} cars/minute : driverView : {1…3} m : {1…3} m : {20 …180} km/h : rho : rho : {14.40} m : {14.40} m : {100, 2000} W : {100, 2000} W :{ 5.0 … 25.0} m

31. : {1…3} m : {1…3} m : {0…30} cars/minute : as little as possible : {20 …180} km/h : driverView Purpose, goal or objective lantern −height −power road −width −reflectivity car −seat height −speed driver −visual capabilities traffic −density authority −expenses :{ 5.0 … 25.0} m : {100, 2000} W : {100, 2000} W : {14.40} m : {14.40} m : rho : rho