1. I-divergence Function in Project Evaluation
V. Beran
P. Dlask
My name is Petr Dlask. I’m from CTU. My faculty is F. of CV. I work at Department of EMCV.
My talk called I-divergence…
This presentation is composed for conference CESB 2007.
Presentation created for:
CESB 2007
Department of Economics and Management in Civil Engineering
Thákurova 7, Praha 6, Czech Republic

2. Presentation Structure
Basic Project Evaluation
Graphic Presentation
Divergence Theory
Simulation Methods
Software Application
Summary B. C. D. E. F.
On this screen I would like to show the presentation structure.
At the beginning I will talk about basic project evaluation and graphic interpretation.
Next is divergence theory and SW application.
At the end is summary of my presentation.
CESB 2007 Prague
CTU in Prague

3. Basic Project Evaluation
Vector and evaluation in 1D, 2D, …
Application point of view – decision making, selection of variants, risk evaluation, …
Complex evaluation of T-E solutions
Deterministic evaluation,
Stochastic evaluation,
Fuzzy evaluation.
CESB 2007 Prague
CTU in Prague

4. Graphic Presentation D(a||b) Distance between Const1 and Const2
Constants (1D)
Const1 = 5
Const2 = 8
Vectors (1D)
(2, 6, 12) a b
(7, 11, 9)
Matrixes (2D) A B
For priblizeni (description) of the evaluation you can see graphic presentation.
Space (3D, 4D, …)
A(3D)
B(3D)
CESB 2007 Prague
CTU in Prague

5. Graphic Presentation 1D
D(1D)(a2||b2) b1 a1
D(1D)(a1||b1)
CESB 2007 Prague
CTU in Prague

6. Graphic Presentation 2Db2 d
D(a||b)
D(1D)(a2||b2) a2 b1 a1
D(1D)(a1||b1)
CESB 2007 Prague
CTU in Prague

7. Graphic Presentation 2Db2 d
D(a||b) a2
D(1D)(a2||b2) b1 a1
D(1D)(a1||b1) b2 d
D(a||b) a2
DI(1D)(a2||b2)
d  const.
DI(1D) >> DII(1D) b1 a1
DII(1D)(a1||b1)
CESB 2007 Prague
CTU in Prague

8. Divergence D(a||b)
For all j=1,2,…,n of decision factors of the set F. This general notation can be symbolically expressed for vectors
where. When fixing the terms of their divergence with the help of I-divergence relationship there is then validated
or its modified alternative
When applying the procedures there is made valid that
CESB 2007 Prague
CTU in Prague

9. Simulation Methods Evaluation Scale [-] 10 2000 [mil. CZK]
2000
[mil. CZK]
Technical Scale
Price
Lifetime
Service Cost
Construction Period
CESB 2007 Prague
CTU in Prague

10. SW Application for Project Evaluation
Application Options:
setup criteria tree
evaluation of elements
graphic tree generation
generation of calculation
final evaluation
statistics of evaluation
archives of projects
CESB 2007 Prague
CTU in Prague

11. Evaluation hiI for Variants
Illustrative data
CESB 2007 Prague
CTU in Prague

12. Summary 1. What are the methods for project evaluation?
(Deterministic/Stochastic/Simulation Method)
2. Divergence function is inspiration method for project evaluation
3. The importance of partial evaluation.
We are at the end of my presentation.
I hope that my talk is able to answer/notice three basic points.
CESB 2007 Prague
CTU in Prague

13. I-divergence Function for Project Evaluation
End of Presentation
Doc. Ing. Beran V., DrSc.
Doc. Ing. Dlask P., Ph.D.
I-divergence Function for Project Evaluation
CTU, Faculty of Civil Engineering,
Dept. of Economic and Management in Civil Engineering
Thákurova 7, Praha 6
Czech Republic
This is the final part of my presentation.
I hope that my speech is able to comment three points on the previous screen.
If are there any question we can talk about this after the end of this session/at poster section.
… or I can answer any question by communication.
Thank you for your attention. Thank you for your time.
CESB 2007 Prague
CTU in Prague