I-divergence Function in Project Evaluation V. Beran beran@fsv.cvut.cz P. Dlask dlask@fsv.cvut.cz 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, 166 29 Praha 6, Czech Republic

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

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

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

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

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

Graphic Presentation 2D b2 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

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

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

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

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

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

I-divergence Function for Project Evaluation End of Presentation Doc. Ing. Beran V., DrSc. beran@fsv.cvut.cz Doc. Ing. Dlask P., Ph.D. dlask@fsv.cvut.cz I-divergence Function for Project Evaluation CTU, Faculty of Civil Engineering, Dept. of Economic and Management in Civil Engineering Thákurova 7, 166 29 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 email communication. Thank you for your attention. Thank you for your time. CESB 2007 Prague CTU in Prague