0382158 20240103201402.920121031235959.9 000316715900054 6 s. P cav_un_epca*0380980978-80-7248-779-0314-319KarvináSilesian University in Opava, School of Business Administration in Karviná2012RamíkJaroslavStavárekDaniel stochastic programming convexity value-at-risk models cav_un_auth*0108104 Houda Michal Ekonometrie Department of Econometrics E E UTIA-B Department of Econometrics Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2012/E/houda-convexity in stochastic programming model with indicators of ecological stability.pdf GAP402/10/0956 GA ČR cav_un_auth*0263482 We develop an optimization model dealing with construction expenses that are prescribed as a result of the EIA (Environmental Impact Assessment) process. The process is an obligatory part of every large construction project and evaluates possible influences of the project to the environment, including population health, natural and other socio-economic aspects; the result of the process is a set of recommendation and arrangements the construction must meet. Our optimization model incorporates uncertainties in model parameters; we represent them through their probabilistic distribution. Furthermore, to overcome a problem with quantifying subjective utility function of ecological impacts, we measure them by so-called indicators of ecological stability. The resulting problem is stochastic programming problem formulated as (C)VaR model used traditionally in finance area. In our contribution we deal with convexity properties of this problem – these are especially important from the theoretical as well as from the computational point of view. cav_un_auth*0283511 30th International Conference Mathematical Methods in Economics 2012 Karviná 11.09.2012-13.09.2012 CZ 2013 BB 1 PR RVO:67985556 http://hdl.handle.net/11104/0212459 2012 000316715900054 WOS cav_un_epca*0380980 Proceedings of 30th International Conference Mathematical Methods in Economics 978-80-7248-779-0 314 319 Karviná Silesian University in Opava, School of Business Administration in Karviná 2012 Ramík Jaroslav 340 Stavárek Daniel 340