"I, P(GAP402/10/0956)" . "Slezsk\u00E1 univerzita v Opav\u011B. Obchodn\u011B podnikatelsk\u00E1 fakulta v Karvin\u00E9" . "978-80-7248-779-0" . . . "[FD75996EE5FB]" . . . "6"^^ . "RIV/67985556:_____/12:00382158!RIV13-AV0-67985556" . . . "Proceedings of 30th International Conference Mathematical Methods in Economics" . . . "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 \u2013 these are especially important from the theoretical as well as from the computational point of view." . "stochastic programming; convexity; value-at-risk models"@en . "2012-09-11+02:00"^^ . . . . . "RIV/67985556:_____/12:00382158" . . "1"^^ . "1"^^ . . . . "Karvin\u00E1" . "Convexity in stochastic programming model with indicators of ecological stability" . "Karvin\u00E1" . . "Convexity in stochastic programming model with indicators of ecological stability"@en . "Convexity in stochastic programming model with indicators of ecological stability"@en . "128761" . . "Houda, Michal" . "Convexity in stochastic programming model with indicators of ecological stability" . "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 \u2013 these are especially important from the theoretical as well as from the computational point of view."@en .