this paper proposes a family of robust counterpart for uncertain linear programs (lp) which is obtained for a general definition of the uncertainty region. the relationship between uncertainty sets using norm bod-ies and their corresponding robust counterparts defined by dual norms is presented. those properties lead us to characterize primal and dual robust counterparts. the researchers show t...

in recent years according to the growing companies andproducts supplied, and competition between them has intensified. productsand diversity, one of the main concerns of commercial institutions.therefore, selecting the media to introduce and is important therelationship between customers’ products. given the multiplicity of mediain promoting and marketing the products, they are the optimalchoic...

abstract in current study, an irrigation examination and acquisition of environmental water in kor-river fields, that is dominated from doroudzan dam to bakhtegan lake, was done by an integrated economy-environmental model. the model was considered by economic, hydrologic and agronomic components. in the economic component, an optimal harvesting of water was done using non-linear programming in...