Improperly efficient solutions in the sense of Geoffrion linear fractional vector optimization problems with unbounded constraint sets are studied systematically for first time this paper. We give two conditions which assure that all a given problem improperly efficient. also obtain necessary an solution to be As result, we have new sufficient Geoffrion’s proper efficiency. The obtained results...

The building sector accounts for a substantial amount of energy consumption, resulting in higher carbon emissions and environmental impact worldwide. Electrification efficiency systems can be the key to decarbonization buildings. This research proposes new heating cooling loops consisting heat pumps lower natural gas usage systems. Typical chillers boilers are replaced with serve loads maintain...

in this study, amine functionalized kit-6 silica mesoporous magnetite nanocomposite (nh2-mmnc) was synthesized by chemical methods and used as an efficient and recoverable adsorbent for removal of ponceau 4r, as a toxic dye, from aqueous solutions. the synthesized nanocomposites were characterized by xrd, ft-ir, bet and sem instruments. the effect of various experimental parameters on the dye r...

This article analyzes a strongly nonlinear oscillator with cubic and harmonic restoring force and proposes an efficient analytical technique based on the modified energy balance method (MEBM). The proposed method incorporates higher-order approximations. After applying the proposed MEBM, a set of complicated higher-order nonlinear algebraic equations are obtained. Higher-order nonlinear algebra...