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EN
We present a noninterior-point predictor-corrector algorithm for variational inequality Problem with equality linear constraints based on Chen-Kanzow-Smale smoothing techniques. This method is based upon a modified predictor-corrector interior-point algorithm. It is established the global linear convergence.
PL
W artykule przedstawiono metodę punktów nie-wewnętrznych predykator-korektor, uwzględniający nierówności wariancyjne z liniowym ograniczeniem liniowości. Jego działanie oparto na technice Chen-Kanzow-Smale oraz zmodyfikowanej metodzie punktów wewnętrznych predykator-korektor. Analizie poddano liniową zbieżność algorytmu.
EN
Four geminal ionic liquids (GILs), namely, 1,4-bis(1,1′-butyl-3,3′- methylene- imidazolium)-benzene bis[(trifluoromethyl)sulfonyl]imide (BBMIB-NTf2), 1,4- bis(1,1′-butyl-3,3′-methylene-imidazolium)-benzene tetrafluoroborate (BBMIB-BF4), 1,4- bis(1,1′-butyl-3,3′-methylene-imidazolium)-benzene hexafluophosphate (BBMIB-PF6), and 1,4-bis(1,1′-methyl-3,3′-methylene-imidazolium)-benzene bis[(trifluoromethyl) sulfonyl] imide (BMMIB-NTf2), were synthesized. They were statically coated onto the inner walls of fused-silica capillary columns and used as stationary phases for gas chromatography. The evaluation of BBMIB-NTf2, BBMIB-BF4, BBMIB-PF6, and BMMIB-NTf2 as stationary phases is reported here for the first time. These new stationary phases exhibit efficiencies of at least 2.3 × 103 plates per meter. Abraham solvation parameter model was used to evaluate the solvation characteristics. The system constants indicated that the dipolarity/polarizability and the hydrogen-bond basicity play a major role among five molecular interactions between stationary phases and solute molecules. A fundamental understanding into the solvation characteristics of these GILs can be used as a guide to choosing the appropriate geminal ionic liquids for specific applications in various fields. The chromatographic separation performance was evaluated by a Grob test mixture, n-alkanes, alcohols, and aromatic isomers. Furthermore, the thermal stability was tested. The present results demonstrate that these geminal ionic liquids stationary phases possess excellent chromatographic separation performance and good thermal stability (at least up to 270 °C) and may be applicable as gas chromatography stationary phases for more application.
3
Content available remote Trust Region Method for Equilibrium Network Design Problem
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EN
This paper addresses a mathematical program with equilibrium constraints (MPEC) for network design problem with respect to link capacity expansions and signal settings, where stochastic user equilibrium constraints are expressed as variational inequality problem. The gradient of object function is received by sensitivity analysis of parametric variational inequality and a trust region method is presented for MPEC. Finally, numerical calculations are conducted and promising results have shown potential of the proposed method in solving network design problem.
PL
W artykule opisano algorytm optymalizacji MPEC do tworzenia sieci, biorący pod uwagę możliwą ilość linków i ustawienia sygnału. W celu uwzględnienia równoważności użytkowników stochastycznych, wykorzystano zagadnienie nierówności wariacyjnej. Poprzez analizy nierówności otrzymano gradient funkcji obiektu oraz obszar ufności dla metody MPEC. Przedstawione wyniki obliczeń wykazują obiecujące efekty działania proponowanej optymalizacji.
EN
Elephants were confined to Mengyang Protected Area in China and their distribution range had reduced greatly compared to past records. A preliminary study of habitat selection by Asian elephantsElephas maximus Linnaeus, 1758 and their distribution was conducted in Mengyang Protected Area and its surrounds using site visits and transect surveys from July 2003 to December 2006. Although no variable significantly influenced their habitat selection, elephants still showed preference for altitudes between 900 and 1200 m, gradients <30°, and orientations to the south-east, south and south-west. Human activities, including habitat transformation and degradation, disturbance by large infrastructure and poaching were considered to be the main factors inducing elephant distribution changes.
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