Bilevel programs are optimization problems which have a subset of their variables constrained to be an optimal solution of another problem parameterized by the remaining variables. They have been applied to decentralized planning problems involving a decision process with a hierarchical structure. This paper considers the linear fractional/quadratic bilevel programming (LFQBP) problem, in which...

For a shape optimization problem a special approach for the description of the boundary variation is investigated. This, together with the use of a potential ansatz for the state, allows a natural embedding of the problem in a Banach space. Therefore, the standard diierential calculus can be applied in order to prove Fr echet-diierentiability of the objective for appropriately choosen data (suu...

A sequential optimality condition characterizing the efficient solution without any constraint qualification for an abstract convex vector optimization problem is given in sequential forms using subdifferentials and 2-subdifferentials. Another sequential condition involving only the subdifferentials, but at nearby points to the efficient solution for constraints, is also derived. Moreover, we p...

In order to obtain phosphatidylcholine (PC) with higher amount of oleic acid, the interesterification between soybean PC and Camellia oleifera oil (COO) rich in oleic acid catalyzed by lipase was studied in hexane. For this aim three commercially available immobilized lipases (Novozym 435, Lipozyme TLIM and Lipozyme RMIM) were assayed and Novozym 435 was finally selected for further optimizatio...

Deleterious effect of high concentration fluoride in water resources on the healthof human. The MgO supported Fe-Co-Mn nanoparticles were produced via coprecipitationmethod and characterized by SEM and FTIR techniques. In the work,the adsorption process optimization was performed by response surface modelingwith the help of Minitab 16 software. The effect of independent ...

The influence of temperature, reaction time, and type the catalyst on yield 2,3,5-trimethylpyridine (collidine) from 3-amino-2-methylpropenal methylethylketone was investigated. 3-Amino-2-methylpropenal synthesized 3-ethoxy-2-methylacrolein previously methylmalondialdehyde tetraethyl acetal, obtained triethyl orthoformate propenyl ether. optimal conditions for investigated synthesis were temper...