This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the as portfolio choice under time-varying capacity constraint. derive investment strategy specific condition on model parameters in terms of second-order ordinary differential equations. demonstrate endogenous number that measures expected value to sustain spending post-re...

This paper considers the problem of minimizing make-span and maximum tardiness simultaneously for scheduling jobs under non-identical job sizes, dynamic job arrivals, incompatible job families,and sequence-dependentfamily setup time on the single batch- processor, where split size of jobs is allowed between batches. At first, a new Mixed Integer Linear Programming (MILP) model is proposed for t...

The principal objective for this work was to extend the field of application FEM space frame beam-column connections under static loading and with lateral displacements. A four-storey building modelled load condition. Horizontal vertical structural elements were designed according Eurocode 2. In order understand behavior external node made by column, two beam upper models using correct boundary...

We study the equilibrium states for an energy functional with a parametric force field on a region of a surface. Consideration of free equilibrium states is based on Lyusternik - Schnirelman's and Skrypnik's variational methods. Consideration of equilibrium states under a constraint of geometrical character is based on an analog of Skrypnik's method, described in [P. Vyridis, {it Bifurcation in...