Abstract The paper presents a rigorous formulation of adjoint systems to be solved for robust design optimization using the first-order second-moment method. This allows apply method any objective function, which is demonstrated by considering deformation at certain point and maximum stress as objectives subjected random material stiffness geometry, respectively. presented approach requires sol...

The paper considers modeling of risk-averse preferences in stochastic programming problems using risk measures. We utilize the axiomatic foundation of coherent risk measures and deviation measures in order to develop simple representations that express risk measures via solutions of specially constructed stochastic programming problems. Using the developed representations, we introduce a new fa...

The halo approach to large scale structure provides a physically motivated model to understand clustering properties of galaxies. An important aspect of the halo model involves a description on how galaxies populate dark matter halos or what is now called the halo occupation distribution. We discuss a way in which clustering information, especially in the non-linear regime, can be used to deter...

We consider tilings and packings of R by integral translates of cubes [0, 2[, which are 4Z-periodic. Such cube packings can be described by cliques of an associated graph, which allow us to classify them in dimension d ≤ 4. For higher dimension, we use random methods for generating some examples. Such a cube packing is called non-extendible if we cannot insert a cube in the complement of the pa...

A simplified fragility analysis of steel building frame is presented which can be used for preliminary estimate of its probability of failure. The risk analysis procedure uses the format of probabilistic Risk Analysis (PRA) and considers band limited white noise at the bed rock as the seismic input. The steel building frame is modeled as a 2D frame and Pushover analysis is then carried out to o...

The vulnerability of the UHV porcelain arrester is very high under strong earthquake. To rise seismic reliability of the UHV porcelain arrester, a new type lead damper, which is a new patent product, is installed at the bottom of the equipment. To investigate the damping effect of the dampers, the experimental research and finite element analysis on seismic behavior of the UHV porcelain arreste...

Sharp lower and upper bounds for quasiconvex moments of generalized order statistics are proven by the use of the rearranged Moriguti’s inequality. Even in the second moment case, the method yields improvements of known quantile and moment bounds for the expectation of order and record statistics based on independent identically distributed random variables. The bounds are attainable providing ...