The mechanical properties of a deformed workpiece are sensitive to the initial microstructure. Often, the initial microstructure is random in nature and location specific. To model the variability of properties of the workpiece induced by variability in the initial microstructure, one needs to develop a reduced order stochastic input model for the initial microstructure. The location-dependence...

Stochastic modeling under location uncertainty considers conservation laws of quantities subject to a stochastic transport. This framework allows us extend the linearized models type resolvent analysis into form which influence turbulence onto coherent structures in physically consistent manner, i.e. through We show ability this model predict logarithmic layer turbulent channel flow at friction...

A cellular engineer typically estimates system performance via simulation. Most cellular operations software provides data from which one can infer the average, busy hour, subscriber location distribution, which becomes an input to the simulation. When the simulation does not include mobility, as is typical with Monte Carlo simulations, modeling this distribution is a straight-forward task. How...

Based on the idea of fault detection and isolation (FDI) for the distributed parameters system, a practical approach of sub-sea pipelines leak detection and location is discussed. The discrete fluid transient equation is linearized and coupled with the extended Kalman filter (EKF) to estimate system state where the only observed data were inlet and outlet flow rate and pressure. The leak estima...

This paper proposes a new location problem of competitive facilities, e.g. shops and stores, with uncertain demands in the plain. By representing the demands for facilities as random variables, the location problem is formulated to a stochastic programming problem, and it is reformulated to three deterministic programming problems: expectation maximizing problem, probability maximizing problem,...

This paper proposes a new location problem of competitive facilities, e.g. shops and stores, with uncertain demands in the plane. By representing the demands for facilities as random variables, the location problem is formulated to a stochastic programming problem, and for finding its solution, three deterministic programming problems: expectation maximizing problem, probability maximizing prob...

Stochastic analysis of edge detectors can be made either by theoretical modeling of the image formation process and the edge detectors or by empirical stochastic analysis of the edge locations. In this paper we study and model the image formation process in detail. In particular the much neglected discretisation process is modelled and taken into account. One of the major results of the paper i...