Nature is rich with many different examples of the cohesive motion of animals. Previous attempts to model collective motion have primarily focused on group behaviours of identical individuals. In contrast, we put our emphasis on modelling the contributions of different individual-level characteristics within such groups by using stochastic asynchronous updating of individual positions and orien...

This paper presents an efficient method for updating the structural finite element model. Model updating is performed through minimizing the difference of recorded acceleration of real damaged structure and hypothetical damaged structure, by updating physical parameters in each phase using iterative process of Levenberg-Marquardt algorithm. This algorithm is based on sensitivity analysis and pr...

Stochastic Boolean networks, or more generally, stochastic discrete networks, are an important class of computational models for molecular interaction networks. The stochasticity stems from the updating schedule. Standard updating schedules include the synchronous update, where all the nodes are updated at the same time, and the asynchronous update where a random node is updated at each time st...

This paper presents a stochastic operational optimization method for metallurgical blending processes by focusing on the uncertainty of composition of raw materials, where the stochastic optimization model is firstly formulated by explicitly incorporating uncertain parameters into the constraints as random variables. Then an efficient sampling technique is utilized to construct the expectation ...

in this paper at rst, a history of mathematical models is given.next, some basic information about random variables, stochastic processesand markov chains is introduced. as follows, the entropy for a discrete timemarkov process is mentioned. after that, the entropy for sis stochastic modelsis computed, and it is proved that an epidemic will be disappeared after a longtime.

Retailers, from fashion stores to grocery stores, have to decide what range of products to offer (assortment planning) and what prices to charge (price optimization). New business trends, such as mass customization and shorter product life cycles, make predicting demand more difficult, which in turn complicates assortment planning and price optimization. We propose and study a stochastic dynami...

I study an agent’s optimal consumption-saving and portfolio choice decisions when he cannot fully insure his income shocks and does not know his income growth rate. I show that the agent rationally saves for precaution against the risk of estimating his income growth, in addition to his standard precautionary saving demand induced by income volatility. I then extend the analysis to allow for th...

General stochastic binary Hop eld models are viewed from the angle of statistical mechanics. Both the general unconstrained binary stochastic Hop eld model and a certain constrained one are analyzed yielding explicit expressions of the free energy. Moreover, conditions are given for which some of these free energy expressions are Lyapunov functions of the corresponding di erential equations. In...

in this paper, we present an application of the stochastic calculusto the problem of modeling electrical networks. the filtering problem have animportant role in the theory of stochastic differential equations(sdes). in thisarticle, we present an application of the continuous kalman-bucy filter for a rlcircuit. the deterministic model of the circuit is replaced by a stochastic model byadding a ...

marine industry requires continued development of new technologies in order to produce oil. an essential requirement in design is to be able to compare experimental data from prototype structures with predicted information from a corresponding analytical finite element model. in this study, structural model updating may be defined as the fit of an existing analytical model in the light of measu...