In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...

Two major approaches to deal with randomness or impression involved in mathematical programming problems have been developed. The one is called stochastic programming, and the other is called fuzzy programming. In this paper, we focus on multiobjective integer programming problems involving random variable coefficients in constraints. Using the concept of simple recourse, such multiobjective st...

In recent years belief networks have become a popular representation for reasoning under uncertainty and are used in a wide variety of applications. There are a number of exact and approximate inference algorithms available for performing belief updating, however in general the task is NP-hard. To overcome the problems of computational complexity that occur when modelling larger, real-world pro...

BACKGROUND AND OBJECTIVE Caffeine treatment is widely used in nursing care to reduce the risk of apnoea in premature neonates. To check the therapeutic efficacy of the treatment against apnoea, caffeine concentration in blood is an important indicator. The present study was aimed at building a pharmacokinetic model as a basis for a medical decision support tool. METHODS In the proposed model,...

this article aims at designing the mathematical model for aras dam reservoir in time operation with missions of agriculture needs safeguarding, water electric energy production and torrent controls. reservoir system relations determinate and these relations at framework of are determined and stochastic dynamic programming are calculated executive results of this model are presentation of guides...

Reservoir modeling is the process of generating numerical representations of reservoir conditions and properties on the basis of geological, geophysical, and engineering data measured on the Earth’s surface or in depth at a limited number of borehole locations. Therefore, reservoir modeling requires an incorporation of the data from a variety of sources, along with an integration of knowledge a...

Retailers, from fashion stores to grocery stores, have to decide what range of products to offer, i.e., their product assortment. New business trends, such as mass customization and shorter product life cycles, make predicting demand more difficult, which in turn complicates assortment planning. We propose and study a stochastic dynamic programming model for simultaneously making assortment and...

A framework for the probabilistic finite element model updating based on measured modal data is presented. The described applied to a seven-storey building made of cross-laminated timber panels. experimental estimates forced vibration test are used in process updating. First, generalized Polynomial Chaos surrogate derived representing map from parameters eigenfrequencies and eigenvectors. To ov...