This paper extended TOPSIS (Technique for Order Preference by Similarity Ideal Solution) method for solving Two-Level Large Scale Linear Multiobjective Optimization Problems with Stochastic Parameters in the righthand side of the constraints (TL-LSLMOP-SP)rhs of block angular structure. In order to obtain a compromise ( satisfactory) solution to the (TL-LSLMOP-SP)rhs of block angular structure ...

The aim of this paper is to provide a more realistic description of priority-discipline queueing models by using Fuzzy Set Theory. It develops and optimizes two fuzzy queueing models with priority-discipline, a model with nonpreemptive priorities system and a model with preemptive priorities system, denoted by M̃i /M̃i /1 and M̃i /Fi /1. The first symbol is for a queueing system where arrivals and...

In image-restoration problems involving a known blur, set-theoretic estimation provides an effective framework for incorporation of both noise statistics and a priori information. However, the sets formulated for use with known blurs are not suitable for situations involving unknown stochastic blurs. In this paper, new sets based on an error in variables criterion are developed, which are more ...

A probability density function verifies more demanding properties than a possibility measure. Probabilistic models ensure a predictable asymptotic behaviour. This should not be taken to suggest possibility theory should not be used. In fact, a histogram is a possibility measure and it is generally a better descriptor of a small sample of data than a probability density function regardless of it...

In this paper we study the quantity E supt∈T Xt, where Xt is some random process. In the case of the Gaussian process, there is a natural sub-metric d defined on T . We find an upper bound in terms of labelled-covering trees of (T, d) and a lower bound in terms of packing trees (this uses the knowledge of packing numbers of subsets of T ). The two quantities are proved to be equivalent via a ge...

background one of most important operations research problems is nurse scheduling problem (nsp) that tries to find an optimal way to assign nurses to shifts with a set of hard constraints. most of the researches are dealing with this problem in deterministic environment with constant parameters. while in the real world applications of nsp, the stochastic nature of some parameters like number of...

A limit of attainability sets is found for a linear two-scale stochastic system for the case when the diffusion coefficient of the fast variable is of order ε1/2. The attainability set is defined as the set of distributions of attainable terminal values of solutions of stochastic differential equations. As a corollary we calculate a limit of the optimal value of the terminal cost in the stochas...

in this paper, a high-order and conditionally stable stochastic difference scheme is proposed for the numerical solution of $rm ithat{o}$ stochastic advection diffusion equation with one dimensional white noise process. we applied a finite difference approximation of fourth-order for discretizing space spatial derivative of this equation. the main properties of deterministic difference schemes,...

in this paper, a stochastic two-stage model is offered for optimization of the day-ahead scheduling of the microgrid. system uncertainties including dispatchable distributed generation and energy storage contingencies are considered in the stochastic model. for handling uncertainties, monte carlo simulation is employed for generation several scenarios and then a reduction method is used to d...

People arrive one at a time to a theater consisting of m rows of length n. Being unfriendly they choose seats at random so that no one is in front of them, behind them or to either side. What is the expected number of people in the theater when it becomes full, i.e., it cannot accommodate any more unfriendly people? This is equivalent to the random process of generating a maximal independent se...