Non-equidistance grey model NGM(1,1) which was proposed by Deng has emerged as a powerful tool for the prediction and analysis of non-equidistance data series under uncertain system. It carries out the system analysis and prediction based on accumulated generating operation (AGO) to reduce the randomness of original series and obtain high accuracy. But the AGO only used observed whitening data,...

In order to accurately describe real systems with seasonal disturbances, which normally appear monthly or quarterly cycles, a novel discrete grey model, abbreviated as DGSM(1, 1), is put forward by incorporating the dummy variables into conventional model. Moreover, mechanism and properties of this proposed model are discussed in depth, revealing inherent differences from existing models. For v...

The purpose of this paper is to compare the prediction models constructed through neural network and grey theory, and to apply the prediction model established to study of correlation between linear motion guide rigidity under the stress of tension and compression. Strain data of tension and compression are simultaneously obtained by the computer that is linked with the Universal testing machin...

For maneuvering target tracking, we propose a novel grey prediction based particle filter (GP-PF), which incorporates the grey prediction algorithm into the standard particle filter (SPF). The basic idea of the GP-PF is that new particles are sampled by both the state transition prior and the grey prediction algorithm. Since the grey prediction algorithm is a kind of model-free method and is ab...

This thesis concerns grey cast iron gas pipelines in Amsterdam managed by the regional gas and electricity grid operator Liander. Due to brittle nature and aging process of grey cast iron, probability of explosion in this type of pipelines seems to be increasing. A model for the gas explosion probability is proposed. Multiple factors are taken into consideration, including pipe’s age, length, w...