@ARTICLE{Piwowarski_Wiesław_Relational_2001,
 author={Piwowarski, Wiesław},
 number={No 1},
 journal={Gospodarka Surowcami Mineralnymi - Mineral Resources Management},
 pages={75-90},
 howpublished={online},
 year={2001},
 publisher={Komitet Zrównoważonej Gospodarki Surowcami Mineralnymi PAN},
 publisher={Instytut Gospodarki Surowcami Mineralnymi i Energią PAN},
 abstract={The paper presents a relational model of random process prognosis related to the description of ground points dislocations within the area ofundcrground exploitation influence. The prognosis ofthe analysed nonstationary process refers to the moment t,," with the restriction, that both the process state until moment t,, (survey results) as well as underground exploitation development generating given process arc known. Moreover, an assumption has been introduced, that the investigated process is a composition of deterministic component and of random quantity. The process of post-mining dislocations has been analysed as random walk ofrockmass particle -Markov chain - leading to diffusion process. In result partial differential equation has been obtained. What has been carried out for utilitarian purposes is the optimization of presented model with regard to several temporal horizons ofsurveying within the period ofnonstationary dislocations formation. The quality ofthe description has been characterised by mean square error in relation to dislocations survey results the actual mining-geological situation.},
 type={Artykuł},
 title={Relational model - survey results as related to quantitative description of random process},
 URL={http://journals.pan.pl/Content/132717/PDF-MASTER/4_GSM_17_1_2001_Piwowarski_Model.pdf},
 keywords={Underground working, chain Markov, surveys, nonstationary process, post-mining dislocations, differentials equations, determinate componcns, random quantity},
}