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It has been almost fifty years since the first papers on the application of reliability theory to mining problems were published in the United States. Developing rapidly in the late 1950s and 1960s, reliability theory quickly found a wide application in mining engineering. Ten years later "Terotechnology" became popular in the UK and at the same time its counterpart "Theory of Exploitation" was introduced in Central Europe. Similar to reliability theory, they both found wide application in mining. Since then a lot of articles have been published in many countries concerning these scopes of considerations but a wider elaboration on this topic was still lacking. This book gives an explanation of the mutual relationships between terotechnology and the theory of exploitation, and presents the fundamentals of the theory of exploitation and its role in relation to mining engineering where mine machines and machinery systems are concerned. Further, statistical diagnostics, exploitation processes of machines, reliability and its models, and the methods of modelling and analysis of the processes of changes of states are treated.
A significant part of the book deals with cyclical systems that are in common use. A variety of models are considered supported by many case studies. The last chapter deals with combined systems operating in a mixed manner. Finally, an analyses of the influence of the inhomogeneity of a different nature in a shovel-truck type system is given.
The examples presented in the book are based on the data coming from operation of pieces of equipment from different mines and different countries.
This book will be of particular interest to students, academics and lecturers of mining faculties and schools of mining. Mining Engineers and other professionals in the mining industry will also find this book of interest. Finally, students in mathematics will find practical applications and problem solving in this book.
Contents
Introduction: Terotechnology and Theory of exploitation 1
Exploitation theory 9
Fundamentals 9
Exploitation theory in mining – preliminaries 13
Statistical diagnostics 17
Randomness of a sample 19
Outliers analysis 22
Stationarity testing of sequences 29
Stationarity testing of variance in sequences 34
Cyclical component tracing 38
Autocorrelation analysis 47
Homogeneity of data 50
Mutual independence of random variables 54
Mutual dependence of random variables 56
Exploitation process – Cases of study 65
An exploitation process of an underground monorail suspended loco 66
An exploitation process of a truck in a shovel-truck system 75
An exploitation process of a power shovel 82
Exploitation processes of a continuous miner and a shuttle car 85
Reliability and its models applied for a single piece of equipment 95
Belt conveyors 95
5.1.1. Stream of failures model 96
5.1.2. Process of changes of states: work-repair type 100
Hoisting installations 105
Hoist head ropes 110
5.3.1. A model of the hoist head rope wear process of a fatigue type 110
5.3.2. Approximation functions applied 115
5.3.3. Memory in the wearing process of ropes –
further approximation functions 119
5.3.4. Rope reliability 128
System of machines operating in parallel 141
Systems of machines of continuous operation 147
Introduction 147
Principles of reduction of series systems 151
Cases of study 154
Calculation of systems 172
Quick approximation of system output 174
Semi-Markov systems 176
Cyclical systems – selected problems 197
A general model of queue theory 197
Mathematical classification of cyclical systems 201
The repairman problem 202
The Palm model 203
A system without losses 207
Erlangian systems 210
The Takács model 216
The Maryanovitch model 222
The randomised Maryanovitch model 227
8.10. The G/G/k/r model for heavy traffic situation 236
Combined systems 247
A shovel-truck system and in-pit crushing 247
A shovel-truck system and an inclined hoist of the TruckLift type 266
A stream of extracted rock– shaft bin – hoist 288
Special topic: Homogeneity of a shovel-truck system 313
References 319
Jacek Czaplicki received his Master of Science in Mine Mechanization from the Silesian University of Technology, Gliwice, Poland. He also obtained a Doctorate degree in Technical Sciences and his Doctor in Science degree in Mining and Geological Engineering with a specialization in Mine Machinery at the same University.
He worked for three years at the Kwara State College of Technology, Ilorin, Nigeria on a UNESCO project. A few years later he was appointed to Zambia Consolidated Copper
Mines Ltd and worked as a lecturer at the School of Mines at the University of Zambia as part of a World Bank project.
He has published more than a hundred and twenty papers. His specialization comprises mine transport, reliability and computation of mine machinery and their systems and reliability of hoist head ropes. He is an internationally recognized specialist in mine mechanization.