Abstract
Mathematical modeling is a technique that is widely used to perform various types of analysis in the area of engineering. In such models, system components are represented by idealized elements assumed to have all the representative characteristics of real-life components, and whose behavior is possible to be described by equations. However, the degree of realism of a mathematical model depends on the assumptions imposed upon it.
Over the years, a large number of mathematical models have been developed to study the reliability, maintainability, and safety of engineering systems. Many of these models were developed using stochastic processes including the Markov approach [1–3]. Although the effectiveness of such models can vary quite considerably from one application area to another, some of these models are being used quite successfully for studying various types of real-life problems in industry [4, 5]. Thus, some of these mathematical models can also be used to study safetyrelated problems in the area of mining. This chapter presents the mathematical models considered useful to perform various types of safety-related analysis in mines.
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(2010). Mathematical Models for Performing Safety Analysis in Mines. In: Mine Safety. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-1-84996-115-8_11
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DOI: https://doi.org/10.1007/978-1-84996-115-8_11
Publisher Name: Springer, London
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