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<doi>0087-cd</doi>
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<article-title>Probabilities in Safety of Machinery: 2. Risk Reduction Effects with Special Operating Modes</article-title>
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<author>Heinrich M&#246;dden</author>

<aff>German Machine Tool Builders&#39; Association (VDW), Frankfurt am Main</aff>
<email><a href="mailto:h.moedden@vdw.de">h.moedden@vdw.de</a></email>
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<title>ABSTRACT</title>
<p>In order to improve the possibilities of the designer (and also of the standard setter), a simplified Markov model is presented here, which is based on a probability concept for the description of operator activities on a machine. Thus, the risk reduction effects can be scaled probabilistically, at least in the order of magnitude of the powers of ten, since no decimal accuracy can be achieved here. A scaling of the probabilities is advantageous when it comes to the quantitative reliability requirements for safety functions according to ISO 13849-1 (2015). This is the case, for example, with a safe standstill of gravity-loaded vertical axes during operator activities in the working area of a machine, when it is necessary to manually eliminate unexpected problems during machine operation. A logarithmic scale is also used in ISO 13849-1. This paper explains for typical manual interventions how the quantitative requirements of ISO 13849-1 and supplementary safety regulations can be justified probabilistically. In addition, minor errors from the previous essay are corrected.</p>
<p><italic>Keywords: </italic>Objective probability, Functional safety, Machine tool, Hazard, Risk scaling, Risk comparison, Markov model.</p>
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