Computation of Alarm Relevant Probabilities Using Geometric Random Variable Modeling
| Autor: | Nishanth Mundru, Ramkrishna Ghosh, Mani Bhushan |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Markov chain business.industry Computation Pattern recognition 02 engineering and technology Function (mathematics) Variation (game tree) Geometric distribution Recursive form ALARM 020901 industrial engineering & automation 020401 chemical engineering Control and Systems Engineering Timer Artificial intelligence 0204 chemical engineering business Algorithm Mathematics |
| Zdroj: | IFAC-PapersOnLine. 50:2866-2871 |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2017.08.641 |
| Popis: | Optimally designed alarm systems In this work, we derive expressions for probabilities of detecting alarms with various delays when on-delay timer is used. In the on-delay timer strategy, an alarm is generated if thresholds are violated for n consecutive instants with n being user specified. We rigorously derive the probability expressions using geometric random variable modeling. The derived expressions are shown to be identical to those available in literature using Markov chain modeling. Use of geometric random variable enables us to obtain a recursive form for these expressions which offers insights about the variation in probabilities as a function of the delay. |
| Databáze: | OpenAIRE |
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