Journal
SYMMETRY-BASEL
Volume 15, Issue 6, Pages -Publisher
MDPI
DOI: 10.3390/sym15061220
Keywords
stochastic systems; statistical model; reliability; prediction; profit analysis; manufacturing; innovation; symmetry
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The paper evaluates the availability, reliability, and other measures of system effectiveness for two stochastic models, a cold standby system and a hot standby system, with varying demand. The study demonstrates that the hot standby system is more expensive than the cold standby system under certain circumstances. The authors analyzed both models using semi-Markov and regenerative point techniques and collected actual data to illustrate the findings.
Decisive applications, such as control systems and aerial navigation, require a standby system to meet stringent safety, availability, and reliability. The paper evaluates the availability, reliability, and other measures of system effectiveness for two stochastic models in a symmetrical way with varying demand: Model 1 (a two-unit cold standby system) and Model 2 (a two-unit hot standby system). In Model 1, the standby unit needs to be activated before it may begin to function; in Model 2, the standby unit is always operational unless it fails. The current study demonstrates that the hot standby system is more expensive than the cold standby system under two circumstances: a decrease in demand or the hot standby unit's failure rate exceeding a predetermined threshold. The cold standby system's activation time is at most a certain threshold, and turning both units on at once is necessary to handle the increasing demand. In that case, the hot standby will be more expensive than the cold standby system. The authors used semi-Markov and regenerative point techniques to analyze both models. They collected actual data from a cable manufacturing plant to illustrate the findings. Plotting several graphs and obtaining cut-off points make it easier to choose the standby to employ.
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