Abstract
The present paper stochastically analyze a system comprising two dissimilar units (unit-1/unit-2) working in series configuration. System fails completely when either of the units gets failed. The repair time of unit-2 is considered to be much more as compared to the repair time of unit-1. So, to minimize the breakdown period of the system, a standby unit is provided against the second unit. Regenerative point technique (RPT) is used to develop a semi-markovian reliability model for the mentioned system. Optimum cut-off points concerning the profitability of the system have also been obtained. The model has applications in industries, particularly in aluminum industry.
Highlights
The industries/organizations are being modernized and focused on producing more reliable systems with increased availability and lesser break down time to achieve the set target
To minimize the breakdown period of the system, a standby unit is provided against the second unit
Optimum cut-off points concerning the profitability of the system have been obtained
Summary
The industries/organizations are being modernized and focused on producing more reliable systems with increased availability and lesser break down time to achieve the set target. Malhotra and Taneja [5] stochastically analysed a system wherein operability of more than one unit depends upon requirement. El- Sherbeny [7] studied such systems with the concept of random change of units. Manocha et al [8] investigated database system keeping hot standby unit under constant observation. Dissimilar units system may be observed in the industrial sector. Mokkadis et al [9] analysed a system by considering two types of repair and inspection of failed unit. Sadeghi and Roghanian [10] studied two unit warm standby system by considering two dissimilar units with imperfect. The present study is an attempt to stochastically analyse a system comprising two dissimilar units connected in series (unit-1/unit-2), where a standby unit is kept against the second unit. The technique and the other assumptions taken in the present study are same as that taken in [2].Optimum cut-off points for various costs which affect the profitability of the system have been obtained
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