Research Article Open Access

Analysis of a Two Unit Standby Oil Delivering System with a Provision of Switching Over to another System at Need to Increase the Availability

Upasana Sharma1, Rekha1 and Gulshan Taneja1
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Journal of Mathematics and Statistics
Volume 7 No. 1, 2011, 57-60

DOI: https://doi.org/10.3844/jmssp.2011.57.60

Submitted On: 13 March 2010 Published On: 31 January 2011

How to Cite: Sharma, U., Rekha, & Taneja, G. (2011). Analysis of a Two Unit Standby Oil Delivering System with a Provision of Switching Over to another System at Need to Increase the Availability. Journal of Mathematics and Statistics, 7(1), 57-60. https://doi.org/10.3844/jmssp.2011.57.60

Abstract

Problem statement: The study deals with a standby system consisting of two units. Initially one unit is operative and the other is standby. When both the units are failed then there is a provision of switching over to the other similar system. This practical situation may be observed in an oil refinery plant. Real data on failure and repair rates of such units collected from oil refinery plant, Pani pat, India have been used for present study. Approach: The system is analyzed by making use of semi-Markov processes and regenerative point technique. Results: Expression for the expected profit is obtained after obtaining various measures of system effectiveness. Graphical analysis is also done for a particular case and various interpretations are made. Conclusion: Upper/lower limits for various rates/costs/probabilities can be obtained to get the positive profit for the system and to decide about the least value of the price of the product to be produced.

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Keywords

  • Oil delivering standby system
  • Semi Markov process
  • regenerative point technique
  • measures of system effectiveness
  • profit analysis