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Abstract
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Article Information:
Profit Estimation for a Gas Separator Plant under Pre-Emptive Repeat Repair Policy
K. Pravesh and D. Sharma
Corresponding Author: Deepankar Sharma
Submitted: 2010 November, 11
Accepted: 2010 December, 02
Published: 2011 February, 15 |
Abstract:
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In this study, the authors have considered a gas separator plant for its profit estimation. This whole
system can fail due to failure of any of its subsystems. On failure of any one gas separator, the whole system
works in degraded state. All failures follow exponential time distribution whereas all repairs follow general time
distribution. Pre-emptive repeat policy has been adopted for repair purpose. The repair of subsystem A, B and
D are pre-empting over the repair of one unit of subsystem C. Also, the system has to wait for repair, in case,
whole subsystem C failed; otherwise repair facilities are always available. Supplementary variables technique
and Laplace transform have been used to formulate and solve the mathematical model of considered system,
respectively. A particular case, when repairs follow exponential time distribution, and long run flow state
probabilities have also been computed to improve practical utility of the model. A numerical computation
together with its graphical illustration has appended at last to highlight important results of the study.
Key words: Gas separator system, Laplace transform, long- run behavior, markovian process, supplementary variables, ,
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Abstract
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Cite this Reference:
K. Pravesh and D. Sharma, . Profit Estimation for a Gas Separator Plant under Pre-Emptive Repeat Repair Policy. Research Journal of Mathematics and Statistics, (1): 45-50.
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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