Profit Estimation for a Gas Separator Plant under Pre-Emptive

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.

並列關鍵字

Gas separator system ； Laplace transform ； long-run behavior ； markovian process ； supplementary variables

國際替代計量

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