Analysis of the Reliability of the Butter-Oil Processing Plant using CAS Mathematica and Maxima
Shalini Jindal1, Reena Garg2, Tarun Garg3

1Shalini Jindal*, Research Scholar, Department of Mathematics, J. C. Bose University of Science and Technology, YMCA, Faridabad (Haryana-India).
2Dr. Reena Garg, Assistant Professor, Faculty of Sciences (Department of Mathematics), J. C. Bose University of Science and Technology, YMCA, Faridabad (Haryana)-India.
3Dr. Tarun Kumar Garg, Associate Professor, Satyawati college, University of Delhi, Delhi-India
Manuscript received on February 27, 2020. | Revised Manuscript received on March 14, 2020. | Manuscript published on March 30, 2020. | PP: 4966-4972 | Volume-8 Issue-6, March 2020. | Retrieval Number: F9161038620/2020©BEIESP | DOI: 10.35940/ijrte.F9161.038620

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Abstract: The aim of the present paper is to analysis the reliability of the system by using CAS Mathematica and also, it’s comparative study with CAS Maxima. The butter oil manufacturing plant consists of seven units i.e. separator, pasteurizer, continuous butter making, melting vats, butter oil clarifier, packaging and standby state. Model is developed by using Markov birth-death process. The first order differential equations are derived by using model and then solved for comparative study of reliability to give accuracy in result. By using Mathematica, we calculate probability of each state, which is beneficial to plant owners because better accuracy in result enhance reliability of the plant Graphs are plotted and tables are developed with the help of CAS Mathematica and Maxima, graphs show the variation and tables shows the fluctuations in reliability in comparative manner.
Keywords: Reliability, Chapman Kolmogorov Differential Equations, Markov Process, Mathematica, Maxima, Butter-oil Processing Plant.
Scope of the Article: Signal and Speech Processing.