1Astt. Prof., Dept of Applied Maths, P.C.E, New Panvel, Navi Mumbai, India
2Prof., Dept. of Maths, Dr K N Modi Institute of Engg & Tech., Modinagar, India
Online published on 4 May, 2019.
In this study, the authors have considered a summer air conditioning system for a place in hot and dry weather. The authors have computed the availability and profit function for this system. Since the system under consideration is of Non-Markovian nature, the author has been used supplementary variables to convert this into Markovian. Probability considerations and limiting procedure have been used for mathematical formulations of the system. This mathematical model has been solved by using Laplace transform, to obtain probabilities of various transition states depicted in fig-1(b). Reliability, availability and M.T.T.F. for considered system have been obtained. Graphical illustration followed by a numerical computation has also been appended at last to highlight important results of this study.
Parallel redundancy, Markovian process, supplementary variables, steady-state behavior, availability, profit function