Stochastic behaviour of A.T.M. system with Head-of-line repair

International Journal of Applied Mathematics and Computation

Deepankar Sharma¹  Surbhi Agarwal² 

[1] Department of Mathematics D.J. College of Engg. & Technology, Modinagar, U.P., India$$;A.K.G. College of Engg. & Technology, Ghaziabad, U.P., India$$

关键词: Supplementary variables;    Laplace transform;    Steady-state behaviour;    Availability and cost function;   

DOI  :  10.0000/ijamc.2011.3.2.101

来源: PSIT Kanpur

【 摘 要 】

In this paper, the author has been considered an A.T.M. (automated Teller Machine) system to analysis its stochastic behaviour. Supplementary variables have been used to convert the Non-Markovian process into Markovian. Laplace transform has been utilized to solve the mathematical model of considered system. Laplace transform of all transition state probabilities, steady-state behaviour of the system, availability and cost function of considered system have been obtained. A particular case has also been computed to enhance practical utility of the model. Graphical illustration followed by a numerical example has been appended in the end to highlight important results of the study.

【 授权许可】

Unknown