In this paper, the authors proposed the reliability mathematical modeling of a biometric system that computerizes the whole process of taking attendance and keeping its records in an academic institute. Manually taking attendance and sustaining it for a long time is very difficult as well as wastes a lot of time. For this cause, an efficient system has to be designed. This system takes attendance electronically with the help of a fingerprint scanner, and all the records are saved on a computer server. In order to mark the attendance, student or employee has to place his/her finger on the fingerprint sensor. On proof of identity student’s or employee’s record is well-run in the database, and he/she is reported through liquid-crystal display screens. Here, the authors evaluated reliability measures of the system such as availability, reliability, mean time to failure (MTTF), cost analysis and sensitivity analysis with the help of Laplace transformation, supplementary variable technique, and Markov technique.

PurposeTo analyze the performance of multistate cloud computing transition system through the various reliability measures is the purpose of this paper.Design/methodology/approachIn this article, a mathematical model for a multistate cloud computing transition system with various types of failures has been analyzed by using the Markov process, supplementary variable technique and Laplace transformation.FindingsVarious reliability measures such that reliability, availability, mean time to failure (MTTF), mean time to repair and cost analysis have also been analyzed. This article presents some geographic illustrations for the practical utility of the model.Originality/valueThe authors developed a mathematical model to analyze the reliability of the cloud computing transition system by considering the possible failures.

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The objective of this research paper is, to present the reliability measures of a model by representing an industrial system having three subsystems. Two of the subsystems have standby unit while the third one has n units in parallel configuration. The entire system can fail due to a failure in subsystems or due to the catastrophic failure. The system failure and the repair rates are assumed to be constant. Markov and supplementary variable methodologies have been used to achieve the mathematical analysis of this model. Generalized expressions of state probabilities, system availability, reliability, mean time to failure, mean time to repair, cost analysis and sensitivity analysis are developed. Graphs for the resulting expressions have been shown.